Two companies compete for a share of the soft drink market. Each has worked with an advertising agency to develop alternative advertising strategies for the coming year. A variety of television advertisements, newspaper advertisements, product promotions, and in-store displays have provided four different strategies for each company. The payoff table summarizes the gain in market share for Company A projected for the various com- binations of Company A and Company B strategies. What is the optimal strategy for each company? What is the value of the game? Company A a1 a2 az as 53242 20226 Company B b3 2157 -1 b4 4 6 0

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Build and solve the linear programming model using Excel/Solver.
Two companies compete for a share of the soft drink market. Each has worked with an
advertising agency to develop alternative advertising strategies for the coming year. A
variety of television advertisements, newspaper advertisements, product promotions, and
in-store displays have provided four different strategies for each company. The payoff
table summarizes the gain in market share for Company A projected for the various com-
binations of Company A and Company B strategies. What is the optimal strategy for each
company? What is the value of the game?
Company B
b2
b1
b3
b4
4.
ai
2
1
a2
Company A
4
2
az
-2
6.
-1
0.
d4
Transcribed Image Text:Two companies compete for a share of the soft drink market. Each has worked with an advertising agency to develop alternative advertising strategies for the coming year. A variety of television advertisements, newspaper advertisements, product promotions, and in-store displays have provided four different strategies for each company. The payoff table summarizes the gain in market share for Company A projected for the various com- binations of Company A and Company B strategies. What is the optimal strategy for each company? What is the value of the game? Company B b2 b1 b3 b4 4. ai 2 1 a2 Company A 4 2 az -2 6. -1 0. d4
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