Please go step by step in solver showing formulas. I am completely lost on what to do.

: 8-15 (Agricultural production planning problem) Mar- garet Black's family owns five parcels of farmland, referred to as the southeast sector, north sector, northwest sector, west sector, and southwest sector. Margaret is involved primarily in growing wheat, al- falfa, and barley crops and is currently preparing her production plan for next year. The Pennsylvania Water Authority has just announced its yearly water allot- ment, with the Black farm receiving 7,400 acre-feet. Each parcel can tolerate only a specified amount of irrigation per growing season, as specified in the fol- lowing table: WATER IRRIGATION LIMIT (ACRE-FEET) 3,200 PARCEL Southeast North Northwest West Southwest AREA (ACRES) 2,000 2,300 600 1,100 500 3,400 800 500 600 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: CROP Wheat Alfalfa Barley MAXIMUM SALES 110,000 bushels 1,800 tons 2,200 tons WATER NEEDED PER ACRE (ACRE-FEET) 1.6 2.9 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. Onc acre of land yields an CHAPTER 8 LINEAR PROGRAMMING APPLICATIONS average of 1.5 tons of alfalfa and 2.2 tons of barley. The wheat yield is approximately 50 bushels per acre. (a) Formulate Margaret's production plan. (b) What should the crop plan be, and what profit will it yield? (c) The Water Authority informs Margaret that for a special fee of $6,000 this year, her farm will qualify for an additional allotment of 600 acre- feet of water. How should she respond