In: Statistics and Probability
The A&M Hobby Shop carries a line of radio-controlled model racing cars. Demand for the cars is assumed to be constant at a rate of 27 cars per month. The cars cost $69 each, and ordering costs are approximately $11 per order, regardless of the order size. The annual holding cost rate is 21%.
| (a) | Determine the economic order quantity and total annual cost under the assumption that no backorders are permitted. |
| If required, round your answers to two decimal places. | |
| Q* = | |
| Total Cost = $ | |
| (b) | Using a $49 per-unit per-year backorder cost, determine the minimum cost inventory policy and total annual cost for the model racing cars. |
| If required, round your answers to two decimal places. | |
| S* = | |
| Total Cost = $ | |
| (c) | What is the maximum number of days a customer would have to wait for a backorder under the policy in part (b)? Assume that the Hobby Shop is open for business 300 days per year. |
| If required, round your answer to two decimal places. | |
| Length of backorder period = days | |
| (d) | Would you recommend a no-backorder or a backorder inventory policy for this product? Explain. |
| If required, round your answers to two decimal places. | |
| Recommendation would be [backorder OR no-backorder] inventory policy, since the maximum wait is only days and the cost savings is $ . | |
| (e) | If the lead time is six days, what is the reorder point for both the no-backorder and backorder inventory policies? |
| If required, round your answers to two decimal places. | |
| Reorder point for no-backorder inventory policy is . | |
| Reorder point for backorder inventory policy is . |