An fruit grower knows from previous experience and careful data analysis that if the fruit on a specific kind of tree is harvested at this time of year, each tree will yield, on average, 127 pounds, and will sell for $4.6 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 2.1 pounds, while the price per pound will decrease by $0.07. A) How many weeks should the grower wait before harvesting the apples in order to maximize the sales revenue per tree? (Round your answer to the nearest tenth of a week.)
An fruit grower knows from previous experience and careful data analysis that if the fruit on a specific kind of tree is harvested at this time of year, each tree will yield, on average, 127 pounds, and will sell for $4.6 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 2.1 pounds, while the price per pound will decrease by $0.07.
A) How many weeks should the grower wait before harvesting the apples in order to maximize the sales revenue per tree? (Round your answer to the nearest tenth of a week.)
Answer: __________ (rounded to the nearest tenth)
B) Use your answer in part A to find the actual maximum revenue that can be expected. (Round your answer to the nearest dollar.)
Answer: ____________ dollars (rounded to the nearest dollar)
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