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 B 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 |
A rational manager, when setting safety stock for a substituting customer, and considering aggregate demand, relative to no substitution, will set the target service level to be:
| Even lower than the smallest of the target service levels across the 3 products |
| Even higher than the largest of the target service levels across the 3 products |
| The median service level across the 3 products |
| The smallest of the target service levels across the 3 products |
| The largest of the target service levels across the 3 products |
Without substitution, the reorder point for A in units should ideally be closest to:
| 10000 |
| 20000 |
| 30000 |
| 40000 |
| 50000 |
If customers are willing to substitute easily across the three products, and we set the service level as the highest target service level among the three items, the safety stock considering aggregate demand will be closest to:
| 1500 |
| 1750 |
| 2000 |
| 2250 |
| 2500 |
The target service level for A should be closest to:
| 10% |
| 30% |
| 50% |
| 60% |
| 90% |
If customers are willing to substitute easily across the three products, but now we set the service level as the lowest target service level among the three items, the safety stock considering aggregate demand will be closest to:
| 500 |
| 300 |
| 150 |
| 0 |
| -150 |
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