Respuesta :

Given:

[tex]\begin{gathered} C=36x+200 \\ R=76x \end{gathered}[/tex]

Where: C is the cost, R is the revenue

To find the break-even point: R = C

So,

[tex]76x=36x+200[/tex]

Solve the equation to find (x):

[tex]\begin{gathered} 76x-36x=200 \\ 40x=200 \\ x=\frac{200}{40}=5 \end{gathered}[/tex]

substitute with (x) into R:

[tex]R=76\cdot5=380[/tex]

so, the answer will be:

The break-even point = (5, 380)