Problem 10-11 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 1 2 Plant 1 2. 3 4 8 5 7 5 6 Capacity 450 600 380 Customer Warehouse 2 3 4 1 6 3 300 4 6 8 7 4 7 Demand 300 300 400 Customer demand and shipping costs per unit (in $) from each warehouse to each customer are as follows: a. Choose the correct network representation of this problem. (0) (i) C1 Supply 450 1 P1 450 P1 4 1 1 8 4 600 2 P2 600 2 P2 5 3 W2 380 P3 380 3 w P3 (iii) (iv) Demand 300 C1 300 C1 Supply 4 450 1 P1 6 4 4 1 W1 300 8 5 C2 7 300 600 2 P2 4 6 5 2 W2 300 C3 300 3 380 P3 0 6 400 C4 400 C4 b. Formulate a linear programming model of the problem. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. Let Xij represents relation between plants to warehouses or relation between warehouses to customers. |X14+|| X15+ X25+ X34+ X35+ X46+ X47+ MIN X48+ X24+ X57+ X49+ X56+ X58+ X59 S.T. 1) X14 + X15 2) X24 + X25