Consider a transshipment problem consisting of four origin nodes, two transshipment nodes, and three destination nodes. The supplies at the origin nodes and the demands at the destination nodes are as follows: Origin Supply Destination 1 400 1 2 350 2 3 250 3 4 200 Demand 300 500 400 The shipping costs per unit ($) are provided in the following table. To Transshipment node Destination node From a b A B C Origin 1 8 8 node 2 4 12 3 7 5 4 5 6 Transship- 1 5 8 4 ment node 2 4 11 7 (a) Draw the network representation of this problem, i.e. represent each node by a circle with node number inside and each shipment route as an arrow with the cost of shipping one unit attached. (b) Formulate the appropriate linear programming problem. Do not solve this probem