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, 130 pounds, and will sell for $5.2 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 1.7 pounds, while the price per pound will decrease by $0.06. 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.) (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.) dollars (rounded to the nearest Answer: Answer: dollar)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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, 130 pounds, and will sell for $5.2 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 1.7 pounds, while the price per pound will decrease by $0.06.

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)
Transcribed Image Text: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, 130 pounds, and will sell for $5.2 per pound. However, for each additional week the harvest is delayed (up to a point), the yield per tree will increase by 1.7 pounds, while the price per pound will decrease by $0.06. 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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