Question: 1. Assignment Problem Three professors must be assigned to teach six sections of Management Science. Each professor can teach up to two sections. Each has

1. Assignment Problem Three professors must be assigned to teach six sections of Management Science. Each professor can teach up to two sections. Each has ranked the six time periods during which MS is taught. Higher the ranking, higher is the desirability of the professor to teach at that time. Determine an assignment of professors to sections to maximize the desirability ranking..

9AM 10 11 1 2 3PM
Professor1 8 7 6 5 7 6
Professor2 9 9 8 8 4 4
Professor3 7 6 9 6 9 9

2. Transshipment Problem Widgetco manufactures widgets at two factories, one in Memphis and one in Denver. The Memphis factory can produce upto 150 widgets per day, and Denver can produce upto 200. Widgets are shipped by air to consumers in LA and Boston. The customers in each city require 130 widgets per day. Because of the deregulation of air fares, the company believes that it may cheaper to first fly some widgets to NY or Chicago and then fly them to their final destinations. The costs of flying are provided on the next table. Formulate the problem to minimize the total cost of shipping the required widgets to its customers, and solve it using Excel Solver.

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