Night
Shades Inc. (NSI) manufactures biotech sunglasses. The variable
materials cost is $18.50 per unit, and the variable labor cost is $7.00
per unit.
a. |
What is the variable cost per unit? (Round your answer to 2 decimal places. (e.g., 32.16))
|
b. |
Suppose
NSI incurs fixed costs of $800,000 during a year in which total
production is 350,000 units. What are the total costs for the year?
|
c. |
If
the selling price is $48.00 per unit, what is the cash break-even
point? If depreciation is $600,000 per year, what is the accounting
break-even point? (Round your answers to 2 decimal places. (e.g., 32.16))
|
Explanation:
a.
The total variable cost per unit is the sum of the two variable costs, so: |
|
Total variable costs per unit = $18.50 + 7.00 |
Total variable costs per unit = $25.50 |
b.
The
total costs include all variable costs and fixed costs. We need to make
sure we are including all variable costs for the number of units
produced, so:
|
|
Total costs = Variable costs + Fixed costs |
Total costs = $25.50(350,000) + $800,000 |
Total costs = $9,725,000 |
c.
The cash break even, that is the point where cash flow is zero, is: |
|
QC = $800,000 / ($48.00 – 25.50) |
QC = 35,555.56 units |
|
And the accounting breakeven is: |
|
QA = ($800,000 + 600,000) / ($48.00 – 25.50) |
QA = 62,222.22 units |
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