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A company manufactures a product at its plants in A, B, and C, then ships the product to five customers in G,H,J,K, and L, The

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A company manufactures a product at its plants in A, B, and C, then ships the product to five customers in G,H,J,K, and L, The monthly capacity of plants A, B , and C are 8100,6900 , and 11000 units, respectively. The monthly demand from customers G, H, J, K, and L are 6300,5900,7100,4600, and 2100 units, respectively. The shipping cost per unit (in dollars per unit) are as follows: - from A to G,H,J,K, and L are 7,10,9,4, and 15 dollars per unit, respectively; - from B to G,H,J,K, and L are 12,7,3,17, and 6 dollars per unit, respectively; - from C to G,H,J,K, and L are 6, 11, 20,9 , and 7 dollars per unit, respectively. Find the total monthly transportation cost if the company has the following monthly transportation decision: send 3,300 units from plant A to customer H, send 200 units from plant A to customer J, send 4,600 units from plant A to customer K, send 6,900 units from plant B to customer J, send 6,300 units from plant C to customer G, send 2,600 units from plant C to customer H, and send 2,100 units from plant C to customer L

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