d P1 Farmer Problem Optimization Home Insert Page Layout Formulas Data Review View .. Merge & Cert", $-5 , .: Condtion PROBLEM 1 Optimization (50 points) a A local farmer, Jerry Glover, operates a 1200-acre irrigated farm in rural Water District No. 6. District Authority has just given its water allotments for the next year (Jerry was alloted 2000 acre-feet) and Jerry is busy preparing his production plan for next year His problem is that of deciding what to grow, alfalfa, com or soy beans or a combination of those Ore ton of alfalfa takes o 35 acres of land, o 75 acrert of water and will bring an expected profit of $24 One ton of corn takes 0.2 acres of land 0.90 acrevt of water and nets $20. One ton of soy beans takes 0.3 acres of land, 0.8 acreft of water and nets $28. e Formulate Jerry's production problem as the linear programming optimization problem: Answer the following questions and DEFEND YOUR ANSWERS altaalfa corn Soy 4 land 0.35 0.75 $24.00 $20.00 $28.00 0.8 s nets 00 09 a) What is the best solution for Jerry? How much is his profit? b) if the profit of com increase to $30 per ton will Jerry produce any com? Is the overall profit going to change? Explain. c) t orly 1000 acres of land was available would his proft remain the same? Explain s d) Jerry has apton of increasing his allotted 2000 acre-feet to 2200 acre-feet at a price of $33 per acro-feet. Is this profitable? Explain. 2 3 4 5 caps lock