Principles of Finance:

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night_shades_inc.docx

Night Shades Inc. (NSI) manufactures biotech sunglasses. The variable materials cost is $12.50 per unit, and the variable labor cost is $7.20 per unit.

  

a.

What is the variable cost per unit? (Do not round intermediate calculations. Round your answer to 2 decimal places, e.g., 32.16.)

  

  Variable cost

$   

  

b.

Suppose NSI incurs fixed costs of $840,000 during a year in which total production is 370,000 units. What are the total costs for the year? (Do not round intermediate calculations. Round your answer to the nearest whole number, e.g., 32.)

  

  Total cost

$   

  

c.

If the selling price is $49.00 per unit, what is the cash break-even point? If depreciation is $640,000 per year, what is the accounting break-even point? (Do not round intermediate calculations. Round your answers to 2 decimal places, e.g., 32.16.)

 

  Cash break-even point

 units  

  Accounting break-even point

 units  

2. Sloan Transmissions, Inc., has the following estimates for its new gear assembly project: price = $1,500 per unit; variable costs = $300 per unit; fixed costs = $4.0 million; quantity = 76,000 units. Suppose the company believes all of its estimates are accurate only to within ±15 percent. What values should the company use for the four variables given here when it performs its best-case scenario analysis? What about the worst-case scenario?

    

Scenario

Units Sales

Unit Price

Unit Variable cost

Fixed Costs

  Base

   

$    

$     

$   

  Best

   

   

    

  

  Worst

   

   

    

  

3. In each of the following cases, find the unknown variable: (Do not round intermediate calculations. Round your answers to the nearest whole number, e.g., 32.)

  

Accounting Break-Even

 

Unit Price

Unit Variable Cost

Fixed Costs

Depreciation

33,000    

 

$

40

 

$

20

 

$

550,000

 

$

 

122,500    

 

 

 

 

40

 

 

4,000,000

 

 

900,000

 

8,000    

 

 

75

 

 

 

 

280,000

 

 

80,000

 

4. Consider a four-year project with the following information: initial fixed asset investment = $550,000; straight-line depreciation to zero over the four-year life; zero salvage value; price = $26; variable costs = $18; fixed costs = $190,000; quantity sold = 85,000 units; tax rate = 34 percent.

  

How sensitive is OCF to changes in quantity sold? (Do not round intermediate calculations. Round your answer to 2 decimal places, e.g., 32.16.)

  

  ΔOCF/ΔQ

$   

5. Consider a four-year project with the following information: initial fixed asset investment = $600,000; straight-line depreciation to zero over the four-year life; zero salvage value; price = $35; variable costs = $28; fixed costs = $240,000; quantity sold = 90,000 units; tax rate = 30 percent.

  

What is the degree of operating leverage at the given level of output? (Do not round intermediate calculations. Round your answer to 4 decimal places, e.g., 32.1616.)

  

  Degree of operating leverage

  

   

What is the degree of operating leverage at the accounting break-even level of output? (Do not round intermediate calculations. Round your answer to 4 decimal places, e.g., 32.1616.)

  

  Degree of operating leverage