Posted by linda on Sunday, November 14, 2010 at 12:54am.
A band can sell 80 CDs at concert if they sell the Cds for $12 each. For every $1 increase in the price, they will sell 5 fewer Cds. Determine the price for a CD that will maximize the band's revenue.

inter Algebra  drwls, Sunday, November 14, 2010 at 8:29am
Let x be the price.
The number sold is
N = 80  5(x 12)= 140 5x.
The revenue is 140x 5x^2 dollars.
Try completing the square, since you probably don't know how to use differential calculus yet. Maximum revenue ($980) is at a price where
140  10x = 0
x = $14
At a price of $13 or $15, the revenue is $975.

inter Algebra  linda, Sunday, November 14, 2010 at 12:01pm
is $14 by completing the square
Answer This Question
Related Questions
 COLLEAGE ALEGEBRA  QUES # 1 a STARTUP COMPUTER CAN SELL 1000 COMPUTERS IF THEY ...
 prealgebra  A band will cell CDs of their music at their concert for $5.00 ...
 Algebra 1  The manager of a band recommends that the band sell its CDs for $8....
 algebra1  juan's band produced a number of CDs to sell at a gig.the batch of ...
 Math  A vendor at a concert sells new and used CDs. The new CDs cost 2.5 times ...
 math  A vendor at a concert sells new and used CDs. The new CDs cost 2.5 times ...
 inter Algebra  A startup company can sell 1000 computers if they price them at...
 inter Algebra  A start up computer company can sell 1000 computers if they ...
 Microeconomics  Indicate how you think each of the following would shift demand...
 Math  Tell whose CD collection has the greater ratio of rock CDs to total CDs. ...
More Related Questions