# HW2 - respectively Assume your variables can be continuous...

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IE 122- Software Tools Spring 2011- HW 2 Due Date: Friday 02/25/2011, 11:59 p.m. 1. Consider a manufacturer who produces three types of dining room sets (call them A, B, C for convenience). The sale prices of each are \$2800, \$3100 and \$2500, respectively. The production process includes 3 types of machinery and the dining sets have to spend a certain amount of time in each to be processed. Table below shows the time requirements by the type and available resources in terms of machine and labor hours. Dining Set Type A B C Resource Required Hours Available Hours Labor 15 22 11 ---- Machine 1 2 3 2 400 hrs/week Machine 2 5 4 1.5 635 hrs/week Machine 3 1.5 1.3 0.7 200 hrs/week The costs associated with production are labor cost and cost of raw material. The labor cost is \$32 per hour and the raw materials used in the production of one unit of A, B and C cost \$800, \$680 and \$930,

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Unformatted text preview: respectively. Assume your variables can be continuous. Use the above information to formulate a linear programming model that will help the company to maximize its profit and find the optimal weekly mix of production. a) Formulate the linear programming model and write it explicitly using Word or notepad. Do not forget to identify the decision variables, objective function and the constraints. b) Formulate the problem in AMPL, using data file and mod file. Solve your problem and include your solution in question2 folder. 2. Using data file and two-indexed parameters and variables create an AMPL model for the exercise 2-1 of your text book and solve it. 3. Using data file, create an AMPL model for the exercise 2-2 of your text book and solve it....
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HW2 - respectively Assume your variables can be continuous...

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