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In the month of September, Matlock Industries sold 800 units of product. The ave

ID: 2410469 • Letter: I

Question

In the month of September, Matlock Industries sold 800 units of product. The average sales price was $30. During the month, fixed costs were $6,300 and variable costs were 70% of sales.

Determine the contribution margin in dollars, per unit, and as a ratio.

Contribution margin (in dollars) $____

Unit contribution margin $____

Contribution margin ratio ____%

Using the contribution margin technique, compute the break-even point in dollars and in units.

Break-even sales (in dollars) $____

Break-even sales (in units) ____ units

Explanation / Answer

1) Contribution margin = Sales - Variable costs = (800 × $30) - ($24,000 × 70%) = $24,000 - $16,800 = $7,200

Contribution margin per unit = Unit sales price - Variable cost per unit = $30 - ($30 × 70%) = $30 - $21 = $9

Contribution margin ratio = $9 ÷ $30 = 30%

2) Break-even sales (in dollars) = Fixed costs ÷ Contribution margin ratio = $6,300 ÷ 30% = $21,000

Break-even sales (in units) = Fixed costs ÷ Contribution margin per unit = $6,300 ÷ $9 = 700 units

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