Question

What is the break even point? How may I find this?

Answer 1

Given:

$\begin{gathered} C=36x+200 \\ R=76x \end{gathered}$

Where: C is the cost, R is the revenue

To find the break-even point: R = C

So,

$76x=36x+200$

Solve the equation to find (x):

$\begin{gathered} 76x-36x=200 \\ 40x=200 \\ x=\frac{200}{40}=5 \end{gathered}$

substitute with (x) into R:

$R=76\cdot5=380$

so, the answer will be:

The break-even point = (5, 380)