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A firm makes paper at three locations: Seattle (Washington), Kalamazoo (Michigan), and Boise (Idaho). The product is needed in four locations: New York, Chicago,

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A firm makes paper at three locations: Seattle (Washington), Kalamazoo (Michigan), and Boise (Idaho). The product is needed in four locations: New York, Chicago, Houston, and Los Angeles. The demand in tons, the capacities in tons, and the cost of shipping one ton of paper from each source to each demand center are given below: demand 500 400 450 capacity 400 Seattle.. New York 250 Chicago Houston 600 Los Angeles 150 200 100 800 1200 Kalamazoo 150. Boise 75 250 300 200 180 220 90 For example, the capacity of the plant in Seattle is 400 tons; the demand at Houston is 450 tons; and the cost of shipping one ton of paper from Seattle to New York is $250. Find the least cost of transporting the material. (All assumptions of the transportation model can be assumed to hold, such as the linearity of the cost of shipment)

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