Question

QUESTION 1 i) A metallurgical engineer is considering two materials for use in a space vehicle. All estimates are made. Whichii) Select which alternative using AW and i= (10) 12% - per year. First Cost, $ -200,000 80,000 Annual operating cost, S/year

QUESTION 1 i) A metallurgical engineer is considering two materials for use in a space vehicle. All estimates are made. Which should be selected on the basis of Annual worth comparison at an interest rate of 15% per year? (10) Material Y Material X First cost, $ Maintenance cost, S per year9,000 Salvage value, $ Life, years -15,000 35,000 2,000 20,000 Solution:
ii) Select which alternative using AW and i= (10) 12% - per year. First Cost, $ -200,000 80,000 Annual operating cost, S/year 7,000 -30,000 Salvage value, $ 5,000 Life, years
0 0
Add a comment Improve this question Transcribed image text
Answer #1

(i) Calculate the Annual Worth AW of Material X:-

First Cost = $15000

Maintenance Cost = $9000

Salvage = $2000

Life = 5 Years

PVAF @15% for 5 years = 3.3522

PVIF @15% for 5 years = 0.4972

[-First cost – Maintainance cost per year (PVAF @15% for 5 years) + Salvage (PVIF @15% for 5 years)]/ PVAF @15% for 5 years

[-$15000 - $9000(3.3522) + $2000(0.4972)]/3.3522

[-$15000 – $30169.8 + $994.4]/3.3522

-$44175.4/3.3522

= -$13178

Calculate the Annual Worth AW of Material Y:-

First Cost = $35000

Maintenance Cost = $7000

Salvage = $20000

Life = 5 Years

PVAF @15% for 5 years = 3.3522

PVIF @15% for 5 years = 0.4972

[-First cost – Maintainance cost per year (PVAF @15% for 5 years) + Salvage (PVIF @15% for 5 years)]/ PVAF @15% for 5 years

[-$35000 - $7000(3.3522) + $20000(0.4972)]/3.3522

[-$35000 – $23465.4 + $9944]/3.3522

-$48521.4/3.3522

= -$14474

On the basis of above analysis, Material X should be selected

(ii) Calculate the Annual Worth AW of Alternative C:-

First Cost = $80000

Annual Operating Cost = $30000

Salvage = $5000

Life = 8 Years

PVAF @12% for 8 years = 4.9676

PVIF @12% for 8 years = 0.4039

[-First cost – Annual Operating cost per year (PVAF @12% for 8 years) + Salvage (PVIF @12% for 8 years)]/ PVAF @12% for 8 years

[-$80000 - $30000(4.9676) + $5000(0.4039)]/4.9676

[-$80000 – $149028 + $2019.5]/4.9676

-$227008.5/4.9676

= -$45698

Calculate the Annual Worth AW of Alternative D:-

First Cost = $200000

Annual Operating cost = $7000

(-First cost * Int Rate) – Maintainance cost per year

(-$200000 * 0.12) - $7000

= - $31000

On the basis of above analysis, Alternative D should be selected

Add a comment
Know the answer?
Add Answer to:
QUESTION 1 i) A metallurgical engineer is considering two materials for use in a space vehicle. All estimates are made....
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT