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The revenue R from selling x number of phone widgets is given by R 20x, and the cost C of producing those widgets is given by C = 9x + 3674. Find the number of widgets it requires to break even. It requires widgets to break even (NO COMMAS). It would costs dollars to produce that many widgets (NO COMMAS). Hint: The break even point is when R = C

Answer :

Given:

The revenue R from selling x number of phone widgets is given by,

[tex]R=20x[/tex]

The cost C of producing those widgets is given by,

[tex]C=9x+3674[/tex]

The break even point is when R = C​. Therefore, we have,

[tex]\begin{gathered} 20x=9x+3674 \\ 20x-9x=3674 \\ 11x=3674 \\ x=\frac{3674}{11}=334 \end{gathered}[/tex]

Thus, the number of widgets is 334.

The cost can be calculated as,

[tex]C=9\times334+3674=6680[/tex]

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