At a certain vineyard it is found that each grape vine produces about 10 lbs of grapes in a season when about 500 vines are planted per acre. for each additional vine that is planted, the production of each vine decreases by 1 percent. So the number of pounds of grapes produced per acre is modeled by: A(n)= (500+n)(10-0.01n) where n is the number of additional vines planted. Find the number of vines that shold be planted to maximize grape production.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 44PPS
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At a certain vineyard it is found that each grape vine produces about 10 lbs of grapes in a season when about 500 vines are planted per acre. for each additional vine that is planted, the production of each vine decreases by 1 percent. So the number of pounds of grapes produced per acre is modeled by: A(n)= (500+n)(10-0.01n)

where n is the number of additional vines planted. Find the number of vines that shold be planted to maximize grape production.

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