The following estimates have been prepared for a projectFixed costs $3600Depreciation$2400Sales price per unit $2Accounting break-even 24000 unitsWhat must be the variable cost per unit
In order to calculate the variable cost per unit, we need to use the accounting break-even formula:
Accounting Break-Even = Fixed Costs / (Sales Price per Unit - Variable Cost per Unit)
Plugging in the given values:
24,000 units = $3600 / ($2 - Variable Cost per Unit)
Multiplying both sides of the equation by ($2 - Variable Cost per Unit):
24,000 units * ($2 - Variable Cost per Unit) = $3600
48,000 - 24,000 * Variable Cost per Unit = $3600
Subtracting $48,000 from both sides of the equation:
-24,000 * Variable Cost per Unit = $3600 - $48,000
-24,000 * Variable Cost per Unit = -$44,400
Dividing both sides of the equation by -24,000:
Variable Cost per Unit = -$44,400 / -24,000
Variable Cost per Unit = $1.85
Therefore, the variable cost per unit must be $1.85
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