BREAK EVEN, AFTER TAX TARGET INCOME, MARGIN OF SAFETY, OPERATING LEVERAGE

Coastal Carolina Company produces a single product. The projected income statement for the coming year, based on sales of 100,000 units, is as follows:

Sales

$2,000,000

Less: Variable costs

1,100,000

Contribution margin

$ 900,000

Less: Fixed costs

765,000

Operating income

$ 135,000

Required:

1. Compute the unit contribution margin and the units that must be sold to break even. Suppose that 30,000 units are sold above the break even point. What is the profit?

2. Compute the contribution margin ratio and the break even point in dollars. Suppose that revenues are $200,000 greater than expected. What would the total profit be?

3. Compute the margin of safety.

4. Compute the operating leverage. Compute the new profit level if sales are 20 percent higher than expected.

5. How many units must be sold to earn a profit equal to 10 percent of sales?

6. Assume the income tax rate is 40 percent. How many units must be sold to earn an after tax profit of $180,000?