The cost (in dollars) of producing x units of a product is given by C=3.6√x +500 find the additional cost when the production increases from 9 to 10 units
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OpenStudy (anonymous):
First evaluate the function at x=9
Then evaluate the function at x=10
Finally subtract the value you get at x=9 from the value you get at x=10
OpenStudy (anonymous):
yes it is
OpenStudy (anonymous):
don't leave me yet. there's two more parts to it and im not sure if i will understand them
OpenStudy (anonymous):
C(10)-C(9), you should get: 0.584
OpenStudy (anonymous):
okay
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OpenStudy (anonymous):
find the marginal cost when x=9
that means take the derivative of C then put in 9 right?
OpenStudy (anonymous):
oh man you are smart
OpenStudy (anonymous):
that is exactly what it means
OpenStudy (anonymous):
what is your answer, i will verify
OpenStudy (anonymous):
16.2
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OpenStudy (anonymous):
oh
OpenStudy (radar):
We are waiting, I got something that I want verification. However I am thinking that the cost must of been in thousand of dollars.
OpenStudy (radar):
I got .6 ??
OpenStudy (anonymous):
The derivative of the Cost function you are given is: 1.8/sqrt(x)
OpenStudy (anonymous):
When you plug in 9 should get: 0.60
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OpenStudy (anonymous):
i forgot to add the exponent on my x.
OpenStudy (anonymous):
next question
OpenStudy (anonymous):
the next part just wants me to compare them. so that part i know i can do :)