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| Teaching Since: | May 2017 |
| Last Sign in: | 408 Weeks Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
2-15. A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The approximate relationship between price and demand is
Â
|
p = $38 + |
2,700 |
− |
5,000 |
, for D > 1, |
|
D |
D2 |
where p is the price per unit in dollars and D is the demand per month. The company is seeking to maximize its profit. The fixed cost is $1,000 per month and the variable cost (cv) is $40 per unit. (2.2)
Â
          What is the number of units that should be produced and sold each month to maximize profit?
Â
          Show that your answer to Part (a) maximizes profit.
Â
2-16. An electric power plant uses solid waste for  fuel  in  the  production  of  electricity.  The cost Y in dollars per hour to produce electricity is
Y = 12 + 0.3X + 0.27 X2 , where X is in megawatts. Revenue in dollars per hour from the sale of electricity
Â
is 15X −0.2X2 . Find the value of X that gives maximum profit. (2.2)
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