Case 3 - D quantity produced_________ 2. Formulate and...

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A B C D Price $350.00 $320.00 $400.00 $500.00 Material cost $50.00 $40.00 $125.00 $150.00 Weekly Demand in Units 100 60 50 80 Processing Time Station 1 in minutes 20 0 40 10 Processing Time Station 2 in minutes 25 20 0 50 Processing Time Station 3 in minutes 0 20 60 30 Model MGSC 395 – Spring 2011 Graded Homework: Linear Programming Name _______________________________ Due: April 7, 2011 1. Provide a profit-maximizing LP formulation (state the objective function and constraints) and solution of the following mix problem. Supertronics Inc. would like to know how the firm’s profitability is altered by product mix. Currently, product mix is determined by giving priority to the model with the highest per unit contribution margin. Details on the Supertronics product line (including processing time at each workstation) follow: The firm assumes that each station is available for 5500 minutes per week. Maximize Z= Subject to: Solution: A quantity produced_________ Optimal value of Z: $_________ B quantity produced_________ C quantity produced_________
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Unformatted text preview: D quantity produced_________ 2. Formulate and solve using POM for Windows the following LP problem. Provide your formulation (objective function and constraints) and final values of your decision variables and Z. Westbrook sponsors an annual fund raising drive to support its Police Department. Calls for donations are made via a local television station, a local radio station, and a community based newspaper. Westbrook has budgeted $5000 for advertising. Audience reached per advertisement, the cost of each advertisement and the maximum number of advertisements per media type are shown in the following table: TV Radio Paper Audience reached 60,000 25,000 40,000 Cost per advertisement $400 $75 $250 Usage limits 10 20 10 The total number of advertisements on television and radio cannot exceed 12. Maximize Z= Subject to: Solution: TV Ads_________ Optimal value of Z: $_________ Radio Ads_________ Paper Ads_________...
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This note was uploaded on 06/06/2011 for the course MGSC 395 taught by Professor Zimmer during the Spring '10 term at South Carolina.

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Case 3 - D quantity produced_________ 2. Formulate and...

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