Problem 3: = Consider a network with 2 types of nodes: 1 = {1,2,3,4,5} and ) = {A,B,CH. Nodes 1, 2, and 5 can ship to node B. Nodes 2 and 4 can ship to node A. Nodes 2, 3, and 5 can ship to node C. The unit shipping cost for each arc in the arc set, A is Cij, Vi,j) E A. The supply at nodes 1, 2, and 3 is 50 units. The supply at nodes 4 and 5 are 75 units. The demand is given as dj, Vj EJ. a) Draw the network. b) Formulate this transportation problem as a linear program. Problem 3: = Consider a network with 2 types of nodes: 1 = {1,2,3,4,5} and ) = {A,B,CH. Nodes 1, 2, and 5 can ship to node B. Nodes 2 and 4 can ship to node A. Nodes 2, 3, and 5 can ship to node C. The unit shipping cost for each arc in the arc set, A is Cij, Vi,j) E A. The supply at nodes 1, 2, and 3 is 50 units. The supply at nodes 4 and 5 are 75 units. The demand is given as dj, Vj EJ. a) Draw the network. b) Formulate this transportation problem as a linear program