Create a solver model and find the optimal solution

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Reference no: EM13821840

Sycamore Plastics (SP) is a manufacturer of polyethylene plastic pellets used as a raw material by manufacturers of plastic goods around the U.S. SP currently operate four manufacturing centers in Philadelphia, PA; Atlanta, GA; St. Louis, MO; and Salt Lake City, UT. The plants have different capacities and production costs as indicated in the table below:

                                                         Maximum Capacity               Production Costs

PLANT                                                 (x 100,000 lbs.)                    (per 1,000 lbs)

Philadelphia                                                 7.5                                      $325.00

Atlanta                                                          9.0                                      $275.00

St. Louis                                                      12.0                                      $305.00

Salt Lake City                                             10.3                                      $250.00

            SP currently has six contract customers located in New York City, Birmingham, AL; Terre Haute, IN; Dallas, TX; Spokane, WA and San Diego, CA. Transportation costs between the plants and various customers, as well as contracted demand from each customer, are shown in the table below:

                                                          Transportation Costs per 1,000 lbs_______

From/To            NYC   Birmingham   Terre Haute    Dallas    Spokane    San Diego

Philadelphia      $45          $52                   $56              $62            $78            $85

Atlanta               $55          $42                   $58              $59            $80            $82

St. Louis             $57          $60                   $50              $54            $65            $70

Salt Lake City   $72          $71                   $67              $57            $52            $60

Total Demand   525         415                   925              600             325           400

Create a solver model and find the optimal solution to help SP develop a distribution plan that will minimize the costs to supply the customer’s demand

Comment briefly on your solution. Beyond the obvious, does your proposed solution have any other implications for SP?

Reference no: EM13821840

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