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.)
(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)
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.) (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)
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