Company A rents copiers for a monthly charge of $\$ 180$ plus 6 cents per copy. Company B rents copiers for a monthly charge of $\$ 360$ plus 3 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?
A) 6100 copies
B) 12,000 copies
C) 6000 copies
D) 3000 copies

Question

Quizplus · Accepted Answer

The cost for Company A is $180 + 0.06x$ and for Company B is $360 + 0.03x$, where x is the number of copies. Setting them equal to find the break-even point: $180 + 0.06x = 360 + 0.03x$. Solving for x gives $x = 6000$. Beyond 6000 copies, Company A's charges are higher.

Company a Rents Copiers for a Monthly Charge Of $180\$ 180$180

Company a Rents Copiers for a Monthly Charge Of $\$ 180$