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MathHelpNeeded
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$1.00 Revenue Maximization

  • From Mathematics: Calculus
  • Closed, but you can still post tutorials
  • Due on May. 05, 2008
  • Asked on May 02, 2008 at 8:25:00PM
Q:
Jim decides to buy an apartment complex with 80 apartments, and he is trying to decide on the rent to charge. He finds out through research and experience that at a rent of $200 per month, all of the units will be full. However, for every $10 increase in rent, one additional apartment will be vacant. At what price should Jim use to maximize revenue?
 


   
   
   
   
 
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Posted by:
sudipta
sudipta
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$3.00 Answered

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  • Posted on May 02, 2008 at 9:32:41PM
A:
Preview: ... is a maximum or a minimum, we apply the following rule of thumb:<br>If d2R/dN2 < 0, then the function has a maximum.<br>If d2R/dN2 > 0, then the functi ...

The full tutorial is about 135 words long .
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imhotep09
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$5.00 Revenue Maximization Solution

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  • Posted on May 05, 2008 at 9:39:45PM
A:
Preview: ... nd curve is determined to be P = 1,000 - 10Q. This yields a total revenue curve of TR = 1,000Q - 10Q2 . Taking the derivative of the TR curve with respect to quantity yields the marginal revenue curve: MR = 1,000 - 20Q. The maximum (or minimum) is determined by setting the MR to zero and solving fo ...

The full tutorial is about 268 words long .
   
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