Develop a network representation of the given problem

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Reference no: EM13919109

CarpetPlus sells and installs floor covering for commercial buildings. Brad Sweeney, a CarpetPlus account executive, was just awarded the contract for five jobs. Brad must now assign a CarpetPlus installation crew to each of the five jobs. Because the commission Brad will earn depends on the profit CarpetPlus makes, Brad would like to determine an assignment that will minimize total installation costs. Currently, five installation crews are available for assignment. Each crew is identified by a color code, which aids in tracking of job progress on a large white board. The following table shows the costs (in hundreds of dollars) for each crew to complete each of the five jobs:

		1	2	Job 3	4	5
	Red	30	44	38	47	31
	White	25	32	45	44	25
Crew	Blue	23	40	37	39	29
	Green	26	38	37	45	28
	Brown	26	34	44	43	28

a. Develop a network representation of the problem.

b. Formulate and solve a linear programming model to determine the minimum cost assignment.

Reference no: EM13919109

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