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QDM FINAL spring 2005-1 - QUANTITATIVE DECISION MAKING...

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QUANTITATIVE DECISION MAKING NAME__________________ FINAL TEST SPRING 2005 Points Possible = 100 points POINTS = ______________ Work the following problems. Show all of your work. Start each problem on a separate page. Submit all computer output generated in solving the problems. 1. Linear Programming. (25 points) The Westfall Company has a contract to produce 10,000 garden hoses for a large discount chain. Westfall has four different machines that can produce this kind of hose. Because these machines are from different manufacturers and use differing technologies, their specifications are not the same. Machine Fixed Cost to Set Up Production Run Variable Cost Per Hose Capacity 1 750 1.25 6000 2 500 1.50 7500 3 1000 1.00 4000 4 300 2.00 5000 a. This problem requires two different kinds of decision variables. Clearly define each kind. b. The company wants to minimize total cost. Give the objective function. c. Give the constraints for the problem. d. Write a constraint to ensure that if machine 4 is used, machine 1 cannot be.
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