question archive The distribution system for the Herman Company consists of three plants, two warehouses, and four customers
Subject:ManagementPrice: Bought3
The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities and shipping costs per unit (in dollars) from each plant to each warehouse are as follows:Warehouse Plant 12Capacity 1 4 7 450 2 8 5 600 3 5 6 380Customer demand and shipping costs per unit (in dollars) from each warehouse to each customer areCustomer Warehouse 1234 1 6484 2 3677 Demand 300 300 300 400a. Develop a network representation of this problem. b. Formulate a linear programming model of the problem. c. Solve the linear program to determine the optimal shipping plan.