Question

For the coming year, Belton Company estimates fixed costs of $60,000, the unit variable cost of $25, and the unit selling price of $50.
a. Determine the break-even point in units of sales.

b. Determine the unit sales required to realize operating income of $100,000.

c. Determine the probable operating income if sales total $400,000.

Answer 1

Answer:

1. Break even point in units = 2,400 units

2. Sales required = 6,400 units

3. Operating income = $140,000

Explanation:

Given:

Fixed costs = $60,000

Variable cost =$25 per unit

Selling price = $50 per unit

Computation:

1. Break-even point in units of sales.

Contribution per unit = sales - VC

Contribution per unit = $50 - $25

Contribution per unit = $25

Break even point in units = Fixed costs / Contribution per unit

Break even point in units = $60,000 / $25

Break even point in units = 2400 units

2. Unit sales required to realize operating income = $100,000

Sales required = (Fixed costs + Operating income) / Contribution per unit

Sales required = ($60,000 + $100,000) / $25

Sales required = 6400 units

3. Operating income if sales total = $400,000

Contribution margin = [$25/ $50]100 = 50%

Operating income = Contribution margin - Fixed costs

Operating income = ($400,000 × 50%) - $60,000

Operating income = $140,000