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)= 9000x +72,000
R(x)= 15,000x

The number of units of x that must be sold to break even is 12 units.

Explanation:

It is given that the cost function C(x) is given by

Also, the revenue function R(x) is given by

The break even point can be determined by equating the cost function and the revenue function.

Thus, we have,

Subtracting both sides by , we get,

Dividing both sides by , we have,

Thus, it takes 12 units to be sold to break even.

Hence, the number of units of x that must be sold to break even is 12 units.