Carry out sensitivity analysis that includes demand variable


Dayton Metal Corporation (DMC), a medium-sized manufacturer of fabricated metal parts, is considering whether to enter the competition to become a supplier of transmission housings for Dayton Power & Light (DP&L).  To compete, DMC must design a new fixture for the production process and purchase a new forge, which would cost $125,000.  If DMC wins the competition, it may be able to sell as many as 2,000 units per year to DP&L for $50 each; variable production costs, such as direct labor and direct material costs, are estimated to be $15 per unit.  Fixed costs are estimated to be $10,000 per year.  DMC expects that the proposed project will have a life of about 5 years.  The initial investment can be depreciated on a MACRS basis over a 7-year period, and the marginal income tax rate is 40%.  At the end of 5 years, the forge is expected to have a market value equal to 32% of its original cost.  Based on this information, the engineering and marketing departments at DMC have prepared the cash flow estimates shown in the table on the next page.

Tasks

Provide your responses to the following three items in a Word document to be submitted electronically through Isidore.  Additionally, please submit the Excel file used to generate the spiderplot and tornado diagram.

a) Assuming a MARR of 15%, determine the net present worth (NPW) of the project.

b) Perform a sensitivity analysis which includes the following variables:  unit price, demand, variable cost, fixed costs, and salvage value. Vary each variable by +50% in 5% increments.  Develop both a spiderplot and a tornado diagram' copy and paste the respective plots into the Word document. 

c) For each of the five variables, determine whether the NPW is very sensitive, fairly sensitive, or relatively insensitive to changes.  Discuss the results and the impact on DMC's decision to pursue the project.

After-Tax Cash Flow

 

YR0

YR1

YR2

YR3

YR4

YR5

Revenues

 

 

 

 

 

 

  Unit price

 

50

50

50

50

50

  Demand (units)

 

2,000

2,000

2,000

2,000

2,000

  Sales revenue

 

100,000

100,000

100,000

100,000

100,000

Expenses

 

 

 

 

 

 

  Unit variable cost

 

15

15

15

15

15

  Variable cost

 

30,000

30,000

30,000

30,000

30,000

  Fixed cost

 

10,000

10,000

10,000

10,000

10,000

  Depreciation

 

17,863

30,613

21,863

15,613

5,575

Taxable income

 

42,137

29,387

38,137

44,387

54,425

Income taxes (40%)

 

16,855

11,755

15,255

17,755

21,770

Net income

 

25,282

17,632

22,632

26,632

32,655

Cash Flow Statement

 

 

 

 

 

 

Operating activities

 

 

 

 

 

 

  Net income

 

25,282

17,632

22,632

26,632

32,655

  Depreciation

 

17,863

30,613

21,863

15,613

5,575

Investment activities

 

 

 

 

 

 

  Investment

(125,000)

 

 

 

 

 

  Salvage

 

 

 

 

 

40,000

  Gains tax

 

 

 

 

 

(2,611)

Net cash flow

(125,000)

43,145

48,245

44,745

42,245

75,619

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Microeconomics: Carry out sensitivity analysis that includes demand variable
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