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September 30, 2014

September 30, 2014

Posted by **elley** on Tuesday, November 18, 2008 at 10:58pm.

n=(a/x-c)+b(100-x)

where a and b are certain positive constanst. what selling price will bring a maximum profit?

- 12th Calculus -
**drwls**, Tuesday, November 18, 2008 at 11:34pmProfit as a function of x is

P(x) = n (x - c)

= a - cx + 100 bx - bx^2 - cx

Maximum profit occurs when dP/dx = 0

-2c + 100 b = 2xb

x = -c/b + b/50

Check my work.

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