SOLUTION: An orange grower finds that she gets an average yield of 40 bushels per tree when she plants 20 trees on an acre of ground. Each time she adds a tree to an acre, the yield per tree

Question 1043672: An orange grower finds that she gets an average yield of 40 bushels per tree when she plants 20 trees on an acre of ground. Each time she adds a tree to an acre, the yield per tree decreases by 1 bushel, due to congestion. How many trees per acre should she plant for maximum yield?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of trees added to 1 acre
Let = the yield in bushels/acre
------------------------------------------------
[ yield in bushels/acre ] = [ bushels/tree ] x [ trees/acre ]

The n-value of the vertex ( which is a peak )
is given by the formula:
when the equation has the form:

-------------------------
The grower started with tree/acre and adds
more for max yield, so she should plant:
30 trees/acre
----------------------------------
check answer:

Maximum yield is 900 bushels/acre
Here's the plot:

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