Question

Grosheim Incorporated has fixed expenses of $213,000 per year. Right now, Grosheim Incorporated is selling its products for $250 per unit. Management is contemplating a 40% increase in the selling price for the next year. Variable costs are currently 20% of sales revenue and are not expected to change in dollar amount on a per unit basis next year (the company will pay the same amount for variable costs next year). If fixed costs increase 10% next year, and the new selling price per unit goes into effect, how many units will need to be sold to breakeven?

Answer 1

781 units

Step-by-step explanation:

Under the CVP concept, the break-even point is calculated by dividing the fixed costs by the contribution margin per unit.

i.e., break-even point = fixed cost/ contribution margin per unit

Currently, fixed costs are $213,000, an increase of 10% will take to

=(10/100 x $213,000) + $213,000

=$21,300 + 213,000

=$234, 300

The selling price is $250, an increase of 40%

=$250 x 1.4

=$350

variable cost will remain the same this year and the following year

Current variable costs are 20% of sales

=20/100 x 250

=0.2 x 250

=$50

Contribution margin will be new selling price - variable costs

=$350-50

=$300

Break-eve point = $234, 300/300

=781 units