A fruit farmer finds that if she plants 50 trees per acre, each tree will yield 75 boxes of fruit per year. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 4 boxes. Let a represent the number of additional trees planted, where the yield is: y = (#trees) (boxes of fruit per tree). . How many total trees should she plant per acre to maximize her harvest? (hint: there could be more or fewer than 50 trees planted to do this) She should plant 34 total boxes of fruit. (Round your answers to the nearest whole number) total trees in each acre to maximize her yield of Number

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.5: Graphing Quadratic Equations
Problem 211E: For the revenue model in Exercise 10.205 and Exercise 10.209, explain what the x-intercepts mean to...
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A fruit farmer finds that if she plants 50 trees per acre, each tree will yield 75 boxes of fruit per
year.
She estimates that for each additional tree planted per acre, the yield of each tree will
decrease by 4 boxes.
Let a represent the number of additional trees planted, where the yield is:
y = (#trees). (boxes of fruit per tree).
How many total trees should she plant per acre to maximize her harvest?
(hint: there could be more or fewer than 50 trees planted to do this)
She should plant 34
total boxes of fruit. (Round your answers to the nearest whole number)
total trees in each acre to maximize her yield of Number
Transcribed Image Text:A fruit farmer finds that if she plants 50 trees per acre, each tree will yield 75 boxes of fruit per year. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 4 boxes. Let a represent the number of additional trees planted, where the yield is: y = (#trees). (boxes of fruit per tree). How many total trees should she plant per acre to maximize her harvest? (hint: there could be more or fewer than 50 trees planted to do this) She should plant 34 total boxes of fruit. (Round your answers to the nearest whole number) total trees in each acre to maximize her yield of Number
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