QUESTION 4 Margaret Mulenga's family owns five parcels of farmland broken into a southeast sector, north sector, northwest sector, west sector, and southwest sector. Margaret is involved primarily in growing wheat, alfalfa, and barley crops and is currently preparing her production plan for next year. The Zambia Water Authority has just announced its yearly water allotment, with the Mulenga farm receiving 7,400 acre-feet. Each parcel can only tolerate a specified amount of imigation per growing season, as specified in the following table: Graduate School of Business Examinations WATER IRRIGATION LIMIT PARCEL Southeast AREA (ACRES) (ACRE-FEET) 2,000 3,200 North 2,300 3,400 Northwest 600 800 West 1,100 500 500 600 Southwest Each of Margaret's crops needs a minimum amount of water per acre, and there is a projected limit on sales of each crop. Crop data follow: WATER NEEDED PER ACRE CROP MAXIMUM SALES (ACRE-FEET) Wheat 110,000 bushels 1.6 Alfalfa 1,800 tons 2.9 Barley 2,200 tons 3.5 Margaret's best estimate is that she can sell wheat at a net profit of $2 per bushel, alfalfa at $40 per ton, and barley at $50 per ton. One acre of land yields an average of 1.5 tons of alfalfa and 2.2 tons of barley. The wheat yield is approximately 50 bushels per acre. a) Formulate this LP production mix situation to find the best combination of crops that yields the highest profit (Margaret's production plan).