Question: QUESTION 14 4 points Save Ame A company owns two factories and two warehouses to produce and store a product. The maximum units of products

QUESTION 14 4 points Save Ame A company owns two factories and two warehouses to produce and store a product. The maximum units of products Factory A and B can produce are 6000 and 7000 units, respectively. The storage capacity of Warehouse 1 and 2 are 5000 and 7000 units, respectively. The management team wants to fill the warehouses to full capacity in order to generate demand. However, the shipping costs per unit between factories and warehouses vary as shown in the following table Shipping cost per unit To Warehouse 1 From Factory A $6 From Factory B $9 To Warehouse 2 $6 $10 The question is to determine how many units of products Factory A and should manufacture and ship to Warehouse 1 and 2 so that the total cost is minimized. Let XA1 and XA2 be the units manufactured at Factory A and shipped to warehouse 1 and 2 respectively, Let xB1 and xB2 be the units manufactured at Factory B and shipped to warehouse 1 and 2 respectively. 111 Please write downyhe objective function of this problem including whether to minimize or maximize 121 Please write down all constraints for this problem What is the minimum shipping cost

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