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Math Help - Rational Function Help

  1. #1
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    Rational Function Help

    I have a type of problem that i need some major help on. I am not getting at all how to do this. the problem is....


    It costs a company $30,000 to begin production of a good, plus $3 for every unit of the good produced. Let x be the number of units produced by the company.

    a.) Find a formula for C(x), the total cost for the production of x units of the good.
    b.) Find a formula for the company's average cost per unit, a(x).
    c.) Graph y=a(x) for 0< x <(or equal to) 50,000, 0<(or equal to) y <(or equal to)10.
    d.) Explain in economic terms why the graph of a has the long-run behavior that it does.
    e.) Explain in economic terms why the graph of a has the vertical asymptote that it does.
    f.) Find a formula for a^-1(y). give an economic interpretation of a^-1(y).
    g.) The company makes a profit if the average cost of its good is less than $5 per unit. Find the minimum number of units the company can produce and make a profit.



    Steps to find the answers will be greatly appreciated.

    Thanks,
    alz92
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  2. #2
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    Quote Originally Posted by Alz92 View Post

    a.) Find a formula for C(x), the total cost for the production of x units of the good.
    I would suggest C(x) = 300,000+3x

    does this makes sense?
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  3. #3
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    yes that does make sense. can someone help me with part f of the problem im stuck there
    Last edited by Alz92; May 16th 2010 at 08:08 PM. Reason: knew the meaning
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