Zaccaria Corporation has provided the following contribution format income statement. All questions concern situations that are within the relevant range.?Sales (5,000 units)$300,000?Variable expenses 240,000?Contribution margin60,000?Fixed expenses 58,800?Net operating income $1,200Required:a. What is the contribution margin ratio?b. If sales increase to 5,040 units, what would be the estimated increase in net operating income?c. If the selling price increases by $4 per unit and the sales volume decreases by 400 units, what would be the estimated net operating income?d. What is the break-even point in unit sales?e. What is the margin of safety in dollars?f. What is the degree of operating leverage?
What will be an ideal response?
a. CM ratio = Contribution margin ÷ Sales = $60,000 ÷ $300,000 = 20%
b. The increase in net operating income would be the increased contribution margin because fixed expenses are not affected.
? | Selling price per unit ($300,000 ÷ 5,000 units) | $60 |
? | Variable cost per unit ($240,000 ÷ 5,000 units) | 48 |
? | Unit contribution margin | $12 |
? | Unit contribution margin (a) | $12 | per unit |
? | Increased unit sales (b) | 40 | units |
? | Increase in net operating income (a) × (b) | $480 | ? |
c.
? | Selling price ($60 per unit + $4 per unit) | $64 | per unit |
? | Variable cost per price | 48 | per unit |
? | Unit contribution margin (a) | $16 | per unit |
? | Unit sales (b) | 4,600 | units |
? | Contribution margin (a) × (b) | $73,600 | ? |
? | Fixed expenses | 58,800 | ? |
? | Net operating income | $14,800 | ? |
d. Unit sales to break even = Fixed expenses ÷ Unit CM = $58,800 ÷ $12 per unit = 4,900 units
e. Margin of safety in dollars = Total budgeted (or actual) sales - Break-even sales
= $300,000 ? $294,000 = $6,000
f. Degree of operating leverage = Contribution margin ÷ Net operating income
= $60,000 ÷ $1,200 = 50.0
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