Answer
300 copies
Work Step by Step
As we know printing one newsletter costs 1.50USD per copy plus 450USD in printers' fees, the following equation can be derived to find the cost (C) per copy (x):
$C=450+1.5x$
Then, as we know the copies are sold for 3USD each, the following equation can be written to find profit (P) per copy (x):
$P=3x$
For the company to break even, C must equal P--therefore, we can write them as one variable, y.
We can write this in a system of equations:
$y=450+1.5x$
$y=3x$
To solve, first rewrite the first equation:
$y=450+1.5x$
$y-1.5x=450$
Then, we can solve by substitution:
$y=3x$
$(3x)-1.5x=450$
$1.5x=450$
$x=450\div1.5$
$x=300$
300 copies must be sold to break even.
