Answer:
Contribution margin per unit
A = $120
B = $3,000
C = $3,132
Contribution margin ratio
A = 60%
B = 75%
C = 60%
Units to break even
A = 610 units
B = 220 units
C = 1,200 units
Sales dollars to break even
A = $122,000
B = $880,000
C = $6,264,000
Units to achieve target profit
A = 2,833 units
B = 1220 units
C = 2,200 units
Explanation:
Contribution margin per unit
Contribution margin = Sales - Variable Costs
A B C
Sales price per unit $200 $4,000 $5,220
Variable costs per unit ($80) ($1,000) ($2,088)
Contribution Margin $120 $3,000 $3,132
Contribution margin ratio
Contribution margin ratio = Contribution / Sales × 100
A = $120 / $200 × 100
= 60%
B = $3,000 / $4,000 × 100
= 75%
C = $3,132 / $5,220 × 100
= 60%
Units to break even
Units to break even = Fixed Cost ÷ Contribution margin per unit
A = $73,200 ÷ $120
= 610 units
B = $660,000 ÷ $3,000
= 220 units
C = $3,758,400 ÷ $3,132
= 1,200 units
Sales dollars to break even
Units to break even = Fixed Cost ÷ Contribution margin ratio
A = $73,200 ÷ 60%
= $122,000
B = $660,000 ÷ 75%
= $880,000
C = $3,758,400 ÷ 60%
= $6,264,000
Units to achieve target profit
Units to achieve target profit = Fixed Cost + Target Profit ÷ Contribution margin per unit
A = $73,200 + 266,760 ÷ $120
= 2,833 units
B = $660,000 + 3,000,000 ÷ $3,000
= 1220 units
C = $3,758,400 + 3,132,000 ÷ $3,132
= 2,200 units
