Question

Please help!! =D
a) At what level of production will the marginal cost be minimized?
b) At what level of production will the average cost A(x)=C(x)/x be minimized?
C(x)= x^(3)-24x^(2)+192x+338

Answer 1

In both instances, you're looking for critical points. Do you know how to find these?

Answer 2

I have an example and not sure how they got the answer.

Answer 3

Well, in part a your answer will be based on the deriviative of C(x). If you're not familiar with derivatives yet, then I can give you some rules.

Answer 4

Yes, I can find the first part which is 8. And I get through the second part until the equation. You want me to show which part.?

Answer 5

Yeah

Answer 6

f(x)= 2x^(3)-12x^(2)-338

Answer 7

If the average cost is C(x)/x, shouldn't you divide C(x) by x?

Answer 8

Yep! That is the part that i confused on. Hold on. let me go back

Answer 9

So, x inn this case will be 8?

Answer 10

Not sure!! can you explain that to me? please!

Answer 11

8 is the answer for part a, but if I'm right about the equation for b, then you need to set the derivative of that equation equal to zero, just as you did in a

Answer 12

I did everything and i got 6. but the answer was 13. Still don't get it...

Answer 13

@jim_thompson5910 help me if you are not busy, please. :)

Answer 14

hmm not sure on this one, seems like something is missing

Answer 15

Really?

Answer 16

I graphed C(x)/x and got a hyperbola...which means that it has no minimum, so there has to be restrictions somewhere

Answer 17

Ohh waoo!!

Answer 18

Can we try another one?

Answer 19

sure

Answer 20

C(x)= x^(3)-30x^(2)+300x+512

Thanks!

Answer 21

That one already start it and i got 10. which is correct but the second part is where i am lost.

Answer 22

Not sure what you mean when you say "i got 10". How did you get it? What exactly is it asking you to do here?

Answer 23

a) At what level of production will the marginal cost be minimized?
I started yesterday

Answer 24

C(x)= x^(3)-30x^(2)+300x+512

is the cost function, so the marginal cost function is

C'(x) = 3x^2 - 60x + 300

Answer 25

The min of that function will occur at the vertex

Answer 26

3(x-10)^2=0

Answer 27

good

Answer 28

so the vertex is at (10,0) which means that the min is y = 0

Answer 29

Ok!

Answer 30

How do i find it the b) part??.

Answer 31

i'm not 100% sure...i'm getting another hyperbola when I graph C(x)/x

Answer 32

No idea on what I am doing, why the answer is 16?

Answer 33

ok.

Answer 34

There must be a domain somewhere...that's my guess