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Unformatted text preview: assemble. Herman has 300 square feet of lumber and 40 labor hours available. Formulate a linear program to help Herman decide how many tables and chairs to build in order to maximize his profit. ( Do not solve the problem .) Decision variables: T represents the number of tables that Herman builds. C represents the number of chairs that Herman builds. Objective function: Objective function: Maximize 120 T + 40 C (weekly profit) Constraints: Constraints: 40 T + 15 C < 300 8 T + 3 C < 40 T , C > 0. 2 Quiz 1 Solution Problem 1. a) Feasible region: b) Optimal solutions and optimal objective function line: The objective function line can be seen dashed in the graph. Problem 2. Objective function: Maximize 120 T + 40 C (weekly profit) Constraints: 40 T + 15 C < 300 8 T + 3 C < 40 T , C > 0. 3...
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- Spring '08