Question

You own a small manufacturing business that produces widgets. You have spent $400,000 acquiring the fixed assets you need to produce widgets. Each widget costs you $3 to make and they sell for $25 each, so your variable cost is 12% of the overall revenue. At your current level of operating leverage, how many widgets must you sell to break even

Answer 1

At the current level of operating leverage, the small manufacturing business needs to sell 18,182 units of widgets to break even.

What is the break-even point?

The break-even point is the level of production and sales required so that the entity does not incur any losses or earn any profits.

At the break-even point, the total costs (fixed and variable) equal the sales revenue.

Data and Calculations:

Fixed assets = $400,000

Production cost of each widget = $3

Selling price per unit = $25

Variable cost per unit = $3 ($25 x 12%)

Contribution margin per unit = $22 ($25 - $3)

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

= 18,182 units ($400,000/$22)

Thus, at the current level of operating leverage, the small manufacturing business needs to sell 18,182 units of widgets to break even.

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