The XY Manufacturing Company must decide whether to manufacture acomponent part at its plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff table shows the projected profit (in ten thousand of pesos):

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Question

The XY Manufacturing Company must decide whether to manufacture acomponent part at its plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff table shows the projected profit (in ten thousand of pesos):

  State of Nature State of Nature State of Nature
Decision Alternative Low Demand
S_(1)
Medium Demand
S_(2)
High Demand
S_(3)
Manufacture, d_(1) -100 200 500
Purchase, d_(2) 50 225 350

The state-of-nature probabilities are P(s1) = 0.35, P(s2) = 0.35, and P(s3
) = 0.30.

a. Use a decision tree to recommend a decision. 
b. Use EVPI to determine whether XY Manufacturing Company should attempt to obtain a better estimate of demand. 

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