assn6 - ORIE 3300/5300 Individual work. ASSIGNMENT 6 Fall...

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ORIE 3300/5300 ASSIGNMENT 6 Fall 2010 Individual work. Due: 3 pm, Friday October 22. 1. A coach must assign four swimmers to a 200-meter medley relay team. She can choose from five available swimmers, each of whom could swim the 50-meter leg in any one of the four strokes. The swimmers’ best times in each stroke are listed below (in seconds). Stroke Barbara Carol Dianne Elizabeth Olympia Breaststroke 45.4 42.8 36.1 43.2 36.7 Butterfly 34.3 36.6 29.5 39.9 33.4 Backstroke 39.7 37.4 33.9 36.8 39.0 Freestyle 31.2 33.1 29.4 31.6 32.5 The coach wants the fastest possible team. Explain how to formulate her task as an assignment problem, and solve it, using the AMPL model file transp.mod . Also upload your data file at this website. 2. Consider the linear programming problem max x 1 - 2 x 2 x 1 - 2 x 2 4 x 1 - 2 x 2 ≥ - 4 x 1 , x 2 unrestricted in sign . According to the fundamental theorem of linear programming, this problem should be infeasible, unbounded, or have an optimal solution. (a) Show that this problem is feasible and bounded.
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assn6 - ORIE 3300/5300 Individual work. ASSIGNMENT 6 Fall...

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