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Projected DemandMax Demand in Each zone 1999 2000 2001 2002Northwest 320,000.00 576,000.00 1,036,800.00 1,866,240.00 Southwest 200,000.00 360,000.00 648,000.00 1,166,400.00 Upper Midwest 160,000.00 288,000.00 518,400.00 933,120.00 Lower Midwest 220,000.00 396,000.00 712,800.00 1,283,040.00 Northeast 350,000.00 630,000.00 1,134,000.00 2,041,200.00 Southeast 175,000.00 315,000.00 567,000.00 1,020,600.00
8,310,600.00
Associated Cost MatrixNorthwest Southwest Upper MidwestLower Midwest Northeast
Seattle 2 2.5 3.5 4 5Denver 2.5 2.5 2.5 3 4St. Louise 3.5 3.5 2.5 2.5 3Atlanta 4 4 3 2.5 3Philadelphia 4.5 5 3 3.5 2.5
Decision VariableNorthwest Southwest Upper MidwestLower Midwest Northeast
Seattle 1,211,164 788,835 - - 0 Denver 655,076 377,565 628,225 - 0 St. Louise - - 304,895 666,912 898,002 Atlanta - - - 616,128 487,161 Philadelphia - - - - 656,037 Total 1866240 1166400 933120 1283040 2041200
Objective Function Location/Type OutputWarehouse Cost Small WarehoLarge WarehouseFixed Seattle 1 0 300000
Denver 1 0 250000St. Louise 1 0 220000Atlanta 0 1 375000Philadelphia 1 0 240000
Variable CostSeattle 399999.8Denver 332173.2St. Louise 373961.8Atlanta 424777.8Philadelphia 131207.4
Total Warehouse Cost 3047120
Inventory Holding Cost
Fixed 475000Variable 1371249Total Inventory Holding Cost 1846249
Transportation Cost 20863499.5 5215874.875
Total Cost 10,109,244
Southeast5.54.53.52.5
4
Southeast Total Cost of Warehouse Operations - 1999999 Small - 1660866 Fix - 1869809 Seattle 300000 1,020,600 2123889 Denver 250000 - 656037 St. Louise 220000
1020600 8310600 Atlanta 220000Philadelphi 240000
2000000
Cost of Warehouse OperationsLarge
Var Fix Var0.2 500000 0.20.2 420000 0.20.2 375000 0.20.2 375000 0.20.2 400000 0.2
4000000