Introduction to Management Science 12th Edition by Bernard Taylor

Exercise 32

In Problem, the Tech coaches have reviewed game films and have determined the following probabilities that State will use each of its defenses:
a. Using expected value, rank Tech's plays from best to worst.
b. During the actual game, a situation arises in which Tech has a third down and 10 yards to go, and the coaches are 60% certain State will blitz, with a 10% chance of any of the other four defenses. What play should Tech run Is it likely the team will make the first down
Problem
The Tech football coaching staff has six basic offensive plays it runs every game. Tech has an upcoming game against State on Saturday, and the Tech coaches know that State employs five different defenses. The coaches have estimated the number of yards Tech will gain with each play against each defense, as shown in the following payoff table:
a. If the coaches employ an offensive game plan, they will use the maximax criterion. What will be their best play
b. If the coaches employ a defensive plan, they will use the maximin criterion. What will be their best play
c. What will be their best offensive play if State is equally likely to use any of its five defenses