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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.

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 her500-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$500if there is no infestation, but they decrease by$200if 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$300per acre. Otherwise, her profits remain at their usual levels.

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