Question
A newsstand receives its weekly order of View magazine on Monday and cannot reorder during the week. Each copy costs $1.80 and sells for $3.00.
A newsstand receives its weekly order of View magazine on Monday and cannot reorder during the week. Each copy costs $1.80 and sells for $3.00. Unsold copies may be returned the following week for a $1.20 rebate. When the newsstand runs out of copies, the owner knows from experience that customers will purchase View magazine elsewhere for an average of two weeks; therefore, the estimated goodwill loss from stock-outs is $2.40 per unsatisfied customer. Demand has been remarkably constant, ranging from 7 to 10 copies per week, as shown below:
Demand (in copies) | 7 | 8 | 9 | 10 |
Probability | 0.30 | 0.40 | 0.20 | 0.10 |
Required: 1-a. Determine the optimal number of copies to keep in inventory. (Round your answers to 2 decimal places.)
1-b. Determine the expected profit. (Round your answer to 2 decimal places.)
2. What is the expected opportunity loss from keeping seven copies on hand? (Round your answer to 2 decimal places.)
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