Company A rents copiers for a monthly charge of $200 plus 10 cents per copy. Company B rents copiers for a monthly charge of $400 plus 5 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?

Question

anonymous · Answer

$$P_A=0.1c+200$$
$$P_B=0.05c+400$$
We want to know for what 'c'  $$P_A \geq P_B$$
but we can just solve $$P_A = P_B$$ so
$$0.1c+200=0.05c+400$$
and solve for 'c' (this is up to you).