Asked by Mariela Nieto on Jun 26, 2024

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A project has an accounting break-even point of 1,600 units. The fixed costs are $3,200 and the depreciation expense is $200. The projected variable cost per unit is $20.50. What is the projected sales price?

A) $9.65
B) $14.75
C) $18.35
D) $20.50
E) $22.63

Accounting Break-Even

The point at which total revenues equal total expenses, and there is no profit or loss, specifically from an accounting perspective that includes non-cash expenses.

Depreciation Expense

An accounting method used to allocate the cost of a tangible asset over its useful life, reflecting wear and tear or obsolescence.

Fixed Costs

Costs that remain constant regardless of the amount of products or services a company produces, including expenditures like rent, wages, and insurance fees.

  • Determine the point of no financial gain or loss and comprehend its importance in assessing projects.
  • Determine the contribution margin and analyze its importance in financial analysis.
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MJ
micaela jersey pobleteJun 28, 2024
Final Answer :
E
Explanation :
The accounting break-even point is calculated as the point where total revenue equals total costs (including both variable and fixed costs). To find the sales price per unit, we need to calculate the total revenue at the break-even point and then divide by the number of units. The formula for the break-even point in units is given by: Break-even point in units=Fixed Costs+DepreciationSales price per unit−Variable cost per unit \text{Break-even point in units} = \frac{\text{Fixed Costs} + \text{Depreciation}}{\text{Sales price per unit} - \text{Variable cost per unit}} Break-even point in units=Sales price per unitVariable cost per unitFixed Costs+Depreciation Given that the break-even point is 1,600 units, fixed costs are $3,200, depreciation is $200, and variable cost per unit is $20.50, we can rearrange the formula to solve for the sales price per unit: 1,600=3,200+200Sales price per unit−20.50 1,600 = \frac{3,200 + 200}{\text{Sales price per unit} - 20.50} 1,600=Sales price per unit20.503,200+2001,600(Sales price per unit−20.50)=3,400 1,600(\text{Sales price per unit} - 20.50) = 3,400 1,600(Sales price per unit20.50)=3,400Sales price per unit−20.50=3,4001,600 \text{Sales price per unit} - 20.50 = \frac{3,400}{1,600} Sales price per unit20.50=1,6003,400Sales price per unit=3,4001,600+20.50 \text{Sales price per unit} = \frac{3,400}{1,600} + 20.50 Sales price per unit=1,6003,400+20.50Sales price per unit=2.125+20.50 \text{Sales price per unit} = 2.125 + 20.50 Sales price per unit=2.125+20.50Sales price per unit=22.625 \text{Sales price per unit} = 22.625 Sales price per unit=22.625 Therefore, the projected sales price per unit is $22.63, rounding to the nearest cent.