ch6.. only need A & C thank you for your help!!

Klein Chemicalc, Inc, produces a special oifbased material that is currently in short sopply, four of kicin's customers have aiready placed orders that togerher exceed the combined cepacity of Klein's two plants. Ksein's management faces the problem of deciding how many units it should supply to each customer. Because the four custamers are in different industries, different prices can be charged because of the various industry pricing structures. However, shightly different production costs at the two piants and varying transportation costs between the plants and customers make a "sell to the highest bidder" strategy unacceptable, After considering price, production costs, and transportabion costs, Klein established the following profit per unit for each plant-customer aftemative. The plant capscities and cuttomer orders are as fellows. (ii) linear progransming formulation Let xy = number of units i shipped to cilent y, using the indices from the qeven table. fit may be necessary to combine piants or distributors is a single node in order to solve this problem. Use index number 5 for this type of node. Enter 'DNE' in awy unused answer Blanks.) orders from Damille Orders trum/ler Dummy Node Orders for Dt Drders for D2 oiders for D1 Orisers for D4 xy of for all 6, (b) How many units should each plant produce for each oustomer to maximite profits? Optimal Solution c) Which customer demands wili not be met? Distributer 1 will have a shortfall of Disthibutor 2 will have a shortfoll of Distributor 3 wil have a shortfali of Dibtrgutor 4 wii have al shortall of