Question 417894
An orchard contains 30 apple trees, each of which yields approximately 400 apples over the growing season.
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The owner plans to add more trees, but the guys at Texas A&M advise that because of crowding, each new tree will reduce the average yield per tree by about 10 apples over the growing season.
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How many trees should be added to maximize the total yield of apples, and what is the maximum yield? 
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Total yield = [(30+x) trees][(400-10x)apples]
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TY = 30*400 - 300x+400x - 10x^2
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TY = -x^2+10x+1200
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Max occurs when x = -b/(2a) = -10/(2*-1) = 5 trees (# of trees to add)
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TY(5) = -5^2+10*5 + 1200 = 1225
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Cheers,
stan H.
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