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Quantity Discount and Inventory Management Worksheet

Total questions: 30

Worksheet time: 20mins

Name
Class
Date
1.

Why do suppliers typically offer quantity discounts?

a)

To reduce the inventory holding cost for buyers

b)

To achieve economies of scale in shipping and packaging

c)

To comply with regulations

d)

To decrease demand

2.

Which of the following is not part of total inventory cost in the Quantity Discount model?

a)

Ordering cost

b)

Holding cost

c)

Purchase cost

d)

Advertising cost

3.

If a buyer orders 50 units, what is the purchase cost?

a)

$900

b)

$1,000

c)

$1,800

d)

$2,000

4.

In the Quantity Discount model, why must we sometimes check a higher price range even if a lower price exists?

a)

Higher prices always give higher demand.

b)

Lower price might require larger quantities that increase holding cost.

c)

Higher prices reduce ordering costs.

d)

EOQ formula does not apply at lower prices.

5.

A retail shop faces an annual demand of 2,400 units. The ordering cost is 50perorder,andtheannualholdingcostis50 per order, and the annual holding cost is 5 per unit. The shop is considering how often to order stock if no discounts are offered. What is the Economic Order Quantity (EOQ)?

a)

60 units

b)

100 units

c)

140 units

d)

160 units

6.

A supplier offers the following price schedule for an electronic component: • 1–99 units: 50perunit•100–199units:50 per unit • 100–199 units: 48 per unit • 200+ units: $45 per unit The buyer calculates an EOQ of 90 units (based on demand, ordering, and holding costs). Which price range is feasible for the EOQ of 90?

a)

$50 per unit

b)

$48 per unit

c)

$45 per unit

d)

None of the above

7.

A company requires 12,000 units annually. The ordering cost is 100perorder,andtheannualholdingcostis20100 per order, and the annual holding cost is 20% of the unit price. The supplier offers: • 1–499 units: 10 per unit • 500–999 units: 9.50perunit•1,000+units:9.50 per unit • 1,000+ units: 9 per unit. At the $9.50 price level, what is the annual holding cost per unit?

a)

$1.50

b)

$1.90

c)

$2.00

d)

$9.50

8.

A company faces an annual demand of 6,000 units. The ordering cost is 40perorder,andtheholdingcostis40 per order, and the holding cost is 2 per unit per year. What is the EOQ under these conditions?

a)

200 units

b)

300 units

c)

400 units

d)

600 units

9.

A company faces an annual demand of 6,000 units. The ordering cost is 40perorder,andtheholdingcostis40 per order, and the holding cost is 2 per unit per year. The supplier offers the following discount schedule: • 1–299 units: 10perunit•300+units:10 per unit • 300+ units: 9.80 per unit. The company must decide whether to order at the EOQ or take advantage of the discount. Which option yields the lowest total annual cost?

a)

Order 200 units at $10

b)

Order 300 units at $9.80

c)

Order 400 units at $9.80

d)

Both A and B have the same cost

10.

A wholesaler requires 24,000 units per year. Ordering cost is 120perorder,andtheannualholdingcostis25120 per order, and the annual holding cost is 25% of the unit price. The supplier’s price schedule is: • 1–999 units: 20 per unit • 1,000–1,999 units: 19perunit•2,000+units:19 per unit • 2,000+ units: 18 per unit The wholesaler calculates the EOQ at the $19 price level as 1,200 units. Is this EOQ feasible, and what should the company do next?

a)

Not feasible; check the $20 price level

b)

Feasible; calculate total cost at 1,200 units

c)

Not feasible; directly check the $18 price level

d)

Automatically choose the lowest unit price ($18)

11.

In a basic EOQ model with constant demand and constant lead time, the reorder point (R) is:

a)

Equal to the EOQ

b)

Equal to demand rate multiplied by lead time

12.

If daily demand is 32 units, lead time is 7 days, what is the reorder point (without safety stock)?

a)

32 units

b)

224 units

c)

39 units

d)

256 units

13.

The main purpose of safety stock is to:

a)

Reduce EOQ

b)

Eliminate demand variability

c)

Protect against stockouts when demand or lead time is uncertain

d)

Increase carrying cost

14.

A service level of 90% means:

a)

Probability of stockout is 90%

b)

Probability of meeting demand during lead time is 90%

c)

Probability of demand exceeding supply is 0.9

d)

Inventory costs are reduced by 90%

15.

A store has an average daily demand of 50 units. The lead time is 6 days. What is the reorder point for this store (without safety stock)?

a)

50 units

b)

300 units

c)

56 units

d)

250 units

16.

If daily demand is normally distributed with mean 30 and standard deviation 5, and lead time is 10 days, what is the expected demand during lead time (without safety stock)?

a)

30

b)

50

c)

300

d)

326

17.

A company has an average daily demand of 40 units, with a standard deviation of 8 units. The lead time is 9 days. If the company wants a service level of 97.5% (z = 1.96), what is the required safety stock?

a)

10 units

b)

47 units

c)

72 units

d)

90 units

18.

Which formula correctly represents the reorder point when demand is variable?

a)

R=EOQ+Safety Stock

b)

R=dL

c)

R=dL+zσd√L

d)

R=zσdR

19.

Reorder point mainly depends on:

a)

Average daily demand

b)

Average monthly sales only

c)

Employee working hours

d)

Supplier discounts

20.

Which of the following statements is FALSE?

a)

Reorder point depends on EOQ

b)

Safety stock is a hedge against uncertainty

c)

Service level reflects probability of meeting demand during lead time

d)

Reorder point without uncertainty = demand during lead time

21.

In a periodic review system, orders are placed:

a)

Continuously

b)

At fixed intervals

c)

When stockouts occur

d)

Randomly

22.

If review period = 1 month, demand per month = 200 units, target level = 500, and current stock = 100, order quantity = ?

a)

200

b)

300

c)

400

d)

500

23.

If demand is uncertain, companies in periodic systems add:

a)

Extra employees

b)

Safety stock

c)

Higher prices

d)

Marketing costs

24.

In a periodic review system, orders are triggered by:

a)

Reorder point

b)

Time interval

c)

Safety stock only

d)

Random demand

25.

A company reviews its inventory every 2 months. Average demand per month = 150 units. Lead time = 1 month. Safety stock = 100 units. Current inventory = 200 units. What should be the order quantity if the target level is set to cover demand during review period + lead time + safety stock?

a)

250

b)

300

c)

350

d)

400

26.

In the formula T=(d×R)+(d×L)+SST, what does d represent?

a)

Safety stock

b)

Average demand per unit time

c)

Lead time in days

27.

In the formula T=(d×R)+(d×L)+SS what does L represent?

a)

Lead time (time between order and delivery)

b)

Review period

c)

Daily demand

d)

Lot size

28.

If safety stock (SS) increases, the order quantity (Q) will:

a)

Decrease

b)

Increase

c)

Stay constant

d)

Equal EOQ

29.

Which of the following statements is correct?

a)

Order Quantity in periodic system is always equal to EOQ

b)

Target level must cover review period demand and lead time demand

c)

Reorder point and periodic review use the same formula

d)

Safety stock is not included in target level

30.

In an inventory system, “order receipt” refers to:

a)

The moment when an order is placed

b)

The moment when goods arrive at the warehouse

c)

The time of calculating safety stock

d)

The approval of purchase orders