Given the cost function, c(x), and the revenue function, r(x), find the number of units x that must be sold to break even.
c(x) = 4000x + 88,000
r(x) = 12,000x

Equate the functions and then solve for x.

Hope this helps.

11 units must be sold to break even.

Step-by-step explanation:

Profit is expressed as Revenue - Cost. Break even is the point at which there is neither profit nor loss. This means that profit would be zero. Therefore,

Revenue - cost = 0

Revenue = cost

Given the cost function, C(x) to be

C(x) = 4000x + 88,000

and the revenue function, R(x) to be

R(x) = 12,000x, the number of units x that must be sold to break even would be

4000x + 88000 = 12000x

12000x - 4000x = 88000

8000x = 88000

x = 88000/8000 = 11