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.)

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Expert Answer

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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Hence The total cost in the t no. of week = x XP (1204t)34 - 0.7t) -2.8t2 52t + 4080 => R(t)

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