Part A.
Pigwidgeon Company charges a selling price of $30 per unit for its single product, incurs variable costs of $14 per unit, and total fixed costs of $280,000.
What unit sales volume is necessary to earn a net income before tax of $40,000?
Part B.
Pigwidgeon Company charges a selling price of $30 per unit for its single product, incurs variable costs of $14 per unit, and total fixed costs of $280,000.
What sales volume is necessary to earn a net income after tax of $42,000, assuming a tax rate of 25%?
Contribution margin=Sales-Variable cost
=(30-14)=$16 per unit
a.Target Contribution margin=Fixed cost+Target profits
=(280,000+40,000)=$320000
Hence units to be sold=Target Contribution margin/Contribution margin per unit
=320000/16
=20,000 units
b.Target before tax income=Net income after-tax/(1-tax rate)
=42000/(1-0.25)=$56000
Target Contribution margin=Fixed cost+Target profits before tax
=(280,000+56000)=$336000
Hence units to be sold=Target Contribution margin/Contribution margin per unit
=336000/16
=21000 units
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