Math
posted by Rochelle on .
Your class decides to publish a calendar to raise money. The initial cost, regardless of the number of calendars printed, is $900. After the initial cost, each calendar costs $1.50 to produce. What is the minimum number of calendars your class must sell at $6 per calendar to make a profit of at least $1200?

Revenue  Cost = 1200
Let N be the number produced (and sold)
The revenue is 6N.
The cost is 900 + 1.5 N.
1200 = 6 N  (900 + 1.5N)
= 4.5 N 900
4.5 N = 2100
N = 467
N has to be an integer, so you round to the next higher integer.
N=466 would result in a loss.