Inventory Management Flashcards

1
Q

The value of the inventory…

Which answer is correct or rather applies best:

… is the greatest at the middle process stages.
… typically increases towards the end customer.
… does not change towards the end customer.
… typically decreases towards the end customer.

A

B

The value of the inventory typically increases towards the end customer as the products contain more and more labour and capital inputs.

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2
Q

Inventories play several important roles in the economy. They help to manage the interdependencies between different steps in the value creation process, both internally and externally. Management of dependencies is also called coordination in business administration.

Which of the following statements can be derived from the inventory functions?

A) Quantity discounts reduce the number of products stored in the value chain.

B) Decoupling of production steps leads to a lower work-in-progress inventory level.

C) Cyclical markets help to empty inventories, resulting in low average inventory levels.

D) The longer the value chain and overall lead times, the greater the levels of inventory in the value chain.

E) High uncertainties on the production and demand side lead to low inventory levels.

A

D

The longer the value chain and lead times, the greater the risk of fluctuations in demand. Therefore, a larger stock is needed to absorb this uncertainty.

Quantity discounts lead to fluctuations in demand, which also result in larger inventories.

Inventories enable decoupling of the production steps. To enable decoupling inventory is needed.

Cyclical markets are associated with large fluctuations in demand and uncertainties. To cope with this risk, high inventory levels are needed.

High uncertainties always call for high inventory levels in order to prevent out-of-stock situations.

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3
Q

The starting point is a stocklist of a production company. The stocklist can be found in the following Excel file: 2.1.d_ABC_Analysis_A_Excercise.xlsxPreview the document

What percentage of the total expenditure is covered by A-products (top 20% products in respect to expenditure)?

Percentage of total expenditure covered by A-products:

A

55%

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4
Q

Which two aspects are central components of the Economic Order Quantity model?

Which answer is correct or rather applies best:

A Purchase price and sales price
B Satisfied and unsatisfied demand
C Production costs and setup costs
D Holding costs and order costs

A

D

The economic order quantity model uses the holding costs and order costs to calculate the optimal order quantity. These two costs are the basis of the EOQ model, as explained in the video.

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5
Q

How does a high loss of value (e.g. due to rapid obsolescence or perishability) of products affect the optimum order quantity?

A) Not at all

B) A high loss of value increases inventory holding costs. As the holding costs increase, less inventory is held. The optimum order quantity decreases.

C) A high loss of value increases the order costs. As the orders become more expensive less orders are placed. The optimum order quantity increases.

A

B

High inventory costs encourage lower stock levels that go hand-in-hand with placing more orders with a lower quantity. A high loss of value has no direct relationship with order costs.

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6
Q

Every branch of the supermarket chain Billig receives an average of 10 truck deliveries every day. In addition to the driver, two store employees are required for unloading and checking the delivery.

The supermarket chain Really-Cheap has recently introduced a technology that makes it easier to check and unload deliveries. This means that deliveries can be unloaded and checked by the driver and only one additional store employee.

How does this difference affect the optimum order quantity from the point of view of the stores of both supermarket chains (Assumption: all other relevant costs are the same)?

A Billig orders more often than Really-Cheap.
B Billig orders less often than Really-Cheap.
C No effect

A

B

The costs incurred by unloading and checking the deliveries belong to the order costs. The higher unloading and inspection costs mean that Billig orders less often than Really-Cheap.

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7
Q

The insulin pump company IPC buys 350,000 pump motors per year. The purchase price for an engine is CHF 24.70, the inventory holding costs are CHF 9 per unit per year. The costs per order are CHF 1150.

Calculate the optimum order quantity for the pump motors and the average inventory level. (Note: Even if the number of orders in reality can only be integer, we go without rounding for simplicity and use the decimal numbers).

Average inventory level:

A

4729

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8
Q

What is the “reorder point”?

A) The inventory level which is reached after the next delivery

B) The point in time of the next order

C) The inventory level which triggers the next order

D) The point in time at which the inventory is restocked after the next order
.

A

C

See previous video. The reorder point is not a point on the time axis, but on the scale that indicates the filling level of the inventory (of a particular product)

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9
Q

Which factors determine the reorder point in a simple EOQ model? (Multiple answers possible)

  A The demand per unit of time 
  B The optimum order quantity 
  C The inventory holding costs 
  D The order costs 
  E The lead time
A

A;E

The reorder point in the EOQ model depends only on demand per time unit (e.g. per day) and the lead time. The ROP results from the product of “demand per unit of time” and the “lead time”. The costs and the optimal order quantity are irrelevant.

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10
Q

How is the lead time defined?

A Time elapsed from the placement of an order by the customer until the reception of the order by the supplier

B Time elapsed from the placement of an order by the customer until the reception of the goods in its inventory

C Time elapsed from the placement of an order by the customer until payment is received by the supplier

D Time elapsed from dispatch of the goods by the customer until reception by the supplier

E Time elapsed from the reception of an order by the supplier until the dispatch of the goods from its warehouse

A

B

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11
Q

What is the optimal reorder point with a lead time of LT = 0?
A ROP = average demand per time unite - inventory level
B ROP = optimum order quantity - 1
C ROP = 0
D ROP = optimum order quantity

A

C

If LT = 0, then there is no delay in delivery, i.e. the inventory restocks infinitely fast. This means that orders can be placed when the inventory is empty. All other answers are wrong.

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12
Q

Given a demand of 8 units per business day, an optimum order quantity of 625 units, order costs of CHF 122 per order, inventory holding costs of CHF 4.10 per unit and year and a lead time of 3 months with 22 business days each. What inventory level is the optimal reorder point?

Optimal reorder point:

A

528

22 business days per month x 3 months x 8 units per business day = 528 units

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13
Q

The company “MobileTech” has an annual demand of 2500 mobile phones. There are 250 business days per year. Until now, the lead time has been 5 business days. The supplier is building a new warehouse closer to the headquarters of “MobileTech”, shortening the lead time to 3 business days. By how many units does the Reorder point change?

Change in Reorder point:

A

20

=(52500/250)-(32500/250)

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14
Q

What is the main difference between the simple Economic Order Quantity (EOQ) Model and the Economic Production Quantity (EPQ) Model?

A The order costs are replaced by the setup costs of production

B The EPQ model assumes that the company will produce the goods itself.

C The order quantities equal the production rate of the previous step in the supply chain

D The holding costs now also include production costs

A

B

The EOQ focuses on ordering goods from suppliers. The EPQ focuses on producing its own supplies. Or to be more precise: The inventory no longer restocks infinitely fast when an order is received. Instead, inventory is received at a constant rate for a certain period of time. This is the main conceptual difference between the EOQ and the EPQ.

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15
Q

Evaluate the following statements on the Economic Production Quantity model.

Which answers are correct or rather apply best (multiple answers possible):

A The higher the production quantity, the higher are the annual holding costs (ceteris paribus).

B The smaller the production quantity, the higher are the annual holding costs (ceteris paribus).

C The higher the production quantity, the higher are the annual setup costs (ceteris paribus).

D The smaller the production quantity, the higher are the annual setup costs (ceteris paribus).

A

A;D

The smaller the production quantity, the more often it has to be produced. Since the setup costs are incurred with every production, this means that the annual setup costs are higher, when the production quantity is smaller. Inversely the larger the production quantity, the higher the average inventory. This leads to higher annual storage costs. Since these two relationships are correct, the other two answers are not correct.

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16
Q

Which statements regarding the Economic Production Quantity (EPQ) model are correct?

Which answers are correct or rather apply best (multiple answers possible):

A If the demand rate d is greater than the production rate p, it does not make sense to apply the EPQ model.

B If the production rate p equals the demand rated, this is referred to as just-in-time production.

C The inventory fills up with the slope demand rate d minus production rate p.

D If the production rate p is greater than the demand rate d, it does not make sense to apply the EPQ model.

A

A; B

All answers appear in the video Economic Production Quantity. If p is greater than d, then the production line rises more steeply than the demand rate falls. Only then does the EPQ model make sense. When p = d, one speaks of just-in-time production. Furthermore, the slope with which the inventory fills up is p-d.

17
Q

How does a low production rate compared to a high production rate affect the optimum production quantity per production batch?

A The production quantity does not change
B The production quantity decreases
C The production quantity increases

A

C

Low production rates lead to a slow build-up of inventory, which means that inventory holding costs are not as high. This leads to higher production quantities per production batch.

18
Q

The cleaning department of a hospital uses 500 cartons liquid cleaner per year. The order costs amount to 14 Euro per order, the inventory holding costs to 4 Euro per carton per year. The supplier’s pricelist offers the following quantity discounts:

Less than 50 cartons cost 25 Euro per carton.
With an order quantity of 50 to 79 cartons the price decreases to 22 Euro per carton.
With an order quantity of 80 to 99 cartons the price decreases to 20 Euro per carton.
With an order quantity greater than 99 cartons the price decreases to 18.5 Euro per carton.
Calculate the optimum order quantity (considering the discounts), the corresponding total costs incl. product costs and the cost savings compared to using the EOQ model.

Cost savings compared to the EOQ-Modell:

A

1717

19
Q

A South German mechanical engineering company needs 20 complex gearboxes per week (1 year = 50 weeks) from its key supplier from the Lake Constance. The order costs amount to 450 Euro, the inventory holding costs 950 Euro per year per unit. The lead time is 6 weeks.

Last year, the company found out that demand fluctuated considerably during lead time. Hence, they often had to delay delivery, which resulted in additional costs of 750 Euro per unit. The purchasing department has measured the demand during delivery time and found the following discrete distribution: in 6% of the cases demand during lead time was 100 units, in 29% 110 units, in 31% 120 units, in 26% 130 units and in 8% 140 units of gearboxes.

On this basis, determine the optimal reorder point including safety stock, the corresponding costs and the level of safety stock. Eventually, calculate the cost advantage of safety stock.

Cost advantage (difference expected additional cost) of optimal reorder point with safety stock over optimal reorder point without safety stock:

A

87331

20
Q

Which statements regarding the safety stock are correct? (Assumption: positive safety stock)

Which answers are correct or rather apply best (multiple answers possible):

A The safety stock secures the stock availability until the reorder point.

B The safety stock helps to secure the stock availability during the lead time.

C Since the costs of a stock-out are very high, the maximum possible demand is always taken into account in order to avoid a stock-out in any case.

D The introduction of a safety stock will move the reorder point upwards.

A

B;D

The safety stock helps to secure the availability of products during the lead time. The first phase of the inventory reduction is already covered by the reorder point. Furthermore, when a safety stock is introduced, the re-ordering point is moved upwards. (see video safety stock). Finally, it is not optimal to always take the maximum possible demand into account. It may be more profitable to accept a stock-out if an excess inventory is more costly, depending on the stock-out costs and the holding costs as well as the probability of different demands occurring

21
Q

You are in charge for the distribution of a swimwear manufacturer, and have to decide how many dark blue men’s bathing trunks in size Medium of the high-quality cut “Screambeach” you want to have produced for the next swimwear season. The season starts in about 12 months. You have the following information: The setup costs for production amount to 100’000 Euro and the production costs per bathing trunk amount to 85 Euro. Retailers buy swimming trunks for the season for 130 Euro per bathing trunk. After the season, retailers are only willing to pay 25 Euro per bathing trunk. Please note that you can only produce once for the whole season and there are no storage costs.

The following (discrete) distribution of demand can be drawn from the past and the estimation of sales staff: A demand for 10’000 units occurs with a probability of 5%, a demand for 12’000 with 15%, 14’000 with 20%, 16’000 with 31%, 18’000 with 20% and a demand for 20’000 units with a probability of 9%.

Please evaluate the following alternative production quantities: 10’000 units, 11’000 units, 12’000 units, 13’000 units, 14’000 units, 15’000 units, 16’000 units, 17’000 units, 18’000 units, 19’000 units, 20’000 units.

Profit-maximizing production quantity:

XXX1

You are talking to an importer for a country on the other side of the globe. He would be interested in taking over the surplus goods after the season for 80 Euro per bathing trunk. What would be the optimum production volume in this case?

Profit-maximizing production quantity II:

XXX2

In the last strategy meeting, the management team considered raising the price of the product to 195 Euro and adjusting the order quantity according to the highest expected profit. Assuming that everything else remains the same (ceteris paribus), how many percent would the profit from this product improve compared to the original scenario (Price: 130 Euro, Salvage Value: 25 Euro)?

Profit increase:

XXX3

A

1: 16’000
2: 18’000
3: 198%

22
Q

What does a critical ration of 0.2 imply?

Which answers are correct or rather apply best (multiple answers possible):

A The underage costs are equal to 1/5 of the overage costs.

B The underage costs make up 20% of the sum of underage and overage costs.

C The underage costs are equal to 1/4 of the overage costs.

D The underage costs make up 80% of the sum of underage and overage costs.

A

B;C

If you solve the equation 0.2 = UC / (UC+ OC) for UC, the ratio between UC and OC is 1: 4 or 1/4. The underage costs are 1/4 of the overage costs. Furthermore, the underage costs are 20% of the sum of underage and overage costs. This makes intuitively sense, since we know from the video, that a Critical Ration < 0.5 means that we should order carefully, because overage costs weight more than underage costs.

The solution to this problem results from the following calculation:

UC / (UC + OC) = 0.2

UC = 0.2 UC + 0.2 OC

0.8 UC = 0.2 OC

4 UC = 1 OC

23
Q

What does a critical ratio of 0.5 mean?

A The overage costs are 2 times higher than the underage costs

B Underage and overage costs are equal

C Underage and overage costs are both exactly 5

A

B

If UC = OC, UC / (UC + OC) can be simplified to OC / (OC + OC) = OC / 2 OC = 1 /2 = 0.5

24
Q

If the mean of a normally distributed demand is 2000 units and the critical ratio is 0.6, then the optimum order quantity is …

A over 2000

B below 2000

C at 2000

A

A

With a critical ratio over 0.5, the overstock cost have a lower weight than the out-of-stock cost. Therefore, the order quantity is larger than the average value.

25
Q

What should a company do when the critical ratio of a product that it produces diminishes?

A Keep the same supplier

B Decrease inventory

C Increase inventory

A

B

Stockout costs decrease with a decreasing critical ratio. As storage costs become relatively higher compared to stockout costs, a company should store less.

26
Q

The standard deviation is an important key figure that is used, among other things, in the analysis of demand distributions. Evaluate the following statements about the standard deviation: Which answers are correct or rather apply best? (Multiple answers possible)

A The standard deviation always amounts to 68% of the average

B If average demand increases, the standard deviation always increases as well unanswered

C The standard deviation always equals the square root of the variance

D The standard deviation is always expressed as a percentage

E The standard deviation always has the same unit of measurement as the variable which is examined

A

C;E

The standard deviation is the square root of its variance. It is expressed in the same units as the parent data, whereas the variance is expressed in squared units. The standard deviation measures the spread of a data distribution. The more spread out a data distribution is, the greater its standard deviation. With normal distributions, the 68-95-99.7 rule applies, saying that about 68% of values fall within one standard deviation either side of the mean. However, it does not make a statement about the relation between standard deviation and average.

27
Q

The company “Hindsdale” produces special LED luminaires for the manufacturing industry. The average demand during lead time is 500 units and follows a normal distribution with a standard deviation of 20 units. “Hindsdale” sets the goal to fulfill 98% of orders on time. Inventory holding costs are CHF 8 per unit and year.

On the basis of the above-mentioned information, determine the optimum safety stock and inventory holding costs for the corresponding safety stock. Then compare the result with a scenario for maintaining a service level of 99.9%: What is the percentage increase in the inventory holding costs for the safety stock compared to the initial situation with a service level of 98%?

Optimum safety stock:

Inventory holding costs of the safety stock:

Increase in inventory holding costs for a service level of 99.9%:

A

Answer 1:
41.1

Answer 2:
328.6

Answer 3:
50%

28
Q

You are asked to prepare the inventory management for a spare parts dealer for technical equipment. As a starting point you receive the following Excel file: 2.6.c_Target_Inventory_Level_A_Excercise.xlsxPreview the document

In a first step, calculate the optimum target inventory level taking the lead time into account - please use the “round” formula in Excel with num_digits = 0 to base the simulation on a whole number. In a second step, simulate the development of the types of inventories for the next 20 weeks. Assume an empty pipeline and a physical inventory at the beginning of week 1 that is equal to the optimal target inventory level. Proceed as shown in the previous videos.

Optimum target inventory level:

Level of the physical inventory at the end of week 6:

Level of the entire inventory (physical + pipeline) in week 17:

A
Answer 1:
298 
Answer 2:
22 
Answer 3:
248