Results 1 to 2 of 2

Math Help - Supply function firm

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    4

    Supply function firm

    Hello, I wasn't sure where to put this so I hope it is alright. My problem is the following: I need to determine the supply function of a firm which has the cost function C(y)= 3y^3-6y^2+4y. I know the MC(y) = 9y^2-12y+4 Normally I would solve MC = P and use the ABC formula on 9y^2-12y+(4-p) but I keep getting the wrong answer. I do have a solution manual(the solution is apparently is y(p) = (2/3)+(1/3*sqrt(p)) but it uses the inverse of the MC function but I have no idea why that is being used and how to calculate said inverse because I normally only use the former method and the manual gives no calculations whatsoever. I hope this is clear enough and that someone can help me clear this up. Barbor
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Sep 2006
    Posts
    77
    No clue what the context is or what the ABC formula does but sounds like you want y asthe subject of:

    9y^2-12y+4 = p

    (3y-2)^2 = p
    3y-2=\pm p
    y=\frac{\pm p+2}{3}

    Assuming there's some reason from context that explains why -p isn't allowed; I'll leave that to you.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: June 12th 2010, 09:58 AM
  2. Supply Demand Function Questions
    Posted in the Algebra Forum
    Replies: 1
    Last Post: February 19th 2010, 03:03 AM
  3. [SOLVED] Supply/Demand function question
    Posted in the Calculus Forum
    Replies: 0
    Last Post: February 15th 2010, 12:26 PM
  4. A question I'm stuck firm on
    Posted in the Calculus Forum
    Replies: 0
    Last Post: April 30th 2008, 10:50 AM
  5. Supply and demand function?
    Posted in the Pre-Calculus Forum
    Replies: 8
    Last Post: April 18th 2008, 09:02 AM

Search Tags


/mathhelpforum @mathhelpforum