A strawberry farmer will receive $36 per bushel of strawberries during the first week of harvesting. Each week after that, the value will drop $0.90 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 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.) how many bushels of strawberries will yield the maximum value?   what is the maximum value of the strawberries in dollars?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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A strawberry farmer will receive $36 per bushel of strawberries during the first week of harvesting. Each week after that, the value will drop $0.90 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 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.)

how many bushels of strawberries will yield the maximum value?

 

what is the maximum value of the strawberries in dollars?

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