(a) Below, in Figure 2.44, you are given the information for a transportation problem. This problem is partially solved. Solve this problem to optimality. Compute the total cost of the solution and...

(a) Below, in Figure 2.44, you are given the information for a transportation problem. This problem is partially solved. Solve this problem to optimality. Compute the total cost of the solution and show it next to the final tableau.

(b) Based on the optimal solution you obtained in part (a), what would the impact be on (1) the total cost and (2) the optimal flow pattern of a 5-unit increase in the demand at demand node 2 coupled with a 5-unit decrease in the demand at demand node 3?

(c) Can you use the information in the optimal solution to predict the impact of a 40-unit decrease in the supply at supply node 3 coupled

with a 40-unit increase in the supply at supply node 1? If so, give the new cost and the new flows. If not, briefly explain why not.