Refer to Problem 17. Suppose that shipments between the two warehouses are permitted at $2 per unit and that direct shipments can be made from plant 3 to customer 4 at a cost of $7 per unit.
a. Develop a network representation of this problem.
b. Formulate a linear programming model of this problem.
c. Solve the linear program to determine the optimal shipping plan.
Text Book: An Introduction to Management Science: Quantitative Approaches to Decision. By David Anderson, Dennis Sweeney, Thomas Williams, Jeffrey Camm, James Cochran.