Answer: the number of units that must be sold to break even is 12
Step-by-step explanation:
The cost function is expressed as
C(x)= 9000x +72000
The revenue function is expressed as
R(x) = 15000x
Profit = Revenue - cost
At the point of break even, the total revenue is equal to the total cost. This means that profit is zero. The expression becomes
Revenue - cost = 0
Revenue = cost
R(x) = C(x)
Therefore,
15000x = 9000x +72000
15000x - 9000x = 72000
6000x = 72000
x = 72000/6000
x = 12
