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4-2 A small engineering consulting firm has 3 senior designers available to work on the firm's 4 current projects over the next 2 weeks. Each de- signer has 80 hours to split among the projects, and the following table shows the manager's scoring (0 = nil to 100 = perfect) of the capability of each designer to contribute to each project, along with his estimate of the hours that each project will require. Project Designer 1 2 3 4 1 90 80 10 50 2 60 70 50 65 3 70 40 80 85 Required 70 50 85 35 The manager wants to assign designers to maxi- mize total capability. (a) Formulate an allocation LP to choose an optimal work assignment. (b) Enter and solve your model with the class optimization software.

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