Represent the situation as a game and find the optimal strategy for each player. State your final answer in the terms of the original question. A farmer grows apples on her 600-acre farm and must cope with occasional infestations of worms. If she refrains from using pesticides, she can get a premium for "organically grown" produce and her profits per acre increase by $900 if there is no infestation, but they decrease by $400 if there is. If she does use pesticides and there is an infestation, her crop is saved and the resulting apple shortage (since other farms are decimated) raises her profits by $700 per acre. Otherwise, her profits remain at their usual levels. No worms Worms 900 -400 No pesticides Pesticides 700 C1 = C2 = V = 315 How should she divide her farm into a "pesticide-free" zone and a "pesticide-use" zone? (Round your answers to two decimal places.) The farmer should set aside 300 acres for pesticide-free apples and use pesticide on the other 300 acres. What will be her expected increase in profits per acre with this strategy? This strategy will increase her expected profits by $ 1200 per acre.
Represent the situation as a game and find the optimal strategy for each player. State your final answer in the terms of the original question. A farmer grows apples on her 600-acre farm and must cope with occasional infestations of worms. If she refrains from using pesticides, she can get a premium for "organically grown" produce and her profits per acre increase by $900 if there is no infestation, but they decrease by $400 if there is. If she does use pesticides and there is an infestation, her crop is saved and the resulting apple shortage (since other farms are decimated) raises her profits by $700 per acre. Otherwise, her profits remain at their usual levels. No worms Worms 900 -400 No pesticides Pesticides 700 C1 = C2 = V = 315 How should she divide her farm into a "pesticide-free" zone and a "pesticide-use" zone? (Round your answers to two decimal places.) The farmer should set aside 300 acres for pesticide-free apples and use pesticide on the other 300 acres. What will be her expected increase in profits per acre with this strategy? This strategy will increase her expected profits by $ 1200 per acre.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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