Only part A & B

(a) Formulate a linear program to choose an optimal shipping plan. (b) Use class optimization software to compute an optimal solution to your LP. (c) Show that your LP can be represented as a minimum cost transportation problem by sketching the corresponding bipartite digraph and labeling as in Exercise 10-1. 10-32 Maize Mills has 800 thousand, 740 thousand, and 460 thousand bushels of corn stored at its three rural elevators. Its three processing plants will soon require 220 thousand, 1060 thousand, and 720 thousand respectively, to make cornstarch. The following table shows the cost per thousand bushels of shipping from each elevator to each plant. Maize wants to move its corn to plants at minimum total shipping cost