The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, 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 thousands of dollars):

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, 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 thousands of dollars):

 

  State of Nature
  Low Demand Medium Demand High Demand
Decision Alternative s1 s2 s3
Manufacture, d1 -20 40 100
Purchase, d2 10 45 70

 

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

  1. What is Gorman's optimal decision strategy?

    Decision strategy:

    If F then  .

    If U then  .

  2. What is the expected value of the market research information?

    Expected value: $  

  3. What is the efficiency of the information? If required, round your answer to one decimal place.

    Efficiency: 
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