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March 29, 2015

March 29, 2015

Posted by **Sarah** on Sunday, April 11, 2010 at 2:54pm.

1.Find the total profit function

2. what happens to the total amount of profit in the long run?

- Calculus -
**Damon**, Sunday, April 11, 2010 at 3:15pmdp/dt = t e^-t^2

if p = c - .5e^-t^2

p' = t e^-t^2 =

when t = 3

10,000 = c - .5e^-9

c = 10,000 + .5 e^-9

c = 10,000 + .0000617

so

p = 10,000 - .5/ e^(t^2) essentially

It becomes 10,000 as t---> oo

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