Find the break-Even point for the following fuctions c(x)=10x and r(x)=210-4x

The break-even point is x = 15

Step-by-step explanation:

We have the equations:

c(x) = 10*x

r(x) = 210 - 4*x

I suppose that c(x) is the cost equation, and r(x) is the revenue equation.

"break-even" means that you don't lose nor win anything, then the difference between the revenue and the cost is 0.

Then we need to solve:

r(x) - c(x) = 0

(210 - 4*x) - (10*x) = 0

210 - 4*x - 10*x = 0

210 - 14*x = 0

210 = 14*x

210/14 = x

15

This means that for x = 15, you break even.