Question 1108029
c = 14x + 64,000
r = 18x


c = cost
r = revenue


you break even when c = r


that gets you 14x + 64,000 = 18x


subtract 14x from both sides of this equation to get 64,000 = 18x - 14x


combine like terms to get 64,000 = 4x


divide both sides of this equation by 4 to get 64,000 / 4 = x


simplify to get 16,000 = x.


they would have to sell 16,000 units to break even.


revenue = 18 * 16,000 = 288,000
cost = 14 * 16,000 + 64,000 = 288,000.


if they sell less than 16,000 units, they lose money.
if they sell more than 16,000 units, the make money.