Quiz 1_F2011

Quiz 1_F2011 - assemble. Herman has 300 square feet of...

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MGMT 30600 – Quiz 1, Fall 2011 Name: ________ ID: _____________________________ 1. Graphical Solution Method: Consider the following constraints and the corresponding graph below: Constraint 1: Constraint 2: Constraint 3: a. (3 points) Shade the feasible region in the graph provided above. b. (3 points) The objective function is Maximize. Mark the optimal solution(s) in the above graph. Do not calculate the x and y coordinates at optimal solution(s). Draw the optimal objective function line through the optimal solution(s). 1
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2. (4 points) Linear Programming Formulation: Herman Johnson makes tables and chairs for sale in furniture specialty stores. Each table he makes yields a profit of $120 for him. Each chair generates a profit of $40. A table requires 40 square feet of lumber and takes Herman 8 hours to assemble. A chair requires 15 square feet of lumber and takes him 3 hours to
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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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Quiz 1_F2011 - assemble. Herman has 300 square feet of...

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