XYZ Company sells Bluetooth headphones through Amazon.com. Each pair of headphones retails for $50. Amazon’s markup on this kind of product is 25%. The headphones cost XYZ $13 to manufacture. If its fixed costs are $608,985 annually, what is XYZ’s break even quantity?

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Answer:

XYZ’s break even quantity is 16,459 units

Explanation:

Break-even quantity sales is the sales quantity where the sales revenue is the same total expenses leaving a zero net income.

Break-even sales quantity=fixed  costs/contribution per unit

fixed cost is $608,985

contribution margin=sales price-variable cost per unt

sales price per unit is $50

variable cost is $13

contribution margin=$50-$13=$37

breakeven sales units=$608,985/$37=16,459 units

XYZ’s break even quantity is 16,459 units.

The break-even quantity refers to the quantity where the sales revenue is the same total expenses, thus, leaving a zero net income.

  • The formula for Break-even quantity = Fixed costs / Contribution per unit

Given Information

Fixed cost is $608,985

  • Contribution margin = Sales price - Variable cost per unit: where Sales price per unit is $50 and Variable cost is $13

Contribution margin = $50 - $13

Contribution margin = $37

Breakeven sales units = $608,985/$37

Breakeven sales units = 16,459 units

Hence, XYZ’s break even quantity is 16,459 units.

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