SOLUTION: A farmer finds that if she plants 80 trees per acre, each tree will yield 65 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree
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Question 1087310: A farmer finds that if she plants 80 trees per acre, each tree will yield 65 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? Answer by ikleyn(52799) (Show Source):
Below I presented the plot of the quadratic function for the total harvest as function of the number of trees per acre.
This quadratic function was built formally based on the given condition
(extrapolated for x >= 80 and for x <= 80, where x is the number of trees per acre).
The maximum is at x ~ = 48.125,
but the condition says NOTHING about the behavior of this function when n (or x) decreases below 80.
Therefore I state that the problem (given as it is formulated) makes no sense.
Plot y =
For solution of similar problem (but correctly formulated !!!) see the link
