20. The Video Game Supply Company (VGS) is deciding whether to set next year's production at 2000, 2500, or 3000 games. Demand could be low, medium, or high. Using historical data, VGS estimates the probabilities as: 0.4 for low demand, 0.3 for medium demand, and 0.3 for high demand. The following profit payoff table (in $100s) has been developed.| Demand Production Target Low Medium High 2000 games 2500 games 3000 games 1000 1200 1400 800 1500 1300 600 1700 1400 (a) [1] What is the maximax decision alternative? (b) [1] What is the maximin decision alternative? (c) [2] Determine the expected value of each alternative and indicate what should be the production target for next year based on expected value. (d) [1] Determine the expected value with perfect information about the states of nature. (e) [1] Determine the expected value of perfect information.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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20. The Video Game Supply Company (VGS) is deciding whether to set next year's
production at 2000, 2500, or 3000 games. Demand could be low, medium, or
high. Using historical data, VGS estimates the probabilities as: 0.4 for low
demand, 0.3 for medium demand, and 0.3 for high demand. The following profit
payoff table (in $100s) has been developed.
Demand
Production Target
Low
Medium
High
2000 games
2500 games
3000 games
1000
1200
1400
800
1500
1300
600
1700
1400
(a) [1] What is the maximax decision alternative?
(b) [1] What is the maximin decision alternative?
(c) [2] Determine the expected value of each alternative and indicate what
should be the production target for next year based on expected value.
(d) [1] Determine the expected value with perfect information about the states of
nature.
(e) [1] Determine the expected value of perfect information.
Transcribed Image Text:20. The Video Game Supply Company (VGS) is deciding whether to set next year's production at 2000, 2500, or 3000 games. Demand could be low, medium, or high. Using historical data, VGS estimates the probabilities as: 0.4 for low demand, 0.3 for medium demand, and 0.3 for high demand. The following profit payoff table (in $100s) has been developed. Demand Production Target Low Medium High 2000 games 2500 games 3000 games 1000 1200 1400 800 1500 1300 600 1700 1400 (a) [1] What is the maximax decision alternative? (b) [1] What is the maximin decision alternative? (c) [2] Determine the expected value of each alternative and indicate what should be the production target for next year based on expected value. (d) [1] Determine the expected value with perfect information about the states of nature. (e) [1] Determine the expected value of perfect information.
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