My Math Forum A manufacturer can produce daily x items at a cost of C dollars

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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 ... Thanks from szz

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