Calculate the manufacturer's marginal profit, manufacturer's marginal loss, distributor's marginal profit. Calculate the expected profit of the retailer and the manufacturer for 6 above-mentioned demand scenarios. Then, conclude on which production quantity Q to maximize manufacturer's expected profit, which production quantity Q to maximize distributor's expected profit.

Economics Today and Tomorrow, Student Edition
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ISBN:9780078747663
Author:McGraw-Hill
Publisher:McGraw-Hill
Chapter5: Buying The Necessities
Section: Chapter Questions
Problem 20AA
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Accounting
Question 3:
Consider a supply chain with the manufacturer, the
distributor and the retailer, using a pay-back contract,
as below cost-benefit & demand forecasting details:
F=$120,000 ; c=$50 ; w=$75 ; s=$15 ; v=$19 ; p=$120;
The demand forecasting can be found as below:
(units)
9,000
9,450
9,923
10,419
10,940
11,487
Prob
0.14
0.09
0.26
0.21
0.18
0.12
a. Calculate the manufacturer's marginal profit,
manufacturer's marginal loss, distributor's marginal
profit.
6. Calculate the expected profit of the retailer and the
manufacturer for 6 above-mentioned demand
scenarios. Then, conclude on which production quantity
Q to maximize manufacturer's expected profit, which
production quantity Q to maximize distributor's
expected profit.
Transcribed Image Text:Accounting Question 3: Consider a supply chain with the manufacturer, the distributor and the retailer, using a pay-back contract, as below cost-benefit & demand forecasting details: F=$120,000 ; c=$50 ; w=$75 ; s=$15 ; v=$19 ; p=$120; The demand forecasting can be found as below: (units) 9,000 9,450 9,923 10,419 10,940 11,487 Prob 0.14 0.09 0.26 0.21 0.18 0.12 a. Calculate the manufacturer's marginal profit, manufacturer's marginal loss, distributor's marginal profit. 6. Calculate the expected profit of the retailer and the manufacturer for 6 above-mentioned demand scenarios. Then, conclude on which production quantity Q to maximize manufacturer's expected profit, which production quantity Q to maximize distributor's expected profit.
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