Well, let's see.
Call the number of boxes ' B '.
The cost to produce them is . . . $500 + $0.35B .
When they're sold, the income is . . . $2.85B .
When the income is equal to the manufacturing cost, what is ' B ' ?
2.85 B = 500 + 0.35 B
Subtract 0.35B from each side . . . . . 2.5 B = 500
Divide each side by 2.5 . . . . . B = 200 boxes
I thought it was going to be harder and more complicated than that.
So I'd better check my answer:
Set up the equipment . . . $500
When 200 boxes are manufactured, it costs (200 x $0.35) = $70
Total cost so far . . . . . $570 .
When 200 boxes are sold, the income is (200 x $2.85) = $570
Yep ! They're equal. Manufacturing cost is equal to income for 200 boxes. After 200, the company starts making money, at $2.50 per box.
