Problem 2: The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities and shipping costs per unit (in $) from each plant to each warehouse are as follows. Warehouse Plant Capacity 1 2 1 4 7 450 2 8 5 600 3 5 6 380 Customer demand and shipping costs per unit (in $) from each warehouse to each customer are as follows. I Customer Warehouse 2 3 8 2 7 Demand 430 a) Define the decision variables b) Define the objective function c) Define the constraints d) Determine an optimal solution. 1 6 3 6 300 300 4 7 400