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

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21T: A manufacturer produces two models of television stands. The table at the left shows the times (in...
icon
Related questions
Question

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”.
 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer