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A strawberry farmer will receive $37 per bushel of strawberries during the first week of harvesting....

A strawberry farmer will receive $37 per bushel of strawberries during the first week of harvesting. Each week after that, the value will drop $0.80 per bushel. The farmer estimates that there are approximately 129 bushels of strawberries in the fields, and that the crop is increasing at a rate of four bushels per week. When should the farmer harvest the strawberries (in weeks) to maximize their value? (Assume that "during the first week of harvesting" here means week 1.)

weeks

How many bushels of strawberries will yield the maximum value?

bushels

What is the maximum value of the strawberries (in dollars)?

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