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Math Help - Linear Cosrt Functions

  1. #1
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    Linear Cosrt Functions

    **cost
    Could someone break this down Barney style for me?

    The manager of a frozen Air Referigerator factory notices that on Monday it costs the company a total of $25,000 to build 30 referigerators and on Tuesday ot cost $30,000 to build 40 referigerators.

    (a) Find a linear cost function based on this information

    when I think linear cost function i want to put it in this form
    c(x) = marginal cost(x) + Fixed cost

    soo.. do I multiply 25000*30=750,000
    then... 30,000*40=1,200,000

    then i get stuck!

    (b) What is the daily fixed cost?
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  2. #2
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    Quote Originally Posted by johnewton View Post
    **cost
    Could someone break this down Barney style for me?

    The manager of a frozen Air Referigerator factory notices that on Monday it costs the company a total of $25,000 to build 30 referigerators and on Tuesday ot cost $30,000 to build 40 referigerators.

    (a) Find a linear cost function based on this information

    when I think linear cost function i want to put it in this form
    c(x) = marginal cost(x) + Fixed cost

    soo.. do I multiply 25000*30=750,000
    then... 30,000*40=1,200,000

    then i get stuck!

    (b) What is the daily fixed cost?
    two points ... (x, c(x))

    (30, 25000) and (40, 30000)

    slope ... m = \frac{30000 - 25000}{40 - 30} = 500

    point-slope form ...

    c(x) - 25000 = 500(x - 30)

    c(x) = 500x + 10000

    fixed cost = 10000
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