Asked by Viraj Mistry on Jun 10, 2024
Verified
A project has earnings before interest and taxes of $5,750, fixed costs of $50,000, a selling price of $13 a unit, and a sales quantity of 11,500 units. Depreciation is $7,500. What is the variable cost per unit?
A) $6.75
B) $7.00
C) $7.25
D) $7.50
E) $7.75
Variable Cost
A cost that varies with the level of output or production volume.
Fixed Costs
Costs that do not change with the level of production or sales, such as rent, salaries, and insurance.
Depreciation
The allocation of the cost of an asset over its useful life, reflecting the reduction in value owing to wear and tear, age, or obsolescence.
- Calculate the per unit variable cost using the provided earnings before interest and taxes, fixed costs, selling price, and quantity of sales.
Verified Answer
AG
Arthur GordonJun 10, 2024
Final Answer :
D
Explanation :
The variable cost per unit can be calculated by first determining the total revenue, then subtracting the fixed costs, depreciation, and earnings before interest and taxes (EBIT) from the total revenue to find the total variable cost. Finally, divide the total variable cost by the quantity of units sold to find the variable cost per unit. Total revenue = $13 * 11,500 = $149,500. Total costs (excluding variable costs) = $50,000 (fixed costs) + $7,500 (depreciation) + $5,750 (EBIT) = $63,250. Total revenue - Total costs (excluding variable costs) = $149,500 - $63,250 = $86,250 (total variable costs). Variable cost per unit = $86,250 / 11,500 units = $7.50.
Learning Objectives
- Calculate the per unit variable cost using the provided earnings before interest and taxes, fixed costs, selling price, and quantity of sales.
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