In a baseball game, Jorge is the pitcher and Jack the batter. Jorge can throw either a

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In a baseball game, Jorge is the pitcher and Jack the batter. Jorge can throw either a fast or a curve ball at random. If Jack predicts Jorge’s throw correctly, his batting score stands at .500 for a curve ball and .300 for a fast ball. Else, if he misses, then his batting average drops to .200 for a curve ball and .100 for fast ball.

(a) Define the alternatives for this situation.

(b) Define the objective function for the problem, and discuss how it differs from the familiar optimization (maximization or minimization) of a criterion.

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