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## A farmer finds that if she plants 55 trees per acre, each tree will yield 25 bushels of fruit. She estimates that for each additional tree p

Question

A farmer finds that if she plants 55 trees per acre, each tree will yield 25 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 4 bushels. How many trees should she plant per acre to maximize her harvest

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Mathematics
3 years
2021-08-26T01:38:10+00:00
2021-08-26T01:38:10+00:00 1 Answers
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## Answers ( )

Answer:31 trees per acre will maximize the harvest

Step-by-step explanation:Giventrees/acre

bushels

RequiredNumber of trees to maximize harvest

From the question, we understand that:Yield will decrease by 4 i.e. 25 – 4x

For every additional tree planted, i.e. 55 + x

So, the function is:Open bracketRewrite as:The maximum of a quadratic function is calculated as:In the above equation:So:Recall that the number of trees to be planted is:55 + xSo, we have:

Approximate