The cost,C, of manufacturing and selling s units of a product is C=23x+70, and the corresponding revenue, R, is R=x^2-70. Find the break-even value of x.

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06-02-2015
Mathematics

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The cost,C, of manufacturing and selling s units of a product is C=23x+70, and the corresponding revenue, R, is R=x^2-70. Find the break-even value of x.

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Konrad509idn Konrad509idn · Answer 1 · 2015-02-06T15:38:31-05:00

Konrad509idn Konrad509idn

06-02-2015

[tex]23x+70=x^2-70\\ x^2-23x-140=0\\ x^2+5x-28x-140=0\\ x(x+5)-28(x+5)=0\\ (x-28)(x+5)=0\\ x=28 \vee x=-5[/tex]

x can't be negative so [tex]x=28[/tex]

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