E5-01 - Problem 5.1(a Total of trips Required Trips from LA...

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Problem 5.1 (a) State Washington 40 0 150 0 250 Oregon 35 0 150 0 250 California 100 0 75 0 200 Idaho 25 0 150 0 200 Nevada 40 0 100 0 200 Montana 25 175 0 175 Wyoming 50 150 0 175 Utah 30 150 0 150 Arizona 50 0 75 0 200 Colorado 65 0 150 0 125 New Mexico 40 0 125 0 125 North Dakota 30 0 300 0 200 South Dakota 20 0 300 0 175 Nebraska 30 0 250 0 100 Kansas 40 0 250 0 75 Oklahoma 55 0 250 0 25 Sum 675 0 0 0 must be 0 must be 0 0 Fixed Cost of office 165428 131230 Fixed Cost incurred 0 0 Cost of Trips 0 0 0 0 zi - Myi 0 <=0 0 <=0 Total Office Cost 0 0 Total System Cost for all i M can be set to 675/25, the max # of consultants any one location would ever need Total # of trips Required Trips from LA Cost from LA Trips from Tulsa Cost from Tulsa = sum j x ij = sum j x ij # of Consultants, z i 25*z i <= 25*z i <= 25*z i Office Variables, y i Note: z i <= My i Need to be positive Integers Sumproduct(F,G) Fixed cost incurred + cost of trips
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40 200 0 25 - >= 0 35 200 0 75 - >= 0 decision variables 100 150 0 125 - >= 0 objective function 25 125 0 125 - >= 0 40 125 0 150 - >= 0 25 125 0 125 - >= 0 50 100 0 150 - >= 0 30 100 0 200 - >= 0 50 100 0 250 - >= 0 65 25 0 250 - >= 0 40 75 0 300 - >= 0 30 150 0 200 - >= 0 20 125 0 200 - >= 0 30 125 0 250 - >= 0 40 75 0 300 - >= 0 55 125 0 300 - >= 0 675 0 27 must be 0 must be 675 0 140000 145000 140000 0 79500 0 1 0 0 <=0 0 <=0 219500 0 219,500 Trips from Denver Cost From Denver Trips from Seattle Cost from Seattle Sum i
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E5-01 - Problem 5.1(a Total of trips Required Trips from LA...

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