In: Accounting
Company prepared the following contribution format income statement based on a sales volume of 1,000 units (the relevant range of production is 500 units to 1,500 units):
Sales | $ | 70,000 |
Variable expenses | 38,500 | |
Contribution margin | 31,500 | |
Fixed expenses | 23,310 | |
Net operating income | $ | 8,190 |
5. If sales decline to 900 units, what would be the net operating income?
6. If the selling price increases by $2 per unit and the sales volume decreases by 100 units, what would be the net operating income?
If the variable cost per unit increases by $1, spending on advertising increases by $1,600, and unit sales increase by 220 units, what would be the net operating income?
What is the break-even point in unit sales?
Ans. 5 | Selling price per unit = Sales / Sales units | ||
$70,000 / 1,000 | $70 per unit | ||
Variable cost per unit = Variable expense / Sales units | |||
$38,500 / 1,000 | $38.50 per unit | ||
Contribution margin per unit = Selling price - Variable cost per unit | |||
$70 - $38.50 = $31.50 per unit | |||
Particulars | Amount | ||
Sales (900 *$70) | $63,000 | ||
Variable expenses (900 * $38.50) | -$34,650 | ||
Contribution margin | $28,350 | ||
Fixed expenses | ($23,310) | ||
Net operating income | $5,040 | ||
Net operating income will be $5,040 on this level (900 units) of sales. | |||
Ans. 6 | New selling price ($70 + $2) = $72 per unit | ||
Sales volume (1,000 - 100) = 900 units | |||
Particulars | Amount | ||
Sales (900 *$72) | $64,800 | ||
Variable expenses (900 * $38.50) | -$34,650 | ||
Contribution margin | $30,150 | ||
Fixed expenses | ($23,310) | ||
Net operating income | $6,840 | ||
Net operating income will be $6,840 after the change in sales volume and selling price. | |||
Ans. | New variable cost per unit ($38.50 + $1) = $39.50 per unit | ||
Sales volume (1,000 + 220) = 1,220 units | |||
Advertising is a fixed expenditure so it will increase the total fixed expenses. | |||
New fixed expenses ($23,310 + $1,600) = $24,910 | |||
Particulars | Amount | ||
Sales (1,220 *$70) | $85,400 | ||
Variable expenses (1,220 * $39.50) | ($48,190) | ||
Contribution margin | $37,210 | ||
Fixed expenses | -$24,910 | ||
Net operating income | $12,300 | ||
Ans. | Break even point in units = Total fixed cost / Contribution margin per unit | ||
$23,310 / $31.50 | |||
740 units |