A1 !! PROBLEM! Optimization (50 points) PROBLEM 1 Optimization (50 points) 3 A local farmer, Jerry Glover, operates a 1200-acre irrigated farm in rural Water District No. 6. Distric 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, alfalfa, 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 an expected profit of $24. One ton of corn 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 Jerry's production problem as the linear programming optimization problem: 11 Answer the following questions and DEFEND YOUR ANSWERS 12 13 14 land 15 water 16 nets alfaalfa so 03 corn 0.35 0.75 0.9 0.8 $24.00 $20.00 $28.00 17 18 19 a) What is the best solution for Jerry? How much is his profit? 20 21 b f the profit of com increase to $30 per ton will lery produce any com? ts the overall proft going to change? Explain. 23 c) If only 1000 acres of land was available would his proft remain the same? Explain. 25 ) Jerry has option of increasing his allotted 2000 acre-feet to 2200 acre-feet at a price of $33 per acre-feet Is this profitable? Explain 24 26 27 28 29 30 31 32 37 39