Question 239277: Can someone please help me with this? I need to have it done before tomorrow. Thanks in advance.
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. Find the revenue for a week in which the price is $12 per ball. Use the parabolic graph to illustrate the law of diminishing return, if it occurs in this case. In order for Stephanie to receive the maximum weekly revenue, how would you, as Business Manager, recommend for the price per ball?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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.
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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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