Suppose that the cost to a manufacturer of producing x units of a certain motorcycle is given by C(x)= 220x+4000 where C(x) is in dollars.

a) find the marginal cost
B) find the cost of producing 500 motorcycles
C) Use your answer in parts a and B to find the cost of producing 501 motorcycles.

Question

Suppose that the cost to a manufacturer of producing x units of a certain motorcycle is given by C(x)= 220x+4000 where C(x) is in dollars. 

a) find the marginal cost
B) find the cost of producing 500 motorcycles
C) Use your answer in parts a and B to find the cost of producing 501 motorcycles.

hero · Answer

If I could have a dollar everytime I saw this question

anonymous · Answer

b. plug in 500 for x
a  derivative of C x
= 220

Hero, I was thinking the same thing earlier today - they should have a buddy system going on

hero · Answer

A buddy system? What would that consist of?

hero · Answer

I need a buddy to go behind me and check my answers for mistakes.

anonymous · Answer

did i make a mistake

hero · Answer

I didn't say you did, however, I don't think this is necessary to be solved using derivatives. I doubt if Danyel even knows what derivatives are.

anonymous · Answer

quickest way to get marginal is via derivatives

anonymous · Answer

$$220(500)+4000$$$$110000+4000$$

anonymous · Answer

Is this it so far.

anonymous · Answer

yes for B

hero · Answer

Danyel, are you taking calculus?

anonymous · Answer

pre calc

anonymous · Answer

:) stop trying to rack up my good deed medals :)

hero · Answer

Which means you haven't studied derivatives yet

hero · Answer

I'm more interested in this buddy system idea of yours.

anonymous · Answer

its ok I just need to understand how to do this at the pre cal level.

anonymous · Answer

sn -

anonymous · Answer

howdid you get 220?

hero · Answer

Danyel, don't you have a formula for FC, VC, or TC?

anonymous · Answer

no

anonymous · Answer

not seen that yet

hero · Answer

I already know what you're working on. You're working on a multi-step question and this is one of several things you're working on. The best thing to do is just post the entire document so that I can decipher it and explain to you how to derive the marginal cost using pre-calc methods.

anonymous · Answer

the question that is in the book is what I have posted. This is all it says.

anonymous · Answer

I just wanted to know the first step I figured out the rest of the question but I just wanted to know how she came up with the 220.

anonymous · Answer

The 220 just comes from the question?

anonymous · Answer

Basically this is a simple derivative (only one I know :))
since 220x is only term with variable - drop the x

all other constants go to 0

anonymous · Answer

ok that is what I needed to know thank you so much

anonymous · Answer

you are welcome

anonymous · Answer

I like it when it is simple

anonymous · Answer

very :)