Refer to the Contois Carpets problem, for which the network

Refer to the Contois Carpets problem, for which the network representation is shown in Figure. Suppose that Contois has a beginning inventory of 50 yards of carpet and requires an inventory of 100 yards at the end of quarter 4.,a. Develop a network representation of this modified problem.,b. Develop a linear programming model and solve for the optimal solution.,Figure ,NETWORK REPRESENTATION OF THE CONTOIS CARPETSPROBLEM