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The head football coach of Team A is attempting to come up with a strategy to deal with the rivals, Team B. Team A

 
 

The head football coach of Team A is attempting to come up with a strategy to deal with the rivals, Team B. Team A is on offense, and Team B is on defense. The head couch has five preferred plays, but is not sure which one to select. The head couch, however, knows that Team B usually employs one of three defensive plays. Over the years, the head couch of Team A has diligently recorded the yardage gained by his team for each combination of plays used, and has come up with the following table (negative numbers denote yardage lost): Strategy Team A D 09 0 0 0 04 05 -5 Team B 555 D D -5 5 0 7 15 -5 HOSSS 5 10 -5 10 -10 10 What are the optimal strategies for the two teams? What is the (expected) yardage gained/lost by Team A? Specify your solution approach.

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