Answer:
18,000 units .
Step-by-step explanation:
The cost function C(x) and the revenue function R(x) are, respectively:
[tex]C(x) = 14x +72,000\\R(x)= 18x[/tex]
In order to break even, the revenue function, for a given value of "x" must yield a value equal or greater than the cost function. Simply equal both functions to find a minimum value of x needed to break even:
[tex]C(x) = R(x)\\14x +72,000 = 18x\\4x=72,000\\x=18,000[/tex]
18,000 units must be sold in order to break even.