In the tickets example, identify a fourth feasible alternative
1-1. In the tickets example, identify a fourth feasible alternative.
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 .500 batting average, else if Jim throws a curve ball and Joe prepares for a fastball, his batting average is kept down to .200. On the other hand, if Joe Âcorrectly predicts a fastball, he gets a .300 batting average, else his batting average is only .100.
- Define the alternatives for this situation.
- Define the objective function for the problem, and discuss how it differs from the familiar optimization (maximization or minimization) of a criterion.
1-7. A (two-dimensional) pyramid is constructed in four layers: The bottom layer consists of (equally spaced) dots 1, 2, 3, and 4; the next layer includes dots 5, 6, and 7; the following layer has dots 8 and 9; and the top layer has dot 10. You want to invert the pyramid (i.e., bottom layer has one dot and top layer has four) by moving the dots around.
- Identify two feasible solutions.
- Determine the smallest number of moves needed to invert the pyramid.
1-8. You have four chains, each consisting of three solid links. You need to make a bracelet by connecting all four chains. It costs 2 cents to break a link and 3 cents to resolder it.
- Identify two feasible solutions and evaluate them.
- Determine the cheapest cost for making the bracelet
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