In the basic eoq model, if d = 60 per month, s = $12, and h = $10 per unit per month, eoq is

Calculating Economic Order Quantity

The following formula is used to calculate the EOQ:

Economic Order Quantity:
(2 x S x D)/H

Annual Demand (D)

The Annual demand is the number of units that you sell annually. If actual units are not available, then you can use expected sales figure based on your sales trend.

Order cost (S)

This refers to the costs that are involved with an order but cannot be directly associated with the purchase cost.

Holding cost (H)

This refers to all the costs that are involved in storing or handling the items in your store or warehouse. Usually, holding costs are fixed in nature.

What are the components of Economic Order Quantity?

Annual Demand Calculation (D)

The Annual demand is the number of units that you sell annually. If actual units are not available, then you can use expected sales figure based on your sales trend.

The following table will give you a better idea about what the other factors are that can have an impact on demand and your business operations:

Market conditions

  • Change in customer taste
  • Competition
  • Shift in industry standards

Economic conditions

  • Change in tax rate
  • Trade regulations, domestic and international
  • Monetary policy

Order Cost Calculation (S)

This refers to the costs that are involved with an order but cannot be directly associated with the purchase cost.

  • Transport charges and custom duties incurred during the movement of the items
  • Clerical charges paid to an outsourced agency for recording transaction
  • Salary paid to the quality check team before the items enter your warehouse
  • Amount spent in setting up a machine or equipments

Holding cost calculation (H)

This refers to all the costs that are involved in storing or handling the items in your store or warehouse. Usually, holding costs are fixed in nature.

  • Monthly rent for the shop or warehouse that you use to store items
  • Employees salary and warehouse labor wages
  • Electricity and insurance cost

Assumptions while calculating EOQ

The EOQ is a great metric for any business dealing with the buying and selling of goods. However, it's important to remember the assumptions that the EOQ formula is based on:

The bottom line

Economic Order Quantity may not consider all the factors that affect each business, but it is still a powerful tool to help an entrepreneur or manager to make more calculated decisions. What makes the EOQ a compelling tool is that it is dynamic and can be revisited from time to time as your business grows. If there's a change in any of your inventory costs, you can always tweak the formula and generate a new EOQ to suit the current conditions.

Calculating the EOQ for your business helps you find a good balance for your order and inventory costs, which are easy to overlook in day-to-day business. The EOQ formula shouldn't be taken as gospel, but it's a useful tool for informed, effective inventory control.

60. Which of the following is not one of the assumptions of the basic EOQ model?
a. Annual demand requirements are known and constant.
b. Lead time does not vary.
c. Each order is received in a single delivery.
d. Quantity discounts are available.
e. All of the above are necessary assumptions.

d. Quantity discounts are available.

61. Which of the following interactions with vendors would potentially lead to inventory reductions?
a. reduce lead times
b. increase safety stock
c. less frequent purchases
d. larger batch quantities
e. longer order intervals

62. A non-linear cost related to order size is the cost of:
a. interest
b. insurance
c. taxes
d. receiving
e. space

63. In a two-bin inventory system, the amount contained in the second bin is equal to the:
a. ROP
b. EOQ
c. amount in the first bin
d. optimum stocking level
e. safety stock

64. When carrying costs are stated as a percentage of unit price, the minimum points on the total cost curves:
a. Line up
b. Equal zero
c. Do not line up
d. Cannot be calculated
e. Depend on the percentage assigned

65. Dairy items, fresh fruit and newspapers are items that:
a. do not require safety stocks
b. cannot be ordered in large quantities
c. are subject to deterioration and spoilage
d. require that prices be lowered every two days
e. have minimal holding costs

c. are subject to deterioration and spoilage

66. Which of the following is least likely to be included in order costs?
a. processing vendor invoices for payment
b. moving delivered goods to temporary storage
c. inspecting incoming goods for quantity
d. taking an inventory to determine how much is needed
e. temporary storage of delivered goods

e. temporary storage of delivered goods

67. In an A-B-C system, the typical percentage of the number of items in inventory for A items is about:
a. 10
b. 30
c. 50
d. 70
e. 90

68. In the A-B-C classification system, items which account for fifteen percent of the total dollar-volume for a majority of the inventory items would be classified as:
a. A items
b. B items
c. C items
d. A items plus B items
e. B items plus C items

69. In the A-B-C classification system, items which account for sixty percent of the total dollar-volume for few inventory items would be classified as:
a. A items
b. B items
c. C items
d. A items plus B items
e. B items plus C items

70. The purpose of "cycle counting" is to:
a. count all the items in inventory
b. count bicycles and motorcycles in inventory
c. reduce discrepancies between inventory records and actual
d. reduce theft
e. count 10% of the items each month

c. reduce discrepancies between inventory records and actual

71. The EOQ model is most relevant for which one of the following?
a. ordering items with dependent demand
b. determination of safety stock
c. ordering perishable items
d. determining fixed interval order quantities
e. determining fixed order quantities

e. determining fixed order quantities

72. Which is not a true assumption in the EOQ model?
a. Production rate is constant
b. Lead time doesn't vary
c. No more than 3 items are involved
d. Usage rate is constant
e. No quantity discounts

c. No more than 3 items are involved

73. In a supermarket, a vendor's restocking the shelves every Monday morning is an example of:
a. safety stock replenishment
b. economic order quantities
c. reorder points
d. fixed order interval
e. blanket ordering

74. A cycle count program will usually require that ‘A' items be counted:
a. daily.
b. once a week.
c. monthly.
d. quarterly.
e. more frequently than annually.

e. more frequently than annually.

75. A risk avoider would want ______ safety stock.
a. Less
b. More
c. The same
d. Zero
e. 50%

76. In the basic EOQ model, if annual demand doubles, the effect on the EOQ is:
a. It doubles.
b. It is four times its previous amount.
c. It is half its previous amount.
d. It is about 70 percent of its previous amount.
e. It increases by about 40 percent.

e. It increases by about 40 percent.

77. In the basic EOQ model, if lead time increases from five to 10 days, the EOQ will:
a. double
b. increase, but not double
c. decrease by a factor of two
d. remain the same
e. none of the above

78. In the basic EOQ model, an annual demand of 40 units, an ordering cost of $5, and a holding cost of $1 per unit per year will result in an EOQ of:
a. 20
b. square root of 200
c. 200
d. 400
e. none of these

79. In the basic EOQ model, if D = 60 per month, S = $12, and H = $10 per unit per month, EOQ is:
a. 10
b. 12
c. 24
d. 72
e. 144

80. In the basic EOQ model, if annual demand is 50, carrying cost is $2, and ordering cost is $15, EOQ is approximately:
a. 11
b. 20
c. 24
d. 28
e. 375

81. Which of the following is not true for Economic Production Quantity model?
a. Usage rate is constant.
b. Production rate exceeds usage rate.
c. Run size exceeds maximum inventory.
d. There are no ordering or setup costs.
e. Average inventory is one-half maximum inventory.

d. There are no ordering or setup costs.

82. Given the same demand, setup/ordering costs, and carrying costs, the EOQ calculated using incremental replenishment will be ____________ if instantaneous replenishment was assumed:
a. greater than the EOQ
b. equal to the EOQ
c. smaller than the EOQ
d. greater than or equal to the EOQ
e. smaller than or equal to the EOQ

83. The introduction of quantity discounts will cause the optimum order quantity to be:
a. smaller
b. unchanged
c. greater
d. smaller or unchanged
e. unchanged or greater

84. A fill rate is the percentage of _____ filled by stock on hand.
a. Shipments
b. Demand
c. Inventory
d. Safety stock
e. Lead time

85. In the quantity discount model, with carrying cost stated as a percentage of unit purchase price, in order for the EOQ of the lowest curve to be optimum, it must:
a. have the lowest total cost
b. be in a feasible range
c. be to the left of the price break quantity for that price
d. have the largest quantity compared to other EOQ's
e. none of the above

b. be in a feasible range

86. Which one of the following is not generally a determinant of the reorder point?
a. rate of demand
b. length of lead time
c. lead time variability
d. stockout risk
e. purchase cost

87. If no variations in demand or lead time exist, the ROP will equal:
a. the EOQ
b. expected usage during lead time
c. safety stock
d. the service level
e. the EOQ plus safety stock

b. expected usage during lead time

88. If average demand for an inventory item is 200 units per day, lead time is three days, and safety stock is 100 units, the reorder point is:
a. 100 units
b. 200 units
c. 300 units
d. 600 units
e. 700 units

89. Which one of the following is implied by a "lead time" service level of 95 percent?
a. Approximately 95 percent of demand during lead time will be satisfied.
b. Approximately 95 percent of inventory will be used during lead time.
c. The probability is 95 percent that demand during lead time will exactly equal the amount on hand at the beginning of lead time.
d. The probability is 95 percent that demand during lead time will not exceed the amount on hand at the beginning of lead time.
e. none of the above

d. The probability is 95 percent that demand during lead time will not exceed the amount on hand at the beginning of lead time.

90. Which one of the following is implied by an "annual" service level of 95 percent?
a. Approximately 95 percent of demand during lead time will be satisfied.
b. The probability is 95 percent that demand will exceed supply during lead time.
c. The probability is 95 percent that demand will equal supply during lead time.
d. The probability is 95 percent that demand will not exceed supply during lead time.
e. None of the above.

91. Daily usage is exactly 60 gallons per day. Lead time is normally distributed with a mean of 10 days and a standard deviation of 2 days. What is the standard deviation of demand during lead time?
a. 60 x 2
b. 60 times the square root of 2
c. 60 times the square root of 10
d. 60 x 10
e. none of the above

a. 60 x 2

The standard deviation of demand during lead time is the square root of squared demand times the squared standard deviation of lead time.

92. Lead time is exactly 20 days long. Daily demand is normally distributed with a mean of 10 gallons per day and a standard deviation of 2 gallons. What is the standard deviation of demand during lead time?
a. 20 x 2
b. 20 x 10
c. 2 times the square root of 20
d. 2 times the square root of 10
e. none of the above

c. 2 times the square root of 20

The standard deviation of demand during lead time equals the daily standard deviation of demand times the square root of the lead time.

93. All of the following are possible reasons for using the fixed order interval model except:
a. Supplier policy encourages use.
b. Grouping orders can save in shipping costs.
c. The required safety stock is lower than with an EOQ/ROP model.
d. It is suited to periodic checks of inventory levels rather than continuous monitoring.
e. Continuous monitoring is not practical.

c. The required safety stock is lower than with an EOQ/ROP model.

94. Which of these products would be most apt to involve the use of a single-period model?
a. gold coins
b. hammers
c. fresh fish
d. calculators
e. frozen corn

95. In a single-period model, if shortage and excess costs are equal, then the optimum service level is:
a. 0
b. .33
c. .50
d. .67
e. none of these

c. .50

The ratio of shortage cost to shortage plus excess cost is 0.5.

96. In a single-period model, if shortage cost is four times excess cost, then the optimum service level is ___ percent.
a. 100
b. 80
c. 60
d. 40
e. 20

b. 80

The ratio of shortage cost to shortage plus excess cost is 0.8.

97. In the single-period model, if excess cost is double shortage cost, the approximate stockout risk, assuming an optimum service level, is ___ percent.
a. 100
b. 67
c. 50
d. 33
e. 5

b. 67

The ratio of shortage cost to shortage plus excess cost is 0.67.

98. If, in a single-period inventory situation, the probabilities of demand being 1, 2, 3, or 4 units are .3, .3, .2, and .2, respectively. If two units are stocked, what is the probability of selling both of them?
a. .5
b. .6
c. .7
d. .8
e. none of these

99. The management of supply chain inventories focuses on:
a. internal inventories
b. external inventories
c. both internal and external inventories
d. safety stock elimination
e. optimizing reorder points

c. both internal and external inventories

100. An operations strategy for inventory management should work towards:
a. increasing lot sizes
b. decreasing lot sizes
c. increasing safety stocks
d. decreasing service levels
e. increasing order quantities

101. Cycle stock inventory is intended to deal with ________.
a. excess costs
b. shortage costs
c. stockouts
d. expected demand
e. quantity discounts

102. An operations strategy which recognizes high carrying costs and reduces ordering costs will result in:
a. unchanged order quantities
b. slightly decreased order quantities
c. greatly decreased order quantities
d. slightly increased order quantities
e. greatly increased order quantities

c. greatly decreased order quantities

103. The need for safety stocks can be reduced by an operations strategy which:
a. increases lead time
b. increases lead time variability
c. increases lot sizes
d. decreases ordering costs
e. decreases lead time variability

e. decreases lead time variability

104. If average demand for an item is 20 units per day, safety stock is 50 units, and lead time is four days, the ROP will be:
a. 20
b. 50
c. 70
d. 80
e. 130

e. 130

Multiply the demand rate by the lead time and add the safety stock.

105. With an A-B-C system, an item that had a high demand but a low annual dollar volume would probably be classified as:
a. A
b. B
c. C
d. none of these

106. The fixed order interval model would be most likely to be used for this situation:
a. A company has switched from mass production to lean production.
b. Production is done in batches.
c. Spare parts are ordered when a new machine is purchased.
d. Grouping orders can save shipping costs.
e. none of these

d. Grouping orders can save shipping costs.

107. Which item would be least likely to be ordered under a fixed order interval system?
a. textbooks at a college bookstore
b. auto parts at an assembly plant
c. cards at a gift shop
d. canned peas at a supermarket
e. none of these

b. auto parts at an assembly plant

108. Which one of these would not be a factor in determining the reorder point?
a. the EOQ
b. the lead time
c. the variability of demand
d. the demand or usage rate
e. all are factors