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CalculusQ&A LibraryA strawberry farmer will receive $34 per bushel of strawberries during the first week of harvesting. Each week after that, the value will drop $0.70 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 to maximize their value? (Assume that "during the first week of harvesting" here means week 1.)Question

Asked Oct 2, 2019

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A strawberry farmer will receive $34 per bushel of strawberries during the first week of harvesting. Each week after that, the value will drop $0.70 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 to maximize their value? (Assume that "during the first week of harvesting" here means week 1.)

Step 1

We are given that a strawberry farmer will receive $34 per bushel of strawberries during the first week of harvesting. Each week after that, the value will drop $0.70 per bushel.

Let t be the number of weeks.

So, the formula for the price is given by, P = 34 – 0.7t.

Step 2

Again, the farmer estimates that there are approximately 120 bushels of strawberries in the fields and that the crop is increas...

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