October 11th, 2015, 05:16 AM  #1 
Member Joined: Aug 2015 From: Podgorica Posts: 61 Thanks: 0  Algebra
A computer salesman finds that if he sells n computers, he can make a profit of $(2004n) per computer. How many computers should he sell in order to maximize his profit? result: 25 Last edited by med1student; October 11th, 2015 at 05:47 AM. 
October 11th, 2015, 05:29 AM  #2 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
If he sells n computers at \$(200  4n) profit per computer, he makes \$n(200  4n)= \$(200n  4n^2). That is a quadratic function. Its graph is a parabola opening downward and the maximum value is at the vertex. Complete the square to find where the vertex of the graph is.
Last edited by skipjack; October 11th, 2015 at 05:52 AM. 
October 11th, 2015, 05:58 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,966 Thanks: 2215 
The nintercepts of the parabola occur for n = 0 and n = 50, so its vertex has n = 25.


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