Ladanza Corporation is a wholesaler that sells a single product. Management has provided the following cost data for two levels of monthly sales volume. The company sells the product for $188.00 per unit.
|
Sales volume (units) | 11,800 | 13,300 |
Cost of sales | $1,014,800 | $1,143,800 |
Selling and administrative costs | $627,000 | $667,500 |
The best estimate of the total contribution margin when 12,460 units are sold is:
$310,170 | |
$934,500 | |
$409,430 | |
$1,048,530 |
Using the high-low method to estimate variable components of the costs:
Variable cost of sales = Change in cost ÷ Change in activity
= ($1,143,800 - $1,014,800) ÷ (13,300 units - 11,800 units)
= $129,000 ÷ 1,500 units
= $86.00 per unit
Variable selling and administrative cost = Change in cost ÷ Change in activity
= ($667,500 - $627,000) ÷ (13,300 units - 11,800 units)
= $40,500 ÷ 1,500 units
= $27.00 per unit
Total variable cost per unit = Variable cost of sales + Variable selling and administrative cost
= $86.00 per unit + $27.00 per unit = $113.00 per unit
Contribution margin per unit = Selling price per unit - Total variable cost per unit
Total contribution margin = Contribution margin per unit × Total unit sales
= $75.00 per unit × 12,460 units = $934,500
Variable cost of sales = Change in cost ÷ Change in activity
= ($1,143,800 - $1,014,800) ÷ (13,300 units - 11,800 units)
= $129,000 ÷ 1,500 units
= $86.00 per unit
Variable selling and administrative cost = Change in cost ÷ Change in activity
= ($667,500 - $627,000) ÷ (13,300 units - 11,800 units)
= $40,500 ÷ 1,500 units
= $27.00 per unit
Total variable cost per unit = Variable cost of sales + Variable selling and administrative cost
= $86.00 per unit + $27.00 per unit = $113.00 per unit
Contribution margin per unit = Selling price per unit - Total variable cost per unit
Total contribution margin = Contribution margin per unit × Total unit sales
= $75.00 per unit × 12,460 units = $934,500
Multiple Choice | Learning Objective: 02-03 Understand cost behavior patterns including variable costs, fixed costs, and mixed costs. | Learning Objective: 02-05 Prepare income statements for a merchandising company using the traditional and contribution formats. |
Difficulty: Hard | Learning Objective: 02-04 Analyze a mixed cost using a scattergraph plot and the highlow method. |
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