OPRS 235a midterm

# OPRS 235a midterm - OPRS 235a fall of 2010 Open-book...

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OPRS 235a, fall of 2010 Open-book open-web take-home midterm exam This test is to be turned in at the start of class on Tuesday, October 19 th . You are to copy and sign the statement that appears below in quotes and turn it in with your answers to the questions on this test: “I did this test by myself. I communicated with no person other than Eric Denardo about any matter having anything to do with the content of OPRS 235 from 2:15 Thursday, October 14 th , until I turned the test document in. signature 1. (10 points) For a maximization problem in Form 1, the following tableau has been encountered. In it, * stands for an unspecified data element. Prove there exist no values of the unspecified data elements for which it is optimal to set A > 0. Hint: If a feasible solution exists with A > 0, show that it is profitable to perturb that solution in a particular way. 2. (30 points) A company makes two products in a single plant. It can run this plant for as much as 100 hours each week. Each unit of product A that the company produces consumes 2 hours of plant capacity, earns the company a contribution of \$1,000 and causes, as an undesirable side effect, the emission of 2 ounces of particulates. Each unit of product B that the company produces consumes 1 hour of capacity, earns the company a contribution of \$2,000 and causes, as undesirable side effects, the emission of 1.5 ounces of particulates and of

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OPRS 235a midterm - OPRS 235a fall of 2010 Open-book...

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