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
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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
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[ 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:
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The grower started with tree/acre and adds
more for max yield, so she should plant:
30 trees/acre
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check answer:
Maximum yield is 900 bushels/acre
Here's the plot:
