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Unit 10 Assignment 1 Stateline Shipping And Transport Company

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Unit 10 Assignment 1 Stateline Shipping And Transport Company
Week 10 – Assignment # 4 06/16/13

Stateline Shipping & Transport Company

Question #1 – Transportation Model Plant Waste Disposal | A. White Water | B. Los Canos | C. Duras | Supply | 1. Kingsport | 12 | 15 | 17 | 35 | 2. Danville | 14 | 9 | 10 | 26 | 3. Macon | 13 | 20 | 11 | 42 | 4. Selma | 17 | 16 | 19 | 53 | 5. Columbus | 7 | 14 | 12 | 29 | 6. Allentown | 22 | 16 | 18 | 38 | Demand | 65 | 80 | 105 | |

Xij = Shipping from plant to disposal site. i = PLANT = 1,2,3,4,5,6 j = disposal sites = A, B, C
The objective function of the manager is to minimize the total transportation cost for all shipments. Therefore, the objective function is the sum of the individual shipping costs
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There are 9 constraints- one for each plant supply and one for each waste disposal site’s demand.

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For doing the analysis using Excel solver we assume the shipping cost per barrel for the decision variables , , , ,,,,, are assumed to be 100 in order to make sure that the variable representing that routes do not have a value in the optimal solution. Plant | Plant | | Kingsport | Danville | Macon | Selma | Columbus | Allentown | Kingsport | 0.0 | 0.0 | 19.0 | 0.0 | 0.0 | 0.0 | Danville | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | Macon | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | Selma | 0.0 | 0.0 | 17.0 | 0.0 | 36.0 | 0.0 | Columbus | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | Allentown | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | Waste Received | 0.0 | 0.0 | 36.0 | 0.0 | 36.0 | 0.0 | | | | | | | | | | | | | | | | Plant | Waste Disposal Sites | Supply | Accum Supply | | | Whitewater | Los Canos | Duras | | | | Kingsport | 0.0 | 16.0 | 0.0 | 35.0 | 16.0

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