PROBLEM 1 Optimization (50 points) 3 A local farmer, Jerry Glover, operates a 1200-acre imrigated farm in rural Water District No. 6.District 4 Authority has just given its water allotments for the next year (Jerry was allotted 2000 acre-feet) and Jerry 5 is busy preparing his production plan for next year. His problem is that of deciding what to grow 6 com or soy beans or a combination of those. One ton of alfalfa takes 0.35 acres of land, 0.75 acre/ft of 7 water and will bring an expected profit of $24. One ton of com takes 0.2 acres of land, 0.90 acre/t of 8 water and nets $20. One ton of soy beans takes 0.3 acres of land, 0.8 acre/ft of water and nets $28. 10 Formulate Jery's production problem as the linear programming optimization problem 11 Answer the following questions and DEFEND YOUR ANSWERS 0.35 Corn 0.75 alfaalfa 13 14 land 15 water 16 nets 0.2 0.9 0.3 0.8 $24.00 $20.00 $28.00 18 19 a) What is the best solution for Jerry? How much is his profit? 20 21 b) If the profit of com increase to $30 per ton will Jerry produce any com? is the overal profit going to change? Explain, 23 c) If only 1000 acres of land was available wouild his proit remain the same? Explain. has option of increasing his allotted 2000 acre-fet to 2200 acre-feet at a price of $33 per acre-feet. Is this proftable? Explain Decision variables 29 31 Max Profit 32 33 Constraints 34 Alfaalfa 35 Com 36 Soy Sheet1+ ades esc OD FA F5 F1 F2