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.
Let $\displaystyle x$ = number of boxes of chocolates.
At $14 per box, Total Revenue: .$\displaystyle 14x$dollars. The production cost per box is$8: .$\displaystyle 8x$ dollars, plus a fixed cost of $\displaystyle \$3600.$. . Total Cost: .$\displaystyle 8x + 3600$dollars. The break-even point occurs when Total Revenue equals Total Cost. . . Solve: .$\displaystyle 14x \:=\:8x + 3600\$