Consider a supply chain with the manufacturer, the retailer and end-users, using a buy-back contract, as below
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Question:
F=$120,000 ; c=$30 ; w=$75 ; b=$50 ; p=$122 ; s=$15;
Demand | 1,800 | 1,920 | 2,040 | 2,160 |
Probability | 26% | 27% | 29% | 18% |
- Calculate the retailer’s marginal profit, retailer’s marginal loss, manufacturer’s marginal profit.
- Calculate the expected profit of the retailer and the manufacturer for 4 above-mentioned demand scenarios. Then, conclude on which production quantity Q to maximize manufacturer’s expected profit, which production quantity Q to maximize retailer’s expected profit.
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