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.

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
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Chapter1: Making Economics Decisions
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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 & 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%

  1. Calculate the retailer’s marginal profit, retailer’s marginal loss, manufacturer’s marginal profit.
  2. 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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