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A company needs to add boring machine capacity to handle its increased business.

ID: 1123798 • Letter: A

Question

A company needs to add boring machine capacity to handle its increased business. Typically, the products are very intricate and precise and are produced in small quantities. The choice lies between one fully automatic tape-controlled machine or two manually controlled machines. The manual machines will cost $36,500 each. They have estimated lives of 20 years with estimated salvage values of $5,000 each. Annual maintenance and energy cost is estimated as $5,000 for each machine. A major overhaul will be required every 5 years at an estimated cost of $3,000 for each machine. Estimated costs of labor and labor extras are $24,000 a year for each machine. The automatic tape-controlled machine consists of the basic machine and the tape control unit. The basic machine will cost $90,000 and have an estimated life of 20 years with a salvage value of $6,000. Estimated annual maintenance and energy costs are $3,500. A major overhaul will be required every 5 years at an estimated cost of $6,000. The tape control unit will cost $30,000 and have an estimated life of 10 years and a salvage value of $2,500. Its annual maintenance and energy cost will be $1,000. Estimated costs of labor and labor extras are $36,000 a year. If the automatic machine is selected, the estimated extra annual income tax payment is $5,480. Compare the alternatives on the basis of the present worth of the cost of 20 years’ service, using an after-tax i* of 8%.

Explanation / Answer

We have been given information about the capital costs, annual costs and taxes and salvage values for two boring machine variants that may be installed by one company to increase its productions. The automatic and manual variety of machines vary as per their various cost parameters. We are asked to evaluate the alternatives basis the present worth of the cost of the services. We tabulate the costs in the table below. This would help us delineate the annual, periodic components to calculate the net present value. In table 2 we calculate the the Net present value using the NPV function of MS-excel. It is obvious that present value of the services of the fully automatic machine is $582754.17 and that of the manual variant is $643653.77. We would then recommend the fully automatic variant.

information given about cost and cash flow for the machines

fully automatic

number of years

manual controlled

number of years

capital cost

per machine cost

90000

1

36500

2

tape control unit cost

30000

2

NA

periodic cost

overhaul cost per machine in 5 years

6000

3

6000

3

annual costs

annual maintainance and enery per machine

3500

20

5000

20

annual maintainance and enery TCU

1000

20

labor and extra per year per machine

36000

20

24000

20

extra income tax

5480

20

Total Annual Cost for all machines

45980

58000

salvage value

salvage value machines

6000

1

10000

2

salvage value tape control unit

2500

2

TABLE - 2 - NPV Calculations

information given about cost and cash flow for the machines

fully automatic

number of years

manual controlled

number of years

capital cost

per machine cost

90000

1

36500

2

tape control unit cost

30000

2

NA

periodic cost

overhaul cost per machine in 5 years

6000

3

6000

3

annual costs

annual maintainance and enery per machine

3500

20

5000

20

annual maintainance and enery TCU

1000

20

labor and extra per year per machine

36000

20

24000

20

extra income tax

5480

20

Total Annual Cost for all machines

45980

58000

salvage value

salvage value machines

6000

1

10000

2

salvage value tape control unit

2500

2

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