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November 22nd, 2014, 03:02 AM  #1 
Newbie Joined: Nov 2014 From: ac Posts: 1 Thanks: 0  A manufacturer can produce daily x items at a cost of C dollars
c(x)=15+10x+0.1x^2+0.01x^3 If the items are sold at $15 each, how many must be produced each day if the profit is to be as great as possible? 
November 22nd, 2014, 06:26 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 3,044 Thanks: 1627 
profit = revenue  cost $\displaystyle P(x) = 15x(15+10x+0.1x^2+0.01x^3)$ $\displaystyle P(x) = 15 + 5x  0.1x^2  0.01x^3$ find $\displaystyle P'(x)$ and maximize ... 

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