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November 22nd, 2014, 03:02 AM   #1
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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?
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November 22nd, 2014, 06:26 AM   #2
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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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