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Mathematics 22 Online
OpenStudy (lukecrayonz):

:-) More calculus http://gyazo.com/a966dfd3ea5dee63628dcd7e5629c3d1

hartnn (hartnn):

can you draw a diagram and find a function of volume that we will need to maximize ?

OpenStudy (lukecrayonz):

@hartnn v = x (29-2x) (16-2x)?

hartnn (hartnn):

correct! now i think there's no need of figure just differentiate this and equate it =0

hartnn (hartnn):

did you try differentiating ? i suggest you foil to get a cubic polynomial and then differentiate

OpenStudy (lukecrayonz):

@hartnn is it 22.38, 9.38, and 3.31?

OpenStudy (lukecrayonz):

volume is 694.85

OpenStudy (lukecrayonz):

because the other root from the derivative is greater than 8. which would be out of the domain.

hartnn (hartnn):

that is correct! good work :)

OpenStudy (lukecrayonz):

Okay one question. http://gyazo.com/4203b8c511ab4faebf793e0a7e738f1b R(x)+C(x)=P(x) then what?

OpenStudy (lukecrayonz):

Or is it something with the derivatives of r(x) and c(x)? I forget >_<

hartnn (hartnn):

isn't profit, revenue - cost ?

OpenStudy (lukecrayonz):

Oh right, yes.

hartnn (hartnn):

so just maximize -0.5x^2 +55x-10

OpenStudy (lukecrayonz):

-0.5x^2+55x-10

OpenStudy (lukecrayonz):

Oh okay, then do I find the derivative and set it equal to zero for the number of units?

hartnn (hartnn):

yes, exactly

OpenStudy (lukecrayonz):

(55,1502.5)

OpenStudy (lukecrayonz):

So it's $55 for 55 units..?

OpenStudy (lukecrayonz):

I feel like that's not correct. the deriv of it is 55-x though.

OpenStudy (lukecrayonz):

Or is it $1502.50 and 55 units?

hartnn (hartnn):

i think those are correct x is the unit = 55 profit is in $ = $1502.5

OpenStudy (lukecrayonz):

Okay:-) I'll post a new question so I can give you another medal. I also have a question since you're a moderator

hartnn (hartnn):

sure, ask :)

OpenStudy (lukecrayonz):

Whenever I comment on something, it keeps showing that I am typing and I cannot comment again without refreshing the page or going to another question, i'll show you after this comment..

OpenStudy (lukecrayonz):

http://gyazo.com/8ee2dd2588fb43f66c5b6891c28f24a3

hartnn (hartnn):

that either maybe because of the slow internet or slow OS servers....

OpenStudy (lukecrayonz):

It will never go away, it's just weird.

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