Counttuts · YouTube · 11:37
This 150-second introductory lecture segment explains Economic Order Quantity (EOQ) first as an inventory-management model for minimizing variable inventory costs, then graphically as the order quantity where holding cost and ordering cost intersect, and finally algebraically through the formula EOQ = sqrt(() / ()). The speaker defines F, S, C, and P, stresses that S must be annual sales in units, and the slide also shows auxiliary formulas for total carrying costs and total restocking costs. This 150-second lecture segment introduces the Economic Order Quantity formula EOQ = sqrt(()/(C x P)) and defines each variable on a static slide. The speaker explains that C must be expressed as a percentage of inventory value and that annual sales may need to be derived from weekly sales. The same slide then presents two auxiliary formulas: total carrying costs = (Q x CC)/2 and total restocking costs = (F x T)/Q. At 122 seconds the video switches to Example 1 for Jersey Limited and reads the given data, but the clip ends before any numerical solution is computed. This clip is an introductory worked example on economic order quantity for Jersey Limited. The lecturer first reads the inventory data, then recalls the formula EOQ = sqrt((2 x F x S)/(C x P)), defines each symbol, and substitutes , , , and . He also warns that weekly or monthly demand must be converted to annual units before using the formula. The calculation yields 12 909.95, which is rounded to 12 910 units. The clip ends by interpreting EOQ as the optimal stock level. Although the slide also asks for a reorder point using a 360-day year, delivery time, and safety stock, that second part is not solved in this segment. This 150-second lecture segment works through an inventory-management example for Jersey Limited. It first recalls the EOQ formula and the computed EOQ of about 12 910 units, then shifts to part 2.2: determining the reorder point. The lecturer defines the reorder level as safety stock plus reorder point, derives daily average usage from 500 000 annual units over a 360-day year, rounds it to 1389 units per day, and multiplies by the 4-day waiting time to obtain a reorder point of 5 556 units. This video segment explains how to calculate the reorder point and re-order levels in units for a manufacturing company, Jersey Limited. Using given data such as annual sales, delivery time, and desired safety stock, the speaker demonstrates the step-by-step numerical calculations. The core concepts covered include daily average usage, the reorder point formula, and how safety stock is integrated into the total order quantity.
Use the learning inspector for key ideas and moments, or open the reading tabs for the complete notes.
Generated from the video's visuals and explanation; not verbatim speech.
The segment opens by naming the topic: Economic Order Quantity, abbreviated EOQ. The speaker frames it as a model for inventory management rather than as a purely accounting term.
The first definition slide states that EOQ is used to establish optimal inventory levels. The narration adds that the goal is to obtain the correct inventory level a company needs.
A second bullet refines the idea: EOQ is the optimum order quantity a company should hold given production cost, demand rate, and other variables. The stated purpose is to minimize variable inventory costs.
The lesson then switches to a graph with cost on the vertical axis and order quantity on the horizontal axis. One line rises and is labeled "Cost of Holding"; another falls and is labeled "Cost of Ordering".
The speaker explains the tradeoff verbally: as holding cost increases, ordering cost decreases. The reason given is that holding more inventory implies larger orders, and larger orders reduce ordering cost.
The key visual point is the intersection of the two lines. A dashed vertical marker drops to the x-axis at "EOQ", showing that EOQ is located where the two cost trends meet. Above them, a U-shaped "Total Cost" curve illustrates the overall cost behavior.
The next slide asks how to calculate EOQ and displays the formula . The speaker reads it aloud and treats it as the practical computation rule.
The symbol legend is then unpacked. is the fixed cost of placing and receiving an order. is annual sales in units. The speaker especially warns that the time basis matters: must be annual, not weekly or another period used carelessly.
The denominator begins with , defined on screen as carrying costs expressed as a percentage of inventory value, and , the purchase price per unit. Below the main formula, the slide also lists two auxiliary expressions: total carrying costs and total restocking costs .
The segment opens on a static green slide titled “How do we calculate EOQ?” The main formula shown is . Beneath it, the legend defines as the economic order quantity, as the fixed cost of placing and receiving an order, as annual sales in units, as carrying costs expressed as a percentage of inventory value, and as purchase price per unit.
The speaker clarifies the meaning of : it is not entered as an absolute cost, but as a ratio obtained by dividing carrying cost by inventory value. This matters because the denominator of the EOQ formula uses the percentage form of carrying cost together with the unit purchase price .
The lecture then shifts from definition to data preparation. The speaker notes that some inputs may not appear in the exact form required by the formula. In particular, if only weekly sales are given, annual sales can be obtained by multiplying weekly sales by 52 weeks. Likewise, if the carrying-cost percentage is not stated directly, it must first be calculated.
Still on the same slide, the presenter introduces two auxiliary formulas used in EOQ examples. The first is total carrying costs, written as . Here is described as the quantity in stock at a specific period, such as weekly or biweekly, and is carrying cost per unit.
The second auxiliary formula is total restocking costs: . The speaker identifies as the annual quantity in units and explains that dividing by the period quantity yields the number of orders. This connects the symbolic formula to the verbal idea of fixed cost per order multiplied by order frequency.
The slide changes to “Example 1,” introducing a word problem for Jersey Limited, a manufacturer of milk bottles. The visible data are: annual sales units, purchase price per unit , carrying cost equal to of purchase price, ordering cost per order, delivery time days, and desired safety stock units.
Within this clip, the example is only set up and read aloud; no substitution into the EOQ formula is performed and no numerical answer is shown. The mathematical content therefore ends at the stage of identifying the given quantities that correspond to the variables introduced earlier.
The clip opens on a worked business-mathematics example titled Example 1. The visible problem states that Jersey Limited manufactures milk bottles and provides five data items: annual sales of 500 000 units, purchase price of R3 per unit, carrying cost equal to 20% of the purchase price of goods, ordering cost of R100 per order, delivery time of four days, and desired safety stock of 4 000 units. The lecturer reads these facts aloud, emphasizing the safety stock as important for the broader question.
A Required box then appears below the problem. It asks for two outputs: first, calculate the economic order quantity (EOQ) for Jersey Limited; second, determine the reorder point assuming a 360-day year. In this segment, only the first task is actually solved. The reorder-point inputs remain on screen but are not used yet.
The lecturer shifts to method by recalling the EOQ formula shown at the bottom left: . The legend defines as the optimum order quantity per order, as the fixed cost of placing and receiving an order, as annual sales in units, as carrying cost expressed as a percentage of inventory value, and as purchase price per unit. This establishes the symbolic structure before any numbers are inserted.
The worked solution begins by matching each word-problem quantity to the formula symbols. The ordering cost R100 per order is assigned to , so the numerator starts as . The lecturer then identifies as annual demand in units and substitutes 500 000. While doing so, he adds a caution that if a question gives weekly sales, one must multiply by 52, and if it gives monthly sales, one must multiply by 12, because the formula requires annual units.
Next, the denominator is built. The carrying cost percentage 20% is entered as , and the purchase price per unit is . The lecturer explicitly treats as a percentage of inventory value rather than as a currency amount, and the screen shows the full substituted expression .
The expression is then evaluated numerically. The lecturer says to plug the formula into a calculator and reports . He immediately reminds the viewer that EOQ is measured in units, so the answer should be rounded to a whole number. The slide shows the rounded result as approximately units.
The final part of the clip interprets the result rather than introducing new algebra. The lecturer explains that 12 910 is the order quantity corresponding to the optimal inventory level. He begins to contrast this with holding more or less than that amount, saying that quantities above 12 910 raise holding cost, while quantities below it affect the other cost side; the sentence is cut off before the explanation is completed.
The segment begins with the tail end of the EOQ calculation. On screen, the general formula is still visible together with the worked substitution , and the result is shown as . The lecturer uses this to close part 2.1 and announce that part 2.2 asks for the reorder point under a 360-day year.
The lower EOQ boxes disappear, leaving the main problem statement and the Required section. A new yellow line appears: . The lecturer explains that safety stock is already given as 4 000 units, so the unknown piece is the reorder point itself.
A second yellow line is added: . The lecturer identifies the waiting time from the problem statement as 4 days, matching the sentence that four days are required for delivery.
To obtain daily average usage, the slide adds . The lecturer explicitly notes that the divisor follows the problem’s instruction to assume a 360-day year, and mentions that some questions may instead use 365. The decimal result is then rounded to the nearest whole unit, 1389.
With both factors now known, the final yellow line appears: . The lecturer states the conclusion directly: the reorder point for Jersey Limited is 5 556 units.
The video presents a static slide detailing an inventory management problem for Jersey Limited. The speaker begins by explaining the concept of re-order levels in units, emphasizing the need to include safety stock. The formula shown on the slide is Re-order levels in units = Safety stock + Re-order point.
The speaker then walks through the calculation of the daily average usage, which is derived by dividing the annual sales of 500,000 units by 360 days, resulting in approximately 1,389 units per day.
Next, the reorder point is calculated by multiplying the delivery time of 4 days by the daily average usage of 1,389 units, yielding a reorder point of 5,556 units.
Finally, the speaker calculates the total re-order levels in units by adding the desired safety stock of 4,000 units to the reorder point of 5,556 units, resulting in a total order quantity of 9,556 units.
The segment concludes with the speaker summarizing the process and encouraging viewers to ask questions or subscribe to the channel.
EOQ is introduced as an inventory-management model used to establish optimal inventory levels. The video defines it as the optimum order quantity a company should hold given production cost, demand rate, and other variables, with the purpose of minimizing variable inventory costs.
In the graph, the vertical axis is cost and the horizontal axis is order quantity. The holding-cost line rises with order quantity, the ordering-cost line falls, and EOQ is marked at their intersection. A U-shaped total-cost curve is drawn above them to show overall cost behavior.
The speaker explains that holding more inventory means ordering more at one time, and larger orders reduce ordering cost. Thus, as order quantity increases, holding cost goes up while ordering cost goes down, creating the tradeoff visualized in the graph.
The calculation slide gives the standard formula shown on screen: EOQ equals the square root of two times F times S divided by C times P. The speaker presents this as the direct way to compute EOQ in questions.
F is the fixed cost of placing and receiving an order. S is annual sales in units. C is carrying costs expressed as a percentage of inventory value. P is the purchase price per unit. The speaker particularly stresses that S must be annual.
Below the main EOQ formula, the slide adds two supporting expressions: total carrying costs equal average inventory times carrying costs per unit, written as Q x CC / 2, and total restocking costs equal fixed cost per order times number of orders, written as . These are shown visually but not verbally expanded in the clip.
The video defines the Economic Order Quantity as the optimum order quantity per order and displays the formula . The legend assigns to fixed ordering cost, to annual sales in units, to carrying cost as a percentage of inventory value, and to purchase price per unit.
The speaker stresses that must be expressed as a percentage of inventory value. To obtain it, divide carrying cost by inventory value. This distinguishes the rate from an absolute carrying-cost amount.
Before using the EOQ formula, the problem data may need conversion. If weekly sales are given instead of annual sales, multiply by 52 weeks to obtain in annual units.
An auxiliary formula on the same slide computes total carrying costs as average inventory times carrying cost per unit, written . The speaker explains as the quantity in stock at a specific period and as carrying cost per unit.
The slide also gives total restocking costs as fixed cost per order times number of orders, written . The speaker identifies as annual quantity in units and as the quantity at the relevant period, so represents the number of orders.
Example 1 presents Jersey Limited with annual sales of 500 000 units, purchase price R3 per unit, carrying cost 20% of purchase price, ordering cost R100 per order, delivery time 4 days, and safety stock 4 000 units. The clip ends before any solution is calculated.
The video presents the economic order quantity formula as , where is the fixed cost of placing and receiving an order, is annual sales in units, is carrying cost expressed as a percentage of inventory value, and is purchase price per unit. The on-screen legend also describes EOQ as the optimum order quantity per order.
For the worked example, the lecturer assigns the given values as , , , and . This produces the substituted expression .
The lecturer warns that the formula requires annual sales in units. If a problem gives weekly sales, multiply by 52; if it gives monthly sales, multiply by 12. In this example, annual sales are already given directly as 500 000 units.
In this example, the carrying cost is 20% of the purchase price of goods, so the lecturer substitutes and multiplies it by in the denominator. This distinguishes the percentage rate from a rand amount.
Evaluating the substituted expression gives . Because EOQ is measured in units, the lecturer rounds the answer to units.
The clip interprets units as the order quantity that gives the optimal inventory level. The lecturer begins to explain that holding more than this increases holding cost, while holding less moves away from the optimum on the other cost side, but the sentence is cut off before completion.
Although the Required section asks to determine the reorder point for Jersey Limited assuming a 360-day year, and the problem supplies delivery time of 4 days and safety stock of 4 000 units, this segment only solves the EOQ part. No reorder-point formula or calculation appears before the clip ends.
The video presents the economic order quantity as , where is the fixed cost per order, is annual demand in units, is the carrying-cost rate as a decimal, and is the purchase price per unit. For Jersey Limited, the slide substitutes , , , and , giving units.
The reorder level in units is defined on screen as . In this example, safety stock is already known to be 4 000 units, so the remaining task is to compute the reorder point.
The reorder point is calculated as . The waiting time is the delivery lead time, here 4 days, and the daily average usage must first be derived from annual demand.
Daily average usage is obtained by dividing annual demand by the assumed number of days in the year. The slide computes units per day, using the problem’s explicit 360-day-year assumption rather than 365 days.
After rounding daily usage to 1389 units, the video multiplies by the 4-day waiting time: units. This is the final numerical answer shown for part 2.2 in the clip.
Explore conditions, steps and evidence. Supplementary explanations are labeled separately from content shown in the video.
Title slide shows "Economic Order Quantity (EOQ)".
Formula slide defines "EOQ = the economic order quantity (optimum order quantity per order)".
Speaker introduces the lesson as "the economic order quantity or the EOQ" and later says EOQ is calculated by the displayed formula.
EOQ
economic order quantity; optimum order quantity per order used to manage inventory and minimize variable inventory costs
order quantity per order
Formula slide lists "F = fixed costs of placing and receiving an order".
Speaker says "F stands for the fixed costs of placing and receiving an order".
F
fixed costs of placing and receiving an order
cost per order
Formula slide lists "S = the annual sales in units".
Speaker says "S stands for the annual sales in units" and emphasizes using annual rather than weekly figures.
S
annual sales in units
units per year
Formula slide lists "C = the carrying costs expressed as a percentage of inventory value".
Speaker begins defining C as "the carrying costs expressed as a percentage" before the clip ends.
The spoken definition of C is cut off before completion, but the on-screen text fully states it.
C
carrying costs expressed as a percentage of inventory value
percentage of inventory value
Formula slide lists "P = the purchase price per unit".
The speaker does not reach P verbally within this clip.
P
purchase price per unit
price per unit
Auxiliary formulas show "Total carrying costs = Average inventory x carrying costs per unit = Q x CC / 2" and "Total restocking costs = Fixed cost per order x number of orders = ".
The slide does not explicitly define Q or T in the visible text.
Q
quantity variable appearing in auxiliary carrying-cost and restocking-cost formulas
not explicitly defined on screen
Auxiliary formula uses "CC" in "Q x CC / 2" under "Total carrying costs".
The slide does not explicitly define CC in the visible text.
CC
carrying costs per unit in the auxiliary total carrying cost formula
not explicitly defined on screen
Auxiliary formula uses "T" in "" under "Total restocking costs".
The slide does not explicitly define T in the visible text.
T
variable in the auxiliary total restocking cost formula
not explicitly defined on screen
Graph vertical axis is labeled "Costs" with "$".
$
monetary cost scale on the vertical axis of the EOQ graph
cost
Slide text defines EOQ = the economic order quantity (optimum order quantity per order).
Speaker refers to the EOQ formula and says this is how you go ahead with the EOQ formula.
EOQ
economic order quantity; optimum order quantity per order
order quantity in units
Slide text defines F = fixed costs of placing and receiving an order.
Speaker says F, which is the fixed cost per order.
F
fixed cost of placing and receiving one order
cost per order
Slide text defines S = the annual sales in units.
Speaker says annual sales in units may need to be calculated from weekly sales by multiplying by 52 weeks.
S
annual sales in units
units per year
Slide text: "It is a model commonly used to establish optimal inventory levels. It is used to manage inventory".
Slide text: "In other words, it is the optimum order quantity that a company should hold in its inventory given a set cost of production, demand rate and other variables. This is done to minimize variable inventory costs."
Speaker says EOQ is a model used to establish optimal inventory levels and manage inventory.
Speaker says EOQ is the optimum order quantity a company should hold given production cost, demand rate, and other variables, and that it is done to minimize variable inventory costs.
EOQ is presented as an inventory-management model whose purpose is to determine the optimum order quantity a company should hold so that variable inventory costs are minimized. The video frames EOQ as a tool for establishing optimal inventory levels rather than as a general accounting measure.
Used to manage inventory
Given a set cost of production, demand rate, and other variables
Aimed at minimizing variable inventory costs
Slide displays "EOQ = ".
Speaker reads the formula as the square root of two times F times S divided by C times P.
Slide defines EOQ, F, S, C, and P in the legend beneath the formula.
The clip gives the standard EOQ expression as the square root of twice the product of ordering cost and annual sales divided by the product of carrying-cost percentage and purchase price per unit. The speaker emphasizes that this formula is the practical way to compute EOQ in questions.
F is fixed cost of placing and receiving an order
S is annual sales in units
C is carrying cost expressed as a percentage of inventory value
P is purchase price per unit
Legend on slide: "EOQ = the economic order quantity (optimum order quantity per order)".
Legend on slide: "F = fixed costs of placing and receiving an order".
Legend on slide: "S = the annual sales in units".
Legend on slide: "C = the carrying costs expressed as a percentage of inventory value".
Legend on slide: "P = the purchase price per unit".
Speaker explains F, S, and begins explaining C while pointing around the formula legend.
The spoken explanation reaches only partway through C before the clip ends.
The formula slide assigns each symbol a specific inventory-cost role: EOQ is the optimum order quantity per order, F is the fixed cost of placing and receiving an order, S is annual sales in units, C is carrying cost as a percentage of inventory value, and P is purchase price per unit. The speaker especially stresses that S must be annual rather than weekly.
Symbols are used together in the EOQ formula
S must be measured on an annual basis
Slide text: "Two other formulae provide useful analyses:".
Slide text: "Total carrying costs = Average inventory x carrying costs per unit = Q x CC / 2".
Slide text: "Total restocking costs = Fixed cost per order x number of orders = ".
Q, CC, and T are shown without explicit definitions on the slide.
These auxiliary formulas are visible but not verbally explained within the clip.
Below the main EOQ formula, the slide adds two supporting expressions for analysis: total carrying costs equal average inventory times carrying cost per unit, written as Q x CC / 2, and total restocking costs equal fixed cost per order times number of orders, written as . These formulas connect the EOQ idea to separate cost components.
Presented as useful analyses alongside the EOQ formula
Variables Q, CC, and T are not explicitly defined on screen
Slide displays EOQ = sqrt(()/(C x P)).
Slide legend defines EOQ, F, S, C, and P.
Speaker explains C as a percentage of inventory value and P as purchase price per unit, then summarizes this as the EOQ formula.
The video presents the Economic Order Quantity as the optimum order quantity per order. The formula shown is EOQ = sqrt(()/(C x P)), where F is the fixed cost of placing and receiving an order, S is annual sales in units, C is carrying cost expressed as a percentage of inventory value, and P is purchase price per unit.
F is the fixed cost per order.
S is annual sales in units.
C is carrying cost as a percentage of inventory value.
P is purchase price per unit.
Slide legend states C = the carrying costs expressed as a percentage of inventory value.
Speaker says you take the carrying cost divided by the inventory value to get that percentage.
The variable C is not an absolute cost amount in the EOQ formula; it is the carrying cost rate expressed as a percentage of inventory value. The speaker describes obtaining it by dividing carrying cost by inventory value.
The result is used as a percentage in the EOQ denominator.
Inventory value must correspond to the same basis as the carrying cost.
Speaker says annual sales in units may not be given directly; weekly sales may be given and multiplied by 52 weeks to get annual sales.
Speaker also says the percentage may need to be calculated if not given.
Before applying the EOQ formula, some inputs may need conversion. If only weekly sales are given, the speaker says to multiply by 52 weeks to obtain annual sales. If the carrying-cost percentage is not given directly, it must be calculated first.
Use when the problem gives weekly sales instead of annual sales.
Use when C is not already expressed as a percentage of inventory value.
Slide displays Total carrying costs = Average inventory x carrying costs per unit = (Q x CC)/2.
Speaker says Q is the quantity in stock at a specific period, divide by two, then multiply by carrying costs per unit.
The video gives an auxiliary formula for total carrying costs. It is computed as average inventory multiplied by carrying costs per unit, written on the slide as (Q x CC)/2. The speaker interprets Q as the quantity held in stock during the relevant period.
Q is the quantity in stock at the specified period.
CC is carrying costs per unit.
The formula assumes average inventory is .
Slide displays Total restocking costs = Fixed cost per order x number of orders = (F x T)/Q.
Speaker says take F, multiply by the total annual quantity, then divide by the quantity at the given period.
The video gives an auxiliary formula for total restocking costs. It is computed as fixed cost per order multiplied by the number of orders, written on the slide as (F x T)/Q. The speaker identifies T as the annual quantity in units and Q as the quantity at the given period.
F is fixed cost per order.
T is annual quantity in units.
Q is the quantity at the specified ordering period.
represents the number of orders.
Bottom-left box displays EOQ = sqrt((2 x F x S)/(C x P)) with a legend defining each variable.
The lecturer says, 'let's remind ourselves of the formula' and reads it as square root of two times F times S divided by C times P.
The video presents the EOQ formula as the square root of the product of 2, the fixed ordering cost, and annual sales units, divided by the product of the carrying-cost percentage and the purchase price per unit. The on-screen legend explicitly defines EOQ as the optimum order quantity per order.
F is the fixed cost of placing and receiving an order
S is annual sales in units
C is carrying cost expressed as a percentage of inventory value
P is purchase price per unit
EOQ is measured in units
The lecturer says that if weekly sales are given, multiply by 52, and if monthly sales are given, multiply by 12.
The problem itself gives annual sales directly as 500 000 units.
Before substituting into the EOQ formula, demand must be expressed as annual sales in units. The lecturer explicitly notes that weekly sales should be multiplied by 52 and monthly sales by 12 when the problem does not already provide annual figures.
Use only when the given demand is not already annual
Weekly demand is converted by multiplying by 52
Monthly demand is converted by multiplying by 12
The lecturer says the EOQ is the actual unit that we need to have in stock to have the optimal inventory level.
He adds that anything over 12 910 raises holding cost, while anything less affects the other cost side.
The lecturer begins to explain the cost consequence of ordering less than EOQ, but the sentence is cut off before he completes the thought.
The video interprets the computed EOQ as the order size that gives the optimal inventory level. Quantities above this level increase holding cost, and quantities below it move away from the optimum on the other cost side.
Applies to the EOQ result after substitution and rounding
Describes the business meaning of the computed quantity
Slide text: "Notice how as the cost of holding goes up, the cost of ordering goes down. The EOQ is where they intersect."
Speaker says that when holding cost goes up, ordering cost goes down, and that EOQ lies where the two lines intersect.
Graph labels one rising line "Cost of Holding", one falling line "Cost of Ordering", and marks the intersection with a dashed vertical line labeled "EOQ".
In the graphical representation, EOQ is the order quantity at which the cost of holding and the cost of ordering intersect.
The graph is interpreted as showing holding cost increasing with order quantity and ordering cost decreasing with order quantity.
For the order quantity shown on the horizontal axis, the EOQ point is the intersection of the two plotted cost curves.
Slide text states that as holding cost goes up, ordering cost goes down.
Speaker explains that holding more inventory means ordering more, and the more inventory ordered, the less the cost of ordering becomes.
The graph shows an upward-sloping holding-cost line and a downward-sloping ordering-cost line.
As order quantity increases in the depicted model, holding cost rises while ordering cost falls.
Order quantity is the horizontal-axis variable in the graph.
The plotted lines represent holding cost and ordering cost respectively.
Across the displayed range of order quantity, the two cost trends are oppositely directed.
Speaker says it is important when calculating EOQ to bear in mind when you are using annual and when you are using weekly or whatever the case may be.
Speaker repeats that S stands for the annual sales in units.
Slide legend defines S as "the annual sales in units".
In the EOQ formula shown, S represents annual sales in units, so the time basis must be annual rather than weekly or another period.
The formula is being applied as written on the slide.
For use of the displayed EOQ formula, the S input is annual sales in units.
The lecturer says, 'remember the economic order quantity is in units. The answer will be in units.'
The economic order quantity calculated by the displayed formula is measured in units.
The variables are substituted according to the on-screen definitions
S is annual sales in units
P is price per unit
C is a percentage of inventory value
for the EOQ calculation shown in this example
Graph shows axes "Costs ($)" and "Order Qty", with a rising "Cost of Holding" line, a falling "Cost of Ordering" line, and a U-shaped "Total Cost" curve above them.
Speaker explains that holding more inventory means ordering more, and the more inventory ordered, the less the cost of ordering becomes.
Text says the EOQ is where holding cost and ordering cost intersect.
The video gives a qualitative graphical explanation only; no algebraic derivation is shown in this clip.
The graph uses order quantity on the horizontal axis and cost on the vertical axis.
Directly read from the axis labels "Order Qty" and "Costs ($)".
One plotted line rises with order quantity and is labeled "Cost of Holding".
Visible label and upward slope on the graph.
Another plotted line falls with order quantity and is labeled "Cost of Ordering".
Visible label and downward slope on the graph.
The speaker interprets the falling ordering-cost line as arising because larger orders mean fewer ordering events, reducing ordering cost.
Audio explanation: holding more inventory means ordering more, and the more inventory ordered, the less the cost of ordering becomes.
The intersection of the holding-cost and ordering-cost lines is marked by a dashed vertical line labeled "EOQ".
Visible graph annotation and matching slide text.
A U-shaped "Total Cost" curve is drawn above the two component lines, visually indicating that total cost is minimized near the same order quantity region.
Visible graph label "Total Cost" and curve shape; the video does not verbally derive the curve equation.
The clip explains EOQ intuitively as the order quantity where opposing holding and ordering cost trends balance, with total cost shown as a U-shaped curve above them.
Slide displays the EOQ formula and a symbol legend.
Speaker reads the formula and then identifies F, S, and begins identifying C.
No algebraic proof of the formula is provided in the clip.
The main formula is presented directly on the slide.
Visible formula text.
The numerator contains F as the ordering-related fixed cost.
Slide legend and speaker's verbal identification of F.
The numerator also contains S as annual demand measured in units.
Slide legend and speaker's emphasis on annual rather than weekly usage.
The denominator contains C as the carrying-cost percentage.
Slide legend; speaker begins this definition before the clip ends.
The denominator also contains P as unit purchase price.
Visible slide legend.
The formula combines ordering cost and annual demand in the numerator, and carrying-cost percentage times unit price in the denominator, under a square root.
Speaker explains how C is obtained as a percentage and how annual sales may be derived from weekly sales.
Slide legend defines C and S for use in the EOQ formula.
Convert carrying cost into the percentage form required by the EOQ formula.
The slide defines C as carrying costs expressed as a percentage of inventory value, and the speaker says to divide carrying cost by inventory value.
If only weekly sales are supplied, convert them to annual sales before substitution.
The speaker explicitly says weekly sales may need to be multiplied by 52 weeks to get annual sales.
Substitute the prepared values of F, S, C, and P into the displayed EOQ formula.
This is the formula shown on the slide after the variable definitions.
The EOQ calculation requires F, annual S, percentage C, and unit price P; if any of these are not directly given, they must first be converted or calculated.
The right-hand calculation box builds step by step from EOQ = sqrt(2 x ... ) to EOQ = sqrt((2 x 100 x 500 000)/(0.2 x 3)).
The lecturer substitutes , , , and , then states the calculator result 12 909.95 and rounds to 12 910.
Start from the general EOQ formula shown at the bottom left.
On-screen formula and spoken reminder of the formula.
Identify the fixed ordering cost from the problem statement.
The problem text says the ordering cost is R100 per order, and the lecturer maps this to F.
Identify annual sales in units from the problem statement.
The problem text says annual sales amount to 500 000 units, and the lecturer maps this to S.
Convert the carrying cost percentage into decimal form.
The problem states carrying cost is 20% of purchase price of goods; the lecturer substitutes 0.2 for C.
Identify the purchase price per unit.
The problem text states the purchasing price per unit is R3, and the lecturer maps this to P.
Substitute all identified values into the formula.
Direct substitution into the displayed EOQ formula.
Evaluate the expression numerically.
The lecturer says to plug it into a calculator and reports 12 909.95.
Round the numerical result to the nearest whole unit.
The lecturer says to round up to the nearest number and the screen shows approximately 12 910.
For Jersey Limited, the economic order quantity is approximately 12 910 units.
Using the same substituted expression from the video allows independent arithmetic verification.
Multiply the numerator and denominator separately.
Standard arithmetic simplification of the substituted formula.
Divide to obtain the value inside the square root.
Arithmetic evaluation.
Take the square root to recover EOQ.
Definition of the EOQ formula after substitution.
Round to the nearest whole unit.
Rounding convention stated by the lecturer.
The independently checked value agrees with the video's rounded EOQ of 12 910 units.
The worked expression on screen substitutes the given values into the EOQ formula: EOQ = sqrt((2 X 100 X 500 000)/(0,2 X 3)).
The right side of the slide shows 12 909,95 and then ≈ 12 910.
The lecturer says the optimal inventory level has just been calculated as 12 910.
The video substitutes , , , and into the EOQ formula.
Direct substitution using the values shown in the problem statement and formula legend.
The slide reports the evaluated EOQ as 12 909,95 and rounds it to 12 910.
Displayed numerical result and rounding on the slide.
The economic order quantity for Jersey Limited is approximately 12 910 units.
The slide first shows Re-order levels in units = Safety stock + Re-order point.
It then shows Reorder point = Waiting time X Daily average usage.
Next it shows Daily average usage = .
Finally it shows Reorder point = .
The lecturer walks through these steps verbally in the same order.
The lecturer starts from the definition of the reorder level and identifies safety stock as already known.
On-screen formula and spoken explanation.
Because the reorder point is not yet known, the video introduces the formula needed to compute it.
On-screen formula and spoken explanation.
Annual demand is converted to a daily figure using the stated 360-day year, then rounded to the nearest whole unit.
Problem statement plus displayed arithmetic.
The waiting time of 4 days is multiplied by the rounded daily usage of 1389 units.
Displayed substitution and multiplication.
The reorder point is 5 556 units.
Slide text shows 'Daily average usage = '.
Divide the annual sales amount by the number of days in a year (assuming a 360-day year).
To find the average daily usage.
Round the result to the nearest whole number.
Units are typically counted as whole numbers.
The daily average usage is 1,389 units.
Slide text shows 'Reorder point = '.
Multiply the delivery time (waiting time) by the daily average usage.
To find the inventory level at which a new order should be placed.
Calculate the product.
Arithmetic calculation.
The reorder point is 5,556 units.
Slide text shows 'Reorder levels in units = units'.
Add the safety stock to the reorder point.
To find the total quantity to order each time.
Calculate the sum.
Arithmetic calculation.
The re-order levels in units is 9,556 units.
Slide title changes to Example 1 and displays the problem statement for Jersey Limited.
Speaker reads the example setup: Jersey Limited is a manufacturer of milk bottles, annual sales 500,000 units, purchase price R3, carrying cost 20% of purchase price, ordering cost R100 per order, four days required for delivery.
The clip ends before the solution is worked out; no EOQ numerical answer is shown or spoken within this segment.
2.1 Jersey Limited is a manufacturer of milk bottles. The following information is obtained from their records: Annual sales amount to 500 000 units. The purchasing price per unit is R3. The carrying cost of inventory is equal to 20% of the purchase price of goods. The ordering cost is R100 per order. Four days are required for delivery. The desired safety stock for the firm is 4 000 units.
Annual sales = 500 000 units.
Purchase price per unit = R3.
Carrying cost of inventory = 20% of purchase price of goods.
Ordering cost = R100 per order.
Delivery time = 4 days.
Desired safety stock = 4 000 units.
Set up the data for an EOQ-related example; the explicit target question is not reached within this clip.
Record annual sales in units.
The slide states annual sales amount to 500 000 units.
Record purchase price per unit in rand.
The slide states the purchasing price per unit is R3.
Express the carrying cost as a decimal percentage of purchase price.
The slide states carrying cost is equal to 20% of the purchase price of goods.
Record fixed ordering cost per order.
The slide states the ordering cost is R100 per order.
Record the additional operational data shown on the slide.
These values appear in the example statement but are not used before the clip ends.
No final numerical answer is provided within this 150-second clip.
The extracted values match the visible Example 1 slide text exactly; the absence of a solution is confirmed by the clip ending immediately after the setup.
Slide title reads Example 1 and the problem text describes Jersey Limited, a manufacturer of milk bottles, with annual sales 500 000 units, purchase price R3, carrying cost 20%, ordering cost R100 per order, delivery 4 days, and safety stock 4 000 units.
Required section asks to calculate EOQ and determine the reorder point assuming a 360-day year.
The worked solution on the right computes EOQ = sqrt((2 x 100 x 500 000)/(0.2 x 3)) and shows 12 909.95, then approximately 12 910.
The second required item, the reorder point, is stated in the problem but not solved within this clip.
Jersey Limited is a manufacturer of milk bottles. Annual sales amount to 500 000 units. The purchasing price per unit is R3. The carrying cost of inventory is equal to 20% of the purchase price of goods. The ordering cost is R100 per order. Four days are required for delivery. The desired safety stock for the firm is 4 000 units. Required: calculate the economic order quantity (EOQ) for Jersey Limited.
Annual sales = 500 000 units
Purchase price per unit = R3
Carrying cost = 20% of purchase price of goods
Ordering cost = R100 per order
Delivery time = 4 days
Safety stock = 4 000 units
Assume a 360-day year for the reorder-point question
Compute the economic order quantity (EOQ) for Jersey Limited.
Write the EOQ formula from the slide.
Given formula in the bottom-left box.
Match each word-problem quantity to the corresponding symbol.
Definitions in the slide legend and the lecturer's spoken mapping.
Substitute the identified values into the formula.
Direct substitution.
Evaluate the expression numerically.
Calculator result stated by the lecturer and shown on screen.
Round to the nearest whole unit.
The lecturer says to round up to the nearest number because EOQ is in units.
EOQ units
Independent arithmetic gives sqrt() = 12909.9445..., which rounds to 12910, matching the video.
The slide states: Jersey Limited is a manufacturer of milk bottles. Annual sales amount to 500 000 units. The purchasing price per unit is R3. The carrying cost of inventory is equal to 20% of the purchase price of goods. The ordering cost is R100 per order. Four days are required for delivery. The desired safety stock for the firm is 4 000 units.
The Required section asks to calculate the EOQ and determine the re-order point, assuming a 360-day year.
The worked EOQ line and the later reorder-point lines are shown on the same slide.
For Jersey Limited, calculate the economic order quantity and then determine the reorder point using the given inventory data and a 360-day year.
Annual sales = 500 000 units
Purchase price per unit = R3
Carrying cost = 20% of purchase price
Ordering cost = R100 per order
Delivery waiting time = 4 days
Desired safety stock = 4 000 units
Assume a 360-day year
Compute EOQ and the reorder point in units.
Substitute the given ordering cost, annual demand, carrying-cost rate, and unit price into the EOQ formula.
Direct application of the displayed EOQ formula.
The slide evaluates the expression as 12 909,95 and rounds it to 12 910 units.
Displayed numerical result.
To answer part 2.2, the lecturer first writes the relationship between reorder level, safety stock, and reorder point.
On-screen formula.
Convert annual demand to daily demand using the stated 360-day year and round to the nearest whole unit.
Problem assumption plus displayed arithmetic.
Multiply the 4-day waiting time by the rounded daily usage to obtain the reorder point.
Displayed substitution into the reorder-point formula.
EOQ ≈ 12 910 units; Reorder point = 5 556 units.
The verification visible in the clip is the direct substitution of the stated data into the displayed formulas and the rounding shown on screen.
Slide presents the problem statement for Jersey Limited, including all given values and the required calculations.
Speaker walks through the calculations for the reorder point and re-order levels in units.
Jersey Limited is a manufacturer of milk bottles. Annual sales amount to 500,000 units. The purchasing price per unit is R3. The carrying cost of inventory is equal to 20% of the purchase price of goods. The ordering cost is R100 per order. Four days are required for delivery. The desired safety stock for the firm is 4,000 units. Determine the re-order point and re-order levels in units. Assume a 360-day year.
Annual sales = 500,000 units
Purchasing price per unit = R3
Carrying cost = 20% of purchase price
Ordering cost = R100 per order
Delivery time = 4 days
Safety stock = 4,000 units
Days in a year = 360
Determine the re-order point and re-order levels in units.
Calculate the daily average usage by dividing annual sales by the number of days in a year.
Definition of daily average usage.
Calculate the reorder point by multiplying the delivery time by the daily average usage.
Definition of reorder point.
Calculate the re-order levels in units by adding the safety stock to the reorder point.
Definition of re-order levels in units.
The re-order point is 5,556 units, and the re-order levels in units is 9,556 units.
The calculations follow the standard formulas for inventory management as presented in the video.
Opening green title slide reads "Economic Order Quantity (EOQ)".
Subsequent bullet slide adds the definition text about optimal inventory levels and minimizing variable inventory costs.
Speaker introduces the topic and reads/paraphrases the definition bullets.
Green background
Yellow title text "Economic Order Quantity (EOQ)"
White bullet text defining EOQ
The title remains while explanatory bullet text appears beneath it.
The second bullet expands the definition from inventory management to optimum order quantity and cost minimization.
The visual style stays as a static lecture slide with text only.
The topic remains the definition and purpose of EOQ.
This segment establishes EOQ verbally and textually as an inventory-management model aimed at minimizing variable inventory costs.
Graph with axes "Costs ($)" and "Order Qty" shows a rising line labeled "Cost of Holding", a falling line labeled "Cost of Ordering", and a U-shaped curve labeled "Total Cost".
A dashed vertical line drops from the intersection of the two straight lines to the x-axis label "EOQ".
Top text says: "Graphically the equation can be represented as follows. Notice how as the cost of holding goes up, the cost of ordering goes down. The EOQ is where they intersect."
Speaker points out the holding-cost line, the ordering-cost line, and the intersection where EOQ lies.
Small icons decorate the graph; their exact business meanings are not verbally explained.
Vertical cost axis labeled "Costs ($)"
Horizontal axis labeled "Order Qty"
Rising "Cost of Holding" line
Falling "Cost of Ordering" line
U-shaped "Total Cost" curve
Dashed vertical marker labeled "EOQ"
Decorative warehouse/truck/money icons
The speaker's attention moves from the rising holding-cost line to the falling ordering-cost line and then to their intersection.
The graph visually links increasing order quantity to opposite movements in the two component costs.
The axes remain fixed as cost versus order quantity.
The intersection point is consistently identified as EOQ.
The graph provides the central visual model: holding cost increases with order quantity, ordering cost decreases with order quantity, and EOQ is shown at their intersection with total cost drawn above.
Slide titled "How do we calculate EOQ?" shows the formula and legend.
Lower box shows two auxiliary formulas for total carrying costs and total restocking costs.
Speaker reads the formula and explains F, S, and the start of C.
The lower auxiliary formulas are not verbally unpacked in this clip.
Title "How do we calculate EOQ?"
Main formula box
Symbol legend
Lower box with auxiliary formulas
The presentation shifts from graphical intuition to symbolic calculation.
The speaker moves from reading the whole formula to defining individual symbols.
The main formula remains visible throughout the segment.
The auxiliary formulas stay in the lower box without spoken elaboration.
This slide converts the earlier graphical idea into a computational rule and adds supporting cost formulas for further analysis.
A green slide titled How do we calculate EOQ? shows the EOQ formula, a legend for EOQ, F, S, C, P, and two lower formulas for total carrying costs and total restocking costs.
A mouse cursor moves around the slide, pointing near the formula legend and later near the lower formulas.
Title: How do we calculate EOQ?
EOQ formula box
Variable legend for EOQ, F, S, C, P
Lower formula box for Total carrying costs
Lower formula box for Total restocking costs
Mouse cursor
Cursor moves from the upper formula area toward the lower auxiliary formulas.
Attention shifts from defining EOQ inputs to explaining total carrying and restocking costs.
The slide content remains static throughout this interval.
The displayed formulas do not change during the interval.
The visual layout separates the main EOQ formula from two supporting cost formulas used in inventory examples.
The slide changes to a green page titled Example 1 with a white text box containing the Jersey Limited problem statement.
No new writing appears; the example text remains on screen while the speaker reads it.
Title: Example 1
White problem statement box
Jersey Limited data lines
The presentation switches from the formula slide to the example slide.
The speaker begins reading the example setup.
The example text remains unchanged through the end of the clip.
No solution steps are displayed within this segment.
The transition marks the move from general formulas to a concrete inventory-management word problem.
The slide first shows the problem statement, then adds the Required box, then the EOQ formula legend at bottom left, then a right-side calculation box that fills in progressively, and finally the numeric results 12 909.95 and approximately 12 910.
green presentation background
Example 1 heading
problem text box
Required text box
EOQ formula legend box
right-side calculation box
numeric result boxes
At about 11 seconds, the Required section appears below the problem statement.
At about 28 seconds, the EOQ formula and variable legend appear at the bottom left.
From about 39 seconds onward, the right-side calculation box is built step by step with substituted values.
At about 114 seconds, the unrounded result 12 909.95 appears.
At about 120 seconds, the rounded result approximately 12 910 appears.
The original problem statement remains visible throughout the clip.
The formula legend remains visible once introduced.
The final slide keeps both the symbolic formula and the numerical substitution visible together.
The visual build mirrors the lecture sequence: identify the problem, recall the formula, map variables, substitute numbers, compute, and round the final EOQ.
The problem statement includes delivery time of four days, safety stock of 4 000 units, and the Required section includes determining the reorder point assuming a 360-day year.
No reorder-point formula or calculation appears anywhere in the clip.
delivery time line
safety stock line
Required item 2.2
These items remain on screen while the worked solution focuses only on EOQ.
No new formula for reorder point is introduced.
No numerical computation involving 4 days, 4 000 units, or 360 days is shown.
The slide sets up a two-part question, but the clip only completes part 2.1, leaving the reorder-point inputs unused within this segment.
At about 22 seconds the lower formula boxes and numeric results disappear, leaving only the main problem text and Required section.
Around 27 seconds a new yellow formula line appears at the bottom: Re-order levels in units = Safety stock + Re-order point.
Main problem text box
Required text box
Lower EOQ formula box
Lower worked EOQ calculation box
Right-side numeric result boxes
New yellow reorder-level formula
The EOQ formula and worked calculation are removed from view
The right-side numeric results 12 909,95 and ≈ 12 910 disappear
A new yellow formula for reorder levels appears at the bottom
The company name Jersey Limited remains visible
The given annual demand, price, carrying cost, ordering cost, delivery time, and safety stock remain on screen
The Required section remains visible
The visual transition marks the move from the completed EOQ calculation to the next subquestion, determining the reorder point.
Yellow text is added sequentially at the bottom of the slide: first Re-order levels in units = Safety stock + Re-order point, then Reorder point = Waiting time X Daily average usage, then Daily average usage = , then Reorder point = .
The lecturer explains each newly added line as it appears.
Yellow formula lines
White mouse cursor
Problem text above
One formula line is added at a time from top to bottom
The cursor points to the relevant given values and then to the newly written formulas
The final line computes
The underlying problem statement stays unchanged
The slide title Example 1 remains at the top
The Required section remains visible
The animation visually decomposes the reorder-point calculation into definitions and substitutions, showing how the final number is assembled from earlier givens.
The entire video displays a static slide with the problem statement, formulas, and step-by-step calculations for Jersey Limited's inventory management.
Text block with problem statement
Text block with formulas and calculations
The slide content remains unchanged throughout the video.
The visual presentation relies entirely on the static text to convey the mathematical problem and its solution steps.
Speaker warns: "it's also very important when you're calculating the EOQ to bear in mind when are you using annual and when are you using weekly or whatever the case may be."
Speaker repeats that S stands for annual sales in units.
Using weekly or another non-annual figure directly in place of S without adjusting the time basis.
The video explicitly states that S is annual sales in units, so the demand input must match the annual convention of the formula.
Slide legend states C = the carrying costs expressed as a percentage of inventory value.
Speaker emphasizes that C is obtained by dividing carrying cost by inventory value to get a percentage.
One might substitute a raw carrying-cost amount directly into the EOQ formula as C.
In the displayed EOQ formula, C must be the carrying cost expressed as a percentage of inventory value, not the absolute cost itself.
Speaker says annual sales in units may not be given directly and weekly sales may need to be multiplied by 52.
One might look only for a number labeled annual sales and miss that the problem gives weekly sales instead.
The speaker notes that S may have to be calculated from weekly data, for example by multiplying weekly sales by 52 weeks.
Speaker says Q is the quantity in stock at a specific period, which could be weekly or biweekly, and that the question determines the period.
One might treat Q as a universal annual quantity in the auxiliary formulas.
The speaker explains that Q is the quantity at the relevant period, such as weekly or biweekly, and must be read from the problem context.
The lecturer warns that some questions may give weekly or monthly sales instead of annual sales, and says to multiply weekly by 52 or monthly by 12.
A learner may substitute weekly or monthly sales directly into S without converting to annual units.
The video states that S must be annual sales in units, so weekly demand should be multiplied by 52 and monthly demand by 12 before substitution.
The lecturer says C is the carrying cost expressed as a percentage of inventory value and substitutes 20% or 0.2.
A learner may treat C as a rand amount rather than as a percentage of inventory value.
In this example C is the percentage rate, entered as 0.2, and it is multiplied by the purchase price per unit P in the denominator.
The lecturer explicitly reminds the viewer that the economic order quantity is in units and rounds the final answer accordingly.
A learner may interpret the EOQ result as a cost figure rather than an order quantity.
The video states that EOQ is measured in units, so the final answer should be rounded to a whole number of units.
The lecturer says, 'Remember that's why we're told to assume that the days per year is 360. You may be told 365, so that's what you'll plug in there.'
The displayed calculation uses 360 in the denominator: Daily average usage = .
One might automatically divide annual demand by 365 days even when the problem explicitly instructs a different convention.
The video stresses that the divisor must follow the stated assumption; here the problem says to assume a 360-day year, so 360 is used instead of 365.
The slide shows Daily average usage = .
The lecturer says the value is rounded up to the nearest number, 1389 units.
One might leave the daily usage as 1388.89 and carry the decimal forward, or fail to notice that the slide rounds it before the next step.
In this worked example, the daily average usage is rounded to 1389 units before being multiplied by the 4-day waiting time.
After defining EOQ, the speaker says, "So let's look at this graph here which explains a bit better where the EOQ lies."
The graph then visualizes holding cost, ordering cost, and their intersection labeled EOQ.
The abstract definition of EOQ as an optimum inventory-order quantity is applied through a graph that locates EOQ at the balance point between holding and ordering costs.
The graph slide states that the equation can be represented graphically and identifies EOQ at the intersection.
The next slide asks "How do we calculate EOQ?" and presents the symbolic formula.
The speaker transitions from the graph to the formula by asking how to calculate economic order quantity.
The clip presents the graphical intersection description and the algebraic formula as two representations of the same EOQ concept.
The lower box is introduced by the text "Two other formulae provide useful analyses:" beneath the main EOQ formula.
The video does not explicitly derive the auxiliary formulas from the main EOQ formula in this clip.
The formula slide groups the main EOQ expression together with two supporting cost-analysis formulas as part of the same calculation framework.
The EOQ formula contains C in the denominator.
The legend defines C as carrying costs expressed as a percentage of inventory value.
The percentage form of carrying cost must be known before it can be substituted into the EOQ formula.
The EOQ formula contains S.
Speaker says weekly sales may need to be converted to annual sales before using the formula.
Annual sales in units are required input for the EOQ formula, so conversion from weekly sales is a preparatory step.
The same slide presents the EOQ formula above and Total carrying costs below.
Speaker says these other formulas are commonly used whenever you have to calculate EOQ or do an example asking for total carrying costs.
The total carrying-cost formula is presented as a companion calculation used alongside EOQ problems.
The same slide presents the EOQ formula above and Total restocking costs below.
Speaker introduces these as two other formulas commonly used in EOQ examples.
The total restocking-cost formula is presented as another companion calculation used in EOQ-related examples.
Example 1 lists annual sales, purchase price, carrying cost percentage, and ordering cost.
Speaker reads these values immediately after explaining the EOQ formula variables.
The example supplies numerical values corresponding to the variables required by the EOQ formula.
The general formula box is reused in the right-side worked calculation.
The lecturer moves from reminding the formula to substituting the Jersey Limited values.
The worked example applies the general EOQ formula to the specific data for Jersey Limited.
The lecturer introduces the conversion rule while explaining what S means in the EOQ formula.
Correct use of the EOQ formula requires first expressing demand as annual units, which is what the conversion method ensures.
After obtaining 12 910, the lecturer explains its meaning as the optimal inventory level.
The interpretation explains the meaning of the numerical result produced by the derivation.
The general EOQ formula is shown first and then immediately substituted with the Jersey Limited numbers.
The EOQ formula is applied directly to the Jersey Limited data to produce the numerical order quantity.
Definition slide text explains EOQ as a model for optimal inventory levels.
Speaker asks "What is it?" and answers with the definition.
Graph marks EOQ at the intersection of holding and ordering cost lines.
Text says "The EOQ is where they intersect."
Main formula displayed on the slide.
Speaker reads the formula aloud.
Legend defines EOQ, F, S, C, and P.
Speaker explains F, S, and begins explaining C.
Speaker warns about using annual versus weekly figures.
S is defined as annual sales in units.
Lower box shows total carrying costs and total restocking costs formulas.
The clip does not explain these formulas verbally.
Slide displays the EOQ formula and variable legend.
Speaker explains carrying cost divided by inventory value gives the percentage.
Speaker says weekly sales may need to be multiplied by 52 to get annual sales.
Slide shows Total carrying costs = (Q x CC)/2.
Slide shows Total restocking costs = (F x T)/Q.
Example 1 slide lists the Jersey Limited data.
Covered · Title and definition slides introduce EOQ as an inventory-management model for minimizing variable inventory costs.
Covered · Graphical segment explains holding cost, ordering cost, their opposite movements, and EOQ at the intersection with total cost shown above.
Covered · Formula slide presents the EOQ expression, defines the symbols, warns that S is annual, and shows two auxiliary cost formulas.
Covered · The slide presents the EOQ formula and its variable legend while the speaker explains how C and S may need preparation before substitution.
Covered · The lower part of the same slide is explained: total carrying costs and total restocking costs, with verbal clarification of Q, CC, F, and T.
Covered · The presentation switches to Example 1 and reads the Jersey Limited setup; no solution is reached within the clip.
Covered · Problem statement for Jersey Limited is read and shown, including annual sales, price, carrying cost, ordering cost, delivery time, and safety stock.
Covered · Required section appears, asking for EOQ and reorder point with a 360-day year assumption; only EOQ is addressed later in the clip.
Covered · General EOQ formula and variable legend are introduced at the bottom left.
Covered · The lecturer maps each word-problem quantity to the formula symbols, warns about annualizing demand, and builds the substituted expression.
Covered · Numerical result 12 909.95 is shown and rounded to approximately 12 910 units.
Covered · The lecturer interprets 12 910 as the optimal inventory level and begins discussing the cost consequences of deviating from it.
Covered · The clip opens with the completed EOQ setup and numerical result for Jersey Limited.
Covered · The lower EOQ boxes disappear and the slide transitions to the reorder-point portion.
Covered · The reorder-level formula is introduced and the known safety stock is identified from the problem statement.
Covered · The reorder-point formula is added and the waiting time is identified as 4 days.
Covered · Daily average usage is computed from and rounded to 1389.
Covered · The final multiplication gives the reorder point as 5 556 units.
Covered · The entire video segment covers the explanation and calculation of the reorder point and re-order levels in units for a specific inventory management example.
Reviewed English material v1: card/concept_card "What EOQ is" starting at 0:00 — EOQ is introduced as an inventory-management model used to establish optimal inventory levels. The video defines it as the optimum order quantity a company should hold given production cost, demand rate, and other variables, with the purpose of minimizing variable inventory costs.
YouTube5:38Another explanation of Queueing and inventory models.
Queueing and inventory models
YouTube7:28Another explanation of Queueing and inventory models.
Queueing and inventory models
YouTube5:14Another explanation of Queueing and inventory models.
Queueing and inventory modelsYouTube5:38Visual explanation for Queueing and inventory models, compared with the current lecture.
Queueing and inventory models
YouTube3:33Application of Queueing and inventory models, complementing the current explanation.
Queueing and inventory models