Problem 2 Dr. B( g is trying to choose the starting lineup for his fantasy NBA basketball team. The team consists of eight players who have been rated on a scale of 1 (poor) to 3 (excellent) according to their ball-handling, shooting, rebounding, and defensive abilities. The positions that each player can play and the players' abilities are listed below. The five-player starting lineup must satisfy the following requirements: • At least 4 players must be able to play guard, at least 2 players must be able to play forward, and at least 1 player must be able to play center. • The average ball-handling, shooting, and rebounding level of the starting lineup must each be at least 1.8. Formulate an integer programming model that helps Dr. Song determine who should be on the starting lineup (5 players) to maximize the total defensive ability of the starting lineup. (You don't need to solve it in Excel or Python)

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