Question

Stuart Corporation produces products that it sells for $17 each. Variable costs per unit are $9, and annual fixed costs are $163,200. Stuart desires to earn a profit of $25,600. Required Use the equation method to determine the break-even point in units and dollars. Determine the sales volume in units and dollars required to earn the desired profit.

Answer 1

See below

Step-by-step explanation:

The formula for break even point in unit and dollar is as sewn below;

Break even point in units = Fixed expenses / Contribution margin per unit

Where

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

Contribution margin per unit = $17 - $9 = $8

But

Fixed expenses = $163,200

Break even point in unit = $163,200 / $8 = 20,400 units

Break even point in dollars = Fixed expense / Profit volume ratio

Where

Profit volume ratio = (Contribution margin per unit / Selling price per unit) × 100

Profit volume ratio = ($8/$17) × 100 = 47.06%

But

Fixed expense = $163,200

Break even point in dollars = $163,200 / 47.06% = $3,468

For desired profit

Sales volume in units = Fixed expense + Desired profit / Contribution margin per unit

= $163,200 + $25,200 / $8

= $188,400/$8

= 23,550 units

Sales volume in dollars = Fixed expenses + Desired profit / Profit volume ratio

= $163,200 + $25,200 / 47.06%

= $4,003