<PRE><B>Question 184126</B>
An orange grower finds that she gets a yield of 40 bushels of oranges per tree when she plants 20 trees on an acre of ground. However, the yield decreases by 1 bushel per tree for each additional tree she plants on the acre due to crowding. How many trees should she plant per acre to maximize her yield?
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Yield = (# of trees)(# of bushels)
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Y(x) = (20 + x)(40-x)
Y(x) = 800 +20x-x^2
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The maximum yield occurs when x = -b/2a = -20/(2*-1) = 10
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Number of trees should be 20+x = 30
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Cheers,
Stan H.</PRE>