This is step by step question please. and I\'m stuck 3.6 0/9 BerrApCalcBr7 3.4.0

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This is step by step question please. and I'm stuck

3.6 0/9 BerrApCalcBr7 3.4.007.MI.S This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points skipped part Tutorial Exercise n apple grower finds that if she plants 30 trees per acre, each tree will yield 84 bushels of apples. She also estimates that for each additional tree that she plants per acre, the yield of each tree w bushels. How many trees should she plant per acre to maximize her harvest? ll decrease by 2 Step 1 We need to find the number of trees per acre at which the apple grower will maximize her harvest. To find the total yield of apples, we find the product of the number of trees and the yield per tree. The basic quantity that changes is the number of additional trees planted per acre. We'll call this x. Then, the number of trees per acre t(x) will be the base number plus the additional number. t(x) = Submit (you cannot come back) Submit Answer Save Progress 1/1 points | Previous Answers BerrApCalcBr7 3.6.001 For the equation, use itiplicit differentiation to find dy/dx 7.

Explanation / Answer

let number of trees per acre is t(x)

t(x) = ( 30 + x ) ( 84 - 2x )

t(x) = - 2x^2 + 24 x + 2520

number of trees that will maximize her harvest

t = - 24 / 2 (-2)

t = 6

so, 6 trees will maximize harvest

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