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# t1key - MAT 419 Linear Optimization Exam#1 Key Feb 7 2008 1...

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MAT 419 Linear Optimization Exam #1 Key Feb 7, 2008 1. Consider the following, um, true story. The State of Florida must make two types of ballots, A and B, which they will use for an election, using three types of materials: construction paper, tissue paper, and ink. Ballot A uses 210 cm 2 of construction paper, 35 cm 2 of tissue paper, and 3 tsp of ink, and generates 7 chads. Ballot B uses 190 cm 2 of construction paper, 55 cm 2 of tissue paper, and 2 tsp of ink, and generates 3 chads. The State must generate at least 70,000 chads, but only 2 . 8 million cm 2 of construction paper, . 63 million cm 2 of tissue paper, and 35 thousand tsp of ink are available. Moreover, construction paper costs 23 cents per 100 cm 2 , tissue paper costs 2 cents per 100 cm 2 , and ink costs 15 cents per tsp. Assuming that the State of Florida wishes to minimize its cost, write down the associated LOP (not necessarily in standard form). The cost of each ballot A is (2

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t1key - MAT 419 Linear Optimization Exam#1 Key Feb 7 2008 1...

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