UA and DU are devising their strategies for the 1994 national championship men’s college basketball game. Assessing the strengths of their respective “benches,” each coach comes up with four strategies for rotating the players during the game. The ability of each team to score 2-pointers, 3-pointers, and free throws is key to determining the final score of the game. The following table summarizes the net points UA will score per possession as a function of the different strategies available to each team:

(a) Solve the game by linear programming, and determine a strategy for the championship game.

(b) Based on the given information, which of the two teams is projected to win the championship?

(c) Suppose that the entire game will have a total of 60 possessions (30 for each team). Predict the expected number of points by which the championship will be won.

Transcribed Image Text:

UA₁ UA 2 UA 3 UA4 DU₁ DU₂ DU3 DU4 3 -2 1 2 2 3 -3 0 -1 2 -2 2 -1 4 1 -2