# Math Help - Break even point

1. ## Break even point

A Chocolate Factory sells a box of choclate for $14 each. The total cost consists of a fixed overhead of$3600 per month plus production costs of $8 per chocolate box. Find the break even point. Please help. Thanks 2. Hello, Greenbaumenom! This is not an Advanced Probability and Statistics problem. . . It more like Algebra 1. A chocolate factory sells a box of chocolates for$14 each.
The total cost is a fixed overhead of $3600 per month plus production costs of$8 per box.
Find the break-even point.

Let $x$ = number of boxes of chocolates.

At $14 per box, Total Revenue: . $14x$ dollars. The production cost per box is$8: . $8x$ dollars, plus a fixed cost of $\3600.$
. . Total Cost: . $8x + 3600$ dollars.

The break-even point occurs when Total Revenue equals Total Cost.

. . Solve: . $14x \:=\:8x + 3600$