1. Integer Programming (25 pts.) Bread Co. has three mills (plants) to make flour from wheat. The company decides to purchase farms and grow its own wheat needed. Each farm's purchase price and annual wheat growing capacity is given. Annual demand for wheat at each of the three plants (A, B and C) is determined. The demand at the plants must be satisfied. The shipping cost/ton between the farms and three plants are also listed below. Farms 2 and 5 belong to the same person and are sold together. (If you buy farm 2, you have to buy farm 5 and vice versa). Develop a mathematical model to solve this problem. (Find out whether or not to buy each farm and how much wheat to ship from each farm to each plant). State your decision variables and their explanations clearly and write down your model Farms 1 2 3 Purchase Price Projected (1000$) Annual Harvest (tons, 1000s) 450 12.2 309 11.5 405 13.8 386 10.3 502 11.8 456 10.6 4 5 6 Plant Annual demand (tons, 1000s) 14 12 16 A B lol Farm 1 2 3 4 5 6 A 20 15 18 21 Plant ($/ton) B 17 14 12 19 16 20 17 18 21 14 18 14 19 16