A Pump Manufacturing Company currently maintains plants in A…
A Pump Manufacturing Company currently maintains plants in Atlanta, Tulsa, and Houston that supply major distribution centers in Dallas and Evansville. The pertinent production and distribution costs, as well as the plant capacities and distribution center demands, are in the following model. Distribution Center Capacity Production Cost(per unit) Plant Dallas Evansville Atlanta 8 7 600 6 Boston 4 3 900 5 Cleveland 5 4 500 2 Demand 800 1200 2000 Formulate the problem as a linear problem by using the given decision variables to minimize the total costs. Let Xij = Flow on the arc from node denoting plant i to node denoting distribution Center j, where i = A (for Atlanta), B (for Boston), C (for Cleveland), and j = D (for Dallas), and E (for Evansville). Write down an objective function and constraints Not Excel function XAD, XAE, XBD, XBE, XCD, XCE >= 0 (Non-negativity)
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