Stuck on this problem, info below:


A catering business has variable operating costs of $245,650 and fixed operating costs of $365,823. It must generate _?_ in sales in order to make a 10% profit. What is the breakeven point?

Quote Originally Posted by Page from book
To calculate the breakeven point it is necessary to know the variable rate and the contribution rate. The variable rate (the percentage of sales that variable costs represent) is found by dividing variable cost by sales. (example from a graph, too lazy to upload graph) Here, $402,375 divided by $925,000 finds a variable rate of 0.435. The contribution rate (the percentage of profit that the contribution margin represents) is calculated by subtracting the variable rate from 1 (or 100). Thus, 1 - 0.435 = 0.565. The breakeven point is then calculated by dividing the contribution rate into the total of fixed costs. In figured 7.3 (graph from earlier) this figure is calculated as $743,303. It is nor possible to evaluate furture catering reservations and forecast how much additional revenue must be booked or understand the value of current reservations in relationship to overall profitablity of the business.....etc etc etc.
Quote Originally Posted by Chart from book
Breakeven point:

Sales = fixed cost / contribution rate
Contribution rate = 1 - Variable Rate
Variable rate = Variable cost / Sales

Example:
sales = 925,000
Variable cost = 402,375
Fixed cost = 416,250
Variable rate = Variable cost/sales = 405,375/925,000 = .435
Contribution rate = 1 - Variable rate = 1 - 0.435 = 0.565

Breakeven point:

sales = fixed cost / contribution rate = 416,250/0.565 = 743,303

Halp make sense of this BS?