In a baseball game, Jim is the pitcher and Joe is the batter. Suppose that Jim can throw either a fast or a curve ball at random. If Joe correctly predicts a curve ball, he can maintain a 400 batting average, else, if Jim throws a curve ball and Joe prepares for a fast ball, his hatting average is kept down to .200. On the other hand, if Joe correctly predicts a fast ball, he gets a .250 batting average, else, his batting average is only .125. (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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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*(b) What is the shortest time for moving all four people to the other side of the river?
1-5. In a baseball game, Jim is the pitcher and Joe is the batter. Suppose that Jim can throw
either a fast or a curve ball at random. If Joe correctly predicts a curve ball, he can
maintain a .400 batting average, else, if Jim throws a curve ball and Joe prepares for a
fast ball, his hatting average is kept down to 200. On the other hand, if Joe correctly
predicts a fast ball, he gets a .250 batting average, else, his batting average is only. 125.
(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.
Transcribed Image Text:*(b) What is the shortest time for moving all four people to the other side of the river? 1-5. In a baseball game, Jim is the pitcher and Joe is the batter. Suppose that Jim can throw either a fast or a curve ball at random. If Joe correctly predicts a curve ball, he can maintain a .400 batting average, else, if Jim throws a curve ball and Joe prepares for a fast ball, his hatting average is kept down to 200. On the other hand, if Joe correctly predicts a fast ball, he gets a .250 batting average, else, his batting average is only. 125. (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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