<PRE><B>Question 239277</B>
Stephanie, the Team Manager of a soccer team, purchases many soccer balls from a retailer and sells them to all the players at her soccer club at a price of x dollars each. She can sell 600 – 15x balls per week. Find a polynomial that represents the weekly revenue for the balls.
Revenue = (price)(quantity)
R(x) = x(600-15x)
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Find the revenue for a week in which the price is $12 per ball.
R(12) = 12(600-15*12) = 7200 - 180 = $7020
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Use the parabolic graph to illustrate the law of diminishing return, if it occurs in this case.
{{{graph(400,300,-10,40,-10,40,-15x^2+600x)}}} 
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In order for Stephanie to receive the maximum weekly revenue, how would you, as Business Manager, recommend for the price per ball?
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Around $20
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Cheers,
Stan H. 
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