Consider a supply chain with the manufacturer, the retailer and end-users, using a buy-back contract, as below cost-benefit & demand forecasting details: 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.
Consider a supply chain with the manufacturer, the retailer and end-users, using a buy-back contract, as below cost-benefit & demand forecasting details: 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.
Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter20: The Problem Of Adverse Selection Moral Hazard
Section: Chapter Questions
Problem 3MC
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Consider a supply chain with the manufacturer, the retailer and end-users, using a buy-back contract, as below cost-benefit &
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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