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A grower estimates that if she picks her apple crop now, she will obtain 1,000 boxes of apples, which she can sell at $3 a

A grower estimates that if she picks her apple crop now, she will obtain 1,000 boxes of apples, which she can sell at $3 a box. However, she thinks her crop will increase by 120 boxes of apples for which week she delays picking but that the price will drop at a rate of 14c a box per week; in addition, she estimates approximately 20 boxes a week will spoil for each week she delays picking. When should she pick her crop to obtain the largest total cash return? How much will she receive for her crop at that time?

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