If the fixed costs are $450,000, the unit selling price is $75, and the unit variable costs are $50, what are the old and new break-even sales (units) if the unit selling price increases by $10

Old break even points= 18,000 units

New break even points= 12,857 units

Explanation:

The fixed costs are $450,000

The unit selling price is $75

The unit variable costs are $50

The unit selling price have an increase of 10 units

The first step is to calculate the contribution margin per unit

Contribution margin per unit= Selling price per unit-Variable cost per unit

= $75-$50

= $25 per unit

The old break even point can be calculated as follows

= Fixed costs/Contribution margin per unit

= $450,000/$25

= 18,000 units

Since there is an increase in the unit selling price by $10 per unit then, the contribution matgin per unit can be calculated as follows

= $25+$10

= $35

Therefore, the new break even point can be calculated as follows

= $450,000/$35

= 12,857 units

Hence the old break even point and new break even point are 18,000 units and 12,857 units respectively