Two opposing armies, Red and Blue, must each decide whether to attack or defend. These decisions are made without knowledge of the opposing army's decision. The payoff table, in terms of value of property gained or lost for the Red Army, appears below. Any gains for the Red Army are losses for the Blue Army. Blue Army Attack Defend Red Attack 30 50 Army Defend 40 a. What is the optimal mixed strategy for the Red Army? b. What is the optimal mixed strategy for the Blue Army?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section2.7: Decisions Involving The Time Value Of Money
Problem 16P
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Build and solve the linear programming model using Excel/Solver.
Two opposing armies, Red and Blue, must each decide whether to attack or defend. These
decisions are made without knowledge of the opposing army's decision. The payoff table,
in terms of value of property gained or lost for the Red Army, appears below. Any gains
for the Red Army are losses for the Blue Army.
Blue Army
Attack
Defend
Red
Attack
Defend
30
50
Army
40
a. What is the optimal mixed strategy for the Red Army?
b. What is the optimal mixed strategy for the Blue Army?
Transcribed Image Text:Two opposing armies, Red and Blue, must each decide whether to attack or defend. These decisions are made without knowledge of the opposing army's decision. The payoff table, in terms of value of property gained or lost for the Red Army, appears below. Any gains for the Red Army are losses for the Blue Army. Blue Army Attack Defend Red Attack Defend 30 50 Army 40 a. What is the optimal mixed strategy for the Red Army? b. What is the optimal mixed strategy for the Blue Army?
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