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March 26, 2017

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The cost, C, of a manufacturing and selling x units of a product is C = 23x+73, and the corresponding revenue, R, is= x^2-35. Find the break-even value of x?

A. 4
B. 31
C. 31 and 4
D. 27

  • Math - ,

    Break-even point: C = R

    23x + 73 = x^2 - 35

    Set equation equal to 0:

    0 = x^2 - 23x - 108

    Try to factor:

    0 = (x - 27)(x + 4)

    Set each factor equal to 0:

    x - 27 = 0
    x + 4 = 0

    Possible solutions: -4, 27

    Throw out the negative number and you will have your answer!

    I hope this helps.

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