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.

Question
Asked Mar 27, 2019
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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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Expert Answer

Step 1

To find the number of vines that should be planted to maximize grape production.

Step 2

The number of pounds of grapes produced per acre is modelled by the equation A (n) = (500+n) (10–0.01n).

Here n represents the number of additional vines planted.

 

Step 3

Obtain the number of vines that should be planted ...

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