Question: Table 1 SKU Mean demand (units/month) Std. Deviation (units/month) Unit cost ($/unit) Unit Sale Price ($/unit) A 15000 2000 $16 $20 B 10000 3000 $20

Table 1

SKU

Mean demand (units/month)

Std. Deviation (units/month)

Unit cost ($/unit)

Unit Sale Price ($/unit)

A

15000

2000

$16

$20

B

10000

3000

$20

$23

C

10000

1500

$14

$16

For the data provided in Table 1, suppose the holding cost per unit per month is 3% of the cost of the item, and the backorder cost is 20% of the profit margin per month. The lead time to replenish the toys from the manufacturer in South Eastern China is two months.

Without substitution, the optimal replenishment order quantity for A in units will be closest to:

5500

6000

6500

7000

7500

The safety stock for C will be closest to:

130

65

0

-65

-130

With these 3 target service levels, for a customer who is willing to substitute easily among the 3 items (i.e. if they cannot find A, they will buy Bumblebee if available, and so on), the overall probability of a stock-out is closest to:

10%

30%

50%

70%

90%

For the same service level requirement and replenishment lead time, you will find the safety stock is the greatest for

A

B

C

Each of them will have the same safety stock

Cannot say with the information provided

Without substitution, the optimal replenishment order quantity for C in units will be closest to:

3500

4000

4500

5000

5500

The safety stock for A in units will be closest to:

500

600

700

800

900

The target service level for B should be closest to:

30%

40%

50%

80%

100%

The safety stock for B in units will be closest to:

150

75

0

-75

-150

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