Answer:
a. Contribution per CD unit: $6.40
b. Break even volume in CD units: 105,469 and dollars: $1,054,687.50
c. Profit if 1 million CDs are sold: $ 5,725,000
d. CD unit sales volume required to achieve a profit of $200,000 : 136,719
Step-by-step explanation:
a. Contribution per CD unit:
Contribution = Sales - Variable Costs
= $10.00 - ( $2.25+ $0.35 + $1.00)
= $6.40
b. Break even volume in CD units and dollars
Break even volume in CD units = Fixed Cost / Contribution per unit
= ( $375,000+ $300,000)/ $6.40
= 105,468.75
= 105,469
Break even volume in dollars = Fixed Cost / Contribution Margin Ratio
= ( $375,000+ $300,000)/ ($6.40/ $10.00)
= $1,054,687.50
c. Profit if 1 million CDs are sold
Profit = Contribution - Fixed Costs
= ($6.40 × 1,000,000) - ( $375,000+ $300,000)
= $ 5,725,000
d. CD unit sales volume required to achieve a profit of $200,000
Units to Achieve a Target Profit = Fixed Costs + Target Profit / Contribution per unit
=(( $375,000+ $300,000)+$200,000)+/ $6.40
= $875,000 / $6.40
= 136,718.75
= 136,719