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 on the demand for the product. The following payoff table shows the projected profit (in thousands of dollars): State of Nature

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 on 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 0.25, 0.35, and 0.40. Do not round your intermediate calculations.

A test market study of the potential demand for the product is expected to report either a favorable (F) or unfavorable (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                                                                                                                                                                                                                                                                                                                 What is the expected value of the market research information? Enter your answer in thousands dollars. For example, an answer of $200 thousands should be entered as 200,000. If your answer is zero, enter “0”.
 

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