4. Two mutually exclusive alternatives, a flexible manufacturing cell and fixed automation, have different cost

and revenue characteristics as follows:

Flexible Cell Fixed Automation

Investment $2,000,000 $1,700,000

Life 6 years 3 years

Salvage value $0 $0

Gross cash savings $800,000 in first year; $800,000 per year

increasing by $100,000

per year thereafter

Cash disbursements $300,000 per year $100,000 in first year;

decreasing to $80,000

in second year and

$70,000 in third year

Minimum Attractive Rate of Return (MARR) = 20 % pa.

Study period = 6 years, assuming "repeatability"

Using NPV, which alternative is preferred?

5. Consider the following two mutually exclusive projects and recommend which one should be selected using

NPV method.

Machine

A B

First cost $20,000 $30,000

Life 3 years 6 years

Salvage value $4,000 $3,000

Annual receipts $10,000 $14,000

Annual disbursements $4,400 $8,600

Minimum attractive rate of return = 15% p.a.

Study period = 6 years, assuming "repeatability"

6 It is desired to compare the after-tax economics of two mutually exclusive alternatives with the following

before-tax data:

Semiautomatic Automatic Machine Machine

First cost $100,000 $150,000

Useful life 5 years 5 years

Market value at end of useful life $10,000 $30,000

Annual before-tax cash disbursements $50,000 $15,000

Annual cash revenues $110,000 $90,000

MARR (after tax) = 15% p.a.

Both alternatives are to be depreciated using straight-line depreciation, which is 20% of the initial cost each

year for 5 years. A 40% tax rate is assumed.

Which alternative is better after tax using NPV?

7. It is desired to compare the after-tax economics of two mutually exclusive alternatives with the following

before-tax data:

Semiautomatic Machine AutomaticMachine

First cost $100,000 $150,000

Useful life 4 years 5 years

Market value at end of useful life $0 $0

Annual before-tax cash disbursements $50,000 $15,000

Annual cash revenues $110,000 $90,000

MARR (after tax) = 15% p.a.

Study period = 4 years

Both alternatives are to be depreciated using straight-line depreciation over the life of the machine. It is

assumed that the automatic machine can be sold at the book value after 4 years (i.e. 20% of the first cost

after 4 years of depreciation). A 40% tax rate is assumed.

Which alternative is better after tax using NPV?

8. A company, whose earnings put them in the 35% marginal tax bracket, is considering purchasing a piece of

equipment for $25,000. The equipment will be depreciated using the straight line method over a 4 year

useful life to a salvage value of $5,000. It is estimated that equipment will brings the company $8,000 each

year for 4 years.

Should the equipment be purchased? Use an interest rate of 10%

9 A manufacturer is contemplating the purchase of an additional forklift truck to improve material handling in

the plant. He is considering two popular models, the Convair T6 and the FMC 340. The relevant financial

data are shown below. His MARR is 12%.

Model FirstCost Life Salvage Value AnnualOperating Cost

Convair T6 $20,000 6 $2,000 $8,000

FMC 340 $29,000 7 $4,000 $4,000

(a) Which model is more economical?

(b) List two important assumptions that are implicit in the computation in (a)

10 Fluid Dynamics Company owns a pump that it is contemplating replacing. The old pump has annual

operating and maintenance costs of $8000/year: it can be kept for 4 years more an will have a zero salvage

value at that time. The old pump can be traded in on a new pump. The trade-in value is $4000. The new

pump will cost $18000 and have a value of $9000 in 4 years and will have annual operating and

maintenance costs of $4500/year.

Using the Cash-flow Approach to evaluate the investment alternative based on the present worth method

and a planning horizon of 4 years (MARR = 10%).