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Homework answers / question archive / United Merchants Company sells 24,000 units at $41 per unit

United Merchants Company sells 24,000 units at $41 per unit

Accounting

United Merchants Company sells 24,000 units at $41 per unit. Variable costs are $30.75 per unit, and fixed costs are $100,900.

Determine (a) the contribution margin ratio, (b) the unit contribution margin, and (c) income from operations.

a) Contribution margin ratio.

b) Unit contribution margin.

c) Income from operations.

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a) Computation of the contribution margin ratio:-

Contribution margin ratio = (Selling price per unit - Variable cost per unit) / Selling price per unit

= ($41 - $30.75) / $41

= $10.25 / $41

= 25%

 

b) Computation of the unit contribution margin:-

Unit contribution margin = Selling price per unit - Variable cost per unit

= $41 - $30.75

= $10.25

 

c) Computation of the income from operations:-

Income from operations = (Units contribution margin * Number of units sold) - Fixed costs

= ($10.25 * 24,000) - $100,900

= $246,000 - $100,900

= $145,100