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Question 4 George, a farmer in west Victoria, Is determining what crops to grow on his 120-acre land that was recently bought via an auction.
Question 4 George, a farmer in west Victoria, Is determining what crops to grow on his 120-acre land that was recently bought via an auction. There are two crops he is considering: soybean and com. Soybean is more expensive than corn in the market. Specifically, the price for soybean is $9 per bushel and that for corn is $2 per bushel. Based on historical data, the average yield for soybean is 60 bushels per acre and that for corn is 220 bushels per acre. Two key resources used to grow a crop are labor and machine (e_g., harvesters). For simplicity, we consider the following resource requirements: An acre of soybean requires 2 units of labor while an acre of corn requires 3 units of labor. For the machine requirement, an acre of soybean requires 40 hours of machine time while an acre of corn requires 30 hours of machine time. George has secured 350 units of labor and 3,800 hours of machine time. George's alm is to maximize his total revenue by choosing the optimal area of land on which to grow each of corn and soybean. Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $8$16 20 7 46 66866867 100 EC$16 7 100 0 ? 100 35 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $8421 land use ? 140 ? 1.656686867 25 $8422 labor 0 18+30 10 $8423 machine 10 1000 100
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