A strawberry farmer will receive $30 per bushel of strawberries during the first week ofharvesting. Each week after that, the value will drop $0.80 per bushel. The farmer estimatesthat there are approximately 120 bushels of strawberries in the fields, and that the crop isincreasing at a rate of 4 bushels per week. When should the farmer harvest the strawberries tomaximize their value? How many bushels of strawberries will yield the maximum value? Whatis the maximum value of the strawberries?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.CR: Review Problem Set
Problem 50CR
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A strawberry farmer will receive $30 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 120 bushels of strawberries in the fields, and that the crop is
increasing at a rate of 4 bushels per week. When should the farmer harvest the strawberries to
maximize their value? How many bushels of strawberries will yield the maximum value? What
is the maximum value of the strawberries?

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