Two Indiana state senate candidates must decide which city to visit the day before the November election. The same four cities-Indianapolis, Evansville, Fort Wayne, and South Bend-are available for both candidates. Travel plans must be made in advance, so the candidates must decide which city to visit prior to knowing the city the other candidate will visit. Values in the payoff table show thousands of voters gained by the Republican candidate based on the strategies selected by the two candidates. Which city should each candidate visit and what is the value of the game?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.4: The Precision Tree Add-in
Problem 9P
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Build and solve the linear programming model using Excel/Solver.
Two Indiana state senate candidates must decide which city to visit the day before the
November election. The same four cities-Indianapolis, Evansville, Fort Wayne, and
South Bend-are available for both candidates. Travel plans must be made in advance, so
the candidates must decide which city to visit prior to knowing the city the other candidate
will visit. Values in the payoff table show thousands of voters gained by the Republican
candidate based on the strategies selected by the two candidates. Which city should each
candidate visit and what is the value of the game?
Democratic Candidate
Indianapolis
b1
Fort Wayne South Bend
b3
Evansville
b2
b4
-15
-8
20
Indianapolis a1
Republican Evansville a2
Fort Wayne az
-10
-5
-25
30
Candidate
10
20
South Bend as
20
20
10
15
Transcribed Image Text:Two Indiana state senate candidates must decide which city to visit the day before the November election. The same four cities-Indianapolis, Evansville, Fort Wayne, and South Bend-are available for both candidates. Travel plans must be made in advance, so the candidates must decide which city to visit prior to knowing the city the other candidate will visit. Values in the payoff table show thousands of voters gained by the Republican candidate based on the strategies selected by the two candidates. Which city should each candidate visit and what is the value of the game? Democratic Candidate Indianapolis b1 Fort Wayne South Bend b3 Evansville b2 b4 -15 -8 20 Indianapolis a1 Republican Evansville a2 Fort Wayne az -10 -5 -25 30 Candidate 10 20 South Bend as 20 20 10 15
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