Kelly Weeks, President of Weeks Manufacturing, Inc., is considering whether to b
ID: 448339 • Letter: K
Question
Kelly Weeks, President of Weeks Manufacturing, Inc., is considering whether to build more manufacturing plants in Wisconsin. Her decision is summarized in the following table:
ALTERNATIVES FAVORABLE MARKET ($) UNFAVORABLE MARKET ($)
Build a large plant 425,000 -275,000
Build a small plant 75,000 -15,000
Don’t build 0 0
Probabilities 0.4 0.6
a) Construct an opportunity loss table
b) Determine EOL and the best strategy
c) What is the expected value of perfect information?
Explanation / Answer
Status of Nature Alternative Favorable Market Unfavorable Market Build a Large Plant $425,000.00 -$275,000.00 Build a Small Plant $75,000.00 -$15,000.00 Don't Build $0.00 $0.00 Probabilities 0.4 0.6 EMV Build a Large Plant = 0.4 * 425000 + 0.6 * $-275000 = 170000 - 165000 = $5000 EMV Build a Small Plant = 0.6 * 75000 + 0.4 * -15000 = 30000 - 9000 = $21000 EMV Don't Build = $0 Expected Value of Perfect Information It is calculated by multiplying highes payoff with respective probability and then subtracting highest EMV Expected Value|Perfect Information = 0.4 * 425000 + 0.6 * - 15000 = 170000 - 9000 = $161000 Expected Value|Perfect Information - Highest EMV = 161000 - 21000 = 14000 Opportunity Loss table State of Nature Maximum Recommendation Alternative High Demand Low Demand Regret Build a Large Plant $0.00 $275,000.00 $275,000.00 Build a Small Plant $75,000.00 $15,000.00 $75,000.00 Build a Small Plant Don't Build $425,000.00 $0.00 $425,000.00 Minimax Regret Value $75,000.00
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