Question

Required information [The following information applies to the questions displayed below.] This year Burchard Company sold 45,000 units of its only product for $18.00 per unit. Manufacturing and selling the product required $130,000 of fixed manufacturing costs and $190,000 of fixed selling and administrative costs. Its per unit variable costs follow. Material $ 5.00 Direct labor (paid on the basis of completed units) 4.00 Variable overhead costs 0.50 Variable selling and administrative costs 0.30 Next year the company will use new material, which will reduce material costs by 70% and direct labor costs by 30% and will not affect product quality or marketability. Management is considering an increase in the unit selling price to reduce the number of units sold because the factory's output is nearing its annual output capacity of 50,000 units. Two plans are being considered. Under plan 1, the company will keep the selling price at the current level and sell the same volume as last year. This plan will increase income because of the reduced costs from using the new material. Under plan 2, the company will increase the selling price by 30%. This plan will decrease unit sales volume by 15%. Under both plans 1 and 2, the total fixed costs and the variable costs per unit for overhead and for selling and administrative costs will remain the same.

Answer 1

Solution:

Computation of contribution margin per unit - Burchard Company
	Plan 1	Plan 2
Selling price per unit	$18.00	$23.40
Variable cost per unit:
Direct material ($5 * 30%)	$1.50	$1.50
Direct labor ($4 * 70%)	$2.80	$2.80
Variable overhead cost	$0.50	$0.50
Variable selling and administrative costs	$0.30	$0.30
Total variable cost per unit	$5.10	$5.10
Contribution margin per unit	$12.90	$18.30

Plan 1
Contribution Margin ratio
Choose Numerator	/	Choose Denominator	=	Contribution Margin ratio
Contribution Margin		Sale Price		Contribution Margin ratio
$12.90		$18.00		71.67%
Break Even point in dollar
Choose Numerator	/	Choose Denominator	=	Break Even point in dollars
Fixed Costs		Contribution Margin ratio		Break Even point in dollars
320000		71.67%		446512
Plan 2
Contribution Margin ratio
Choose Numerator	/	Choose Denominator	=	Contribution Margin ratio
Contribution Margin		Sale Price		Contribution Margin ratio
$18.30		$23.40		78.21%
Break Even point in dollar
Choose Numerator	/	Choose Denominator	=	Contribution Margin ratio
Fixed Costs		Contribution Margin ratio		Break Even point in dollars
320000		78.21%		409180