In: Economics
A major industrial firm desires an economic analysis to determine which of two different machines should be purchased. Each machine is capable of performing the same task in a given amount of time. Assume the minimum attractive rate of return (MARR) is 8%. The following data are to be used in your analysis:
Machine X | Machine Y | |
First Cost | $5,000 | $8,000 |
Annual Maintenance Cost | $0 |
$150 |
Salvage Value | $0 |
$2,000 |
Estimated Life (years) | 5 | 12 |
Which machine would you choose? Prepare Cash Flow Diagrams. Base your answer on annual cost.
Answer:
Given that:
A major industrial firm desires an economic analysis to determine which of two different machines should be purchased .
1) Annual cost of machine x = first cost(a/p,i,n)
Annual cost of machine x = -5,000(a/p,8%,5)
Annual cost of machine x = -5,000 * 0.2505
Annual cost of machine x = -1,252.5
2) Annual cost of machine y = first cost(a/p,i,n) + amc + salvage value(a/f,i,n)
Annual cost of machine y = -8,000(a/p,8%,12) - 150 + 2,000(a/f,8%,12)
Annual cost of machine y = -8,000 0.1327 - 150 + 2,000 0.0527
Annual cost of machine y = -1,061.6 - 150 + 105.4
Annual cost of machine y = -1,106.2
since tha annual cost of machine y is the highest therefore we will select machine y.