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):

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter1: Introduction And Goals Of The Firm
Section: Chapter Questions
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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 demnad 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.

a. A test market study of the potential demand for the product is expected to report either a favourable (F) or unfavourable (U) condition. The relevant conditional probabilities are as follows:

             P(F|S1)=0.10             P (U|S1)=0.90

             P(F|S2)=0.40             P (U|S2)=0.60

             P(F|S3)=0.60             P (U|S3)=0.40

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