Final answer:
The before-tax income is $85,000. The total contribution margin is 0.4 times the total sales revenue. The total sales is $138,125. The breakeven point in dollar sales is $450,000.
Step-by-step explanation:
1. Before-tax income can be calculated by subtracting the net income after taxes from the total income tax amount. In this case, the net income after taxes is $55,250, and the income tax rate is 35%. So the before-tax income can be calculated as:
Before-tax income = net income after taxes / (1 - income tax rate) = $55,250 / (1 - 0.35) = $85,000
2. The total contribution margin can be calculated by subtracting the variable costs from the total sales revenue. In this case, the variable costs are 60% of total sales revenue. So the total contribution margin can be calculated as:
Total contribution margin = total sales revenue - variable costs = total sales revenue - 0.6 * total sales revenue = 0.4 * total sales revenue
3. The total sales can be calculated by dividing the net income after taxes by the contribution margin ratio. In this case, the net income after taxes is $55,250 and the total contribution margin ratio is 0.4. So the total sales can be calculated as:
Total sales = net income after taxes / contribution margin ratio = $55,250 / 0.4 = $138,125
4. The breakeven point in dollar sales can be calculated by dividing the fixed costs by the contribution margin ratio. In this case, the fixed costs are $180,000 and the contribution margin ratio is 0.4. So the breakeven point in dollar sales can be calculated as:
Breakeven point in sales dollars = fixed costs / contribution margin ratio = $180,000 / 0.4 = $450,000