Question 2. Transshipment type problem. You are given the following transshipment problem. The supply is depicted at auto plants 1 and 2, there are two transshipment centers at nodes 3 and 4 and demand is depicted at the three dealers at nodes 5, 6, 7. As you may have noticed, the transshipment centers are connected to each other and cars can be transported from center 3 to center 4 as necessary. Also the dealerships at 5 and 7 can receive cars from dealer 6. The transfer center 3 has a capacity of 1500 autos. The transfer center 4 has a capacity of 1600 autos. The corresponding travel costs are depicted at each roadway link in Figure 1 below: a) 20 points - Formulate the problem as an LP, b) 5 points - Assume that the auto plant one (1) has increased its capability to produce an additional 100 autos to a total of 1500 autos. Show the change in the constraints because of this extra capability of auto plant 1.