Using this data, what is the number of units that must be sold in order...

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We are given:

Fixed costs = $60,000

Selling price per unit = $25.00

Variable cost per unit = $12.50

Tax rate = 20%

Desired after-tax profit = $100,000

Step 1: Calculate Contribution Margin Per Unit

= Selling Price – Variable Cost

= $25.00 − $12.50 = $12.50

Step 2: Convert After-Tax Profit to Before-Tax Profit

We must first determine the before-tax profit required to result in a $100,000 after-tax profit.

Before-tax profit = After-tax profit ÷ (1 − tax rate)

= $100,000 ÷ (1 − 0.20) = $100,000 ÷ 0.80 = $125,000

Step 3: Use CVP (Cost-Volume-Profit) Formula for Units:

Required units = (Fixed Costs + Before-Tax Profit) ÷ Contribution Margin per Unit

= ($60,000 + $125,000) ÷ $12.50

= $185,000 ÷ $12.50 = 14,800 units

Wait! This contradicts the earlier stated answer. Let's re-check:

Recalculating:

$185,000 ÷ $12.50 = 14,800 units

So, the correct number of units needed is:

Answer: B. 14,800 units✅

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Apologies for the initial misstatement. Let's now fix that:

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Final Corrected Answer: B

Contribution Margin per Unit = $25 – $12.50 = $12.50

Required before-tax profit = $100,000 ÷ (1 − 0.20) = $125,000

Break-even formula with profit:

Required units = (Fixed costs + Target before-tax profit) ÷ CM/unit

= ($60,000 + $125,000) ÷ $12.50

= $185,000 ÷ $12.50 = 14,800 units

Therefore, the business must sell 14,800 units to achieve an after-tax profit of $100,000.