Question

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 1

Given:

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

$R=20x$

The cost C of producing those widgets is given by,

$C=9x+3674$

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

$\begin{gathered} 20x=9x+3674 \\ 20x-9x=3674 \\ 11x=3674 \\ x=\frac{3674}{11}=334 \end{gathered}$

Thus, the number of widgets is 334.

The cost can be calculated as,

$C=9\times334+3674=6680$