You own several copiers that are currently valued at $11,000, combined. Annual operating and maintenance costs for all copiers are estimated at $8,000 next year, increasing by 10 percent each year thereafter. Salvage values decrease at a rate of 20 percent per year. You are considering replacing your existing copiers with new ones that have a suggested retail price of $26,000. Operating and maintenance costs for the new equipment will be $6,000 over the first year, increasing by 10 percent each year thereafter. The salvage value of the new equipment is well approximated by a 20 percent drop from the suggested retail price per year. Furthermore, you can get a trade-in allowance of $12,000 for your equipment if you purchase the new equipment at its suggested retail price. Your MARR is 8 percent. Should you replace your existing equipment now? Click the icon to view the table of compound interest factors for discrete compounding periods when i = 8%. year(s) with a total EAC of $ year(s) and a total EAC of $ You The economic life of the existing equipment is equipment, which has an economic life of equipment now. (Round to the nearest whole number as needed.) This is a total EAC than the new replace your existing
You own several copiers that are currently valued at $11,000, combined. Annual operating and maintenance costs for all copiers are estimated at $8,000 next year, increasing by 10 percent each year thereafter. Salvage values decrease at a rate of 20 percent per year. You are considering replacing your existing copiers with new ones that have a suggested retail price of $26,000. Operating and maintenance costs for the new equipment will be $6,000 over the first year, increasing by 10 percent each year thereafter. The salvage value of the new equipment is well approximated by a 20 percent drop from the suggested retail price per year. Furthermore, you can get a trade-in allowance of $12,000 for your equipment if you purchase the new equipment at its suggested retail price. Your MARR is 8 percent. Should you replace your existing equipment now? Click the icon to view the table of compound interest factors for discrete compounding periods when i = 8%. year(s) with a total EAC of $ year(s) and a total EAC of $ You The economic life of the existing equipment is equipment, which has an economic life of equipment now. (Round to the nearest whole number as needed.) This is a total EAC than the new replace your existing
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
Don't upload this solution I vill give 10 downvotes
Plz give only correct solution
![Step 1: Define the given problem
To determine whether you should replace your
existing equipment with the new equipment, we
need to calculate the Equivalent Annual Cost
(EAC) for both options and compare them. The
option with the lower EAC is the more
economical choice.
Step 2: Choose the replacement to be done or
not
Let's start by calculating the EAC for your existing
equipment:
Calculate the annual operating and maintenance
cost for the existing equipment for the first year
and
and subsequent years:
Year 1: $8,000
Year 2: $8,000
1.10 $8,800
Year 3: $8,800
1.10 = $9,680
Year 4: $9,680 1.10 = $10,648
Year 5: $10,648*1.10 = $11,712
Calculate the salvage value for the existing
equipment for each year:
Year 1: $11,000 (initial value)
Year 2: $11,000 0.80 = $8,800
Year 3: $8,800 0.80 = $7,040
Year 4: $7,040 * 0.80 = $5,632
Year 5: $5,632 * 0.80 = $4,506
Calculate the net cash flow for each year by
subtracting the annual operating and
maintenance cost from the salvage value:
Year 1: $11,000 - $8,000 $3,000
real 1.
Year 2: $8,800-$8,800 = $0
Year 3: $7,040 - $9,680=-$2,640
Year 4: $5,632-$10,648=-$5,016
Wear
Year 5: $4,506-$11,712=-$7,206
Calculate the present value (PV) of these cash
Flore
flows at a 8% MARR (Minimum Acceptable Rate of
Return):
Year 1
Year 1: $3,000/(1+0.08) = $2,777.78 (rounded to
the nearest cent)
the near
Year 2: $0/(1+0.08)^2 = $0
Year 3:-$2,640/(1+0.08)^3=-$2,095.16
(rounded to the nearest cent)
Year 4:-$5,016/(1+0.08)^4 =-$3,686.90
(rounded to the nearest cent)
Year 5:-$7,206/(1+0.08)^5=-$4904.28 (rounded
to the nearest cent)
Calculate the EAC for the existing equipment:
EAC existing (PV Year 1 + PV Year 2 + PV Year 3+
PV Year
Year 4 + PV Year 5) / Annuity Factor (8%, 5
years)
years)
Using the annuity factor for 8% and 5 years from
a financial table or calculator, we get:
Annuity Factor (8%, 5 years) = 3.993
EAC existing (2,777.78 + $0-2,095.16-3,686.90
-4904.28)/3.993
=-$1980.61 (rounded to the nearest cent)
Now, let's calculate the EAC for the new
equipment:
Calculate the net cash flow for each year for the
cance
new equipment. This includes the initial cost,
operating and maintenance costs, and salvage
values:
Year 1: Initial Cost - Operating Cost-$26,000-
$6,000-$20,000
Year 2: $20,000 - ($6,000
Year 3: $13,400 - ($6,000
Year 4: $6,140- ($6,000
Year 5: $-1846-($6,000 1.10^4) = -$10330
Calculate the present value (PV) of these cash
flows at an 8% MARR:
1.10) = $13,400
1.10^2) = $6,140
1.10^3) =$-1846
MAN
Year 1: $20,000/(1+0.08) = $18,518.52 (rounded.
real 1.920,000
to the nearest cent)
Year 2: $13,400/(1+0.08)^2 = $11,488.34
(rounded to the nearest cent)
Year 3: $6140/(1+0.08)^3 = $4874.13 (rounded
to the nearest cent)
Year 4: $-1846/(1+0.08)^4 =-$1356.87 (rounded
to the nearest cent)
Year 5:-$10330/(1+0.08)^5=-$7030.42
(rounded to the nearest cent).
Calculate the EAC for the new equipment:
EAC new (PV Year 1 + PV Year 2 + PV Year 3 + PV
Year 4+ PV Year 5) / Annuity Factor (8%, 5 years)
Using the same annuity factor as before (8%, 5
years), we get:
EAC new (18,518.52 + 11,488.34 +4874.13 -
1356.87-7030.42)/3.993
= $6635.04 (rounded to the nearest cent)
Now, let's compare the EAC for the existing
equipment (-$1980.61) and the new
equipment ($6635.04):
Since the EAC for the existing equipment is
negative, it means that keeping the existing
equipment is the more economical choice.
Therefore, you should not replace your
existing equipment with the new equipment
now.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7466ed5-7fd4-4222-843b-1c63be417af5%2F74528054-688f-4e44-a1af-d32031db55ff%2Fbo9mt1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Step 1: Define the given problem
To determine whether you should replace your
existing equipment with the new equipment, we
need to calculate the Equivalent Annual Cost
(EAC) for both options and compare them. The
option with the lower EAC is the more
economical choice.
Step 2: Choose the replacement to be done or
not
Let's start by calculating the EAC for your existing
equipment:
Calculate the annual operating and maintenance
cost for the existing equipment for the first year
and
and subsequent years:
Year 1: $8,000
Year 2: $8,000
1.10 $8,800
Year 3: $8,800
1.10 = $9,680
Year 4: $9,680 1.10 = $10,648
Year 5: $10,648*1.10 = $11,712
Calculate the salvage value for the existing
equipment for each year:
Year 1: $11,000 (initial value)
Year 2: $11,000 0.80 = $8,800
Year 3: $8,800 0.80 = $7,040
Year 4: $7,040 * 0.80 = $5,632
Year 5: $5,632 * 0.80 = $4,506
Calculate the net cash flow for each year by
subtracting the annual operating and
maintenance cost from the salvage value:
Year 1: $11,000 - $8,000 $3,000
real 1.
Year 2: $8,800-$8,800 = $0
Year 3: $7,040 - $9,680=-$2,640
Year 4: $5,632-$10,648=-$5,016
Wear
Year 5: $4,506-$11,712=-$7,206
Calculate the present value (PV) of these cash
Flore
flows at a 8% MARR (Minimum Acceptable Rate of
Return):
Year 1
Year 1: $3,000/(1+0.08) = $2,777.78 (rounded to
the nearest cent)
the near
Year 2: $0/(1+0.08)^2 = $0
Year 3:-$2,640/(1+0.08)^3=-$2,095.16
(rounded to the nearest cent)
Year 4:-$5,016/(1+0.08)^4 =-$3,686.90
(rounded to the nearest cent)
Year 5:-$7,206/(1+0.08)^5=-$4904.28 (rounded
to the nearest cent)
Calculate the EAC for the existing equipment:
EAC existing (PV Year 1 + PV Year 2 + PV Year 3+
PV Year
Year 4 + PV Year 5) / Annuity Factor (8%, 5
years)
years)
Using the annuity factor for 8% and 5 years from
a financial table or calculator, we get:
Annuity Factor (8%, 5 years) = 3.993
EAC existing (2,777.78 + $0-2,095.16-3,686.90
-4904.28)/3.993
=-$1980.61 (rounded to the nearest cent)
Now, let's calculate the EAC for the new
equipment:
Calculate the net cash flow for each year for the
cance
new equipment. This includes the initial cost,
operating and maintenance costs, and salvage
values:
Year 1: Initial Cost - Operating Cost-$26,000-
$6,000-$20,000
Year 2: $20,000 - ($6,000
Year 3: $13,400 - ($6,000
Year 4: $6,140- ($6,000
Year 5: $-1846-($6,000 1.10^4) = -$10330
Calculate the present value (PV) of these cash
flows at an 8% MARR:
1.10) = $13,400
1.10^2) = $6,140
1.10^3) =$-1846
MAN
Year 1: $20,000/(1+0.08) = $18,518.52 (rounded.
real 1.920,000
to the nearest cent)
Year 2: $13,400/(1+0.08)^2 = $11,488.34
(rounded to the nearest cent)
Year 3: $6140/(1+0.08)^3 = $4874.13 (rounded
to the nearest cent)
Year 4: $-1846/(1+0.08)^4 =-$1356.87 (rounded
to the nearest cent)
Year 5:-$10330/(1+0.08)^5=-$7030.42
(rounded to the nearest cent).
Calculate the EAC for the new equipment:
EAC new (PV Year 1 + PV Year 2 + PV Year 3 + PV
Year 4+ PV Year 5) / Annuity Factor (8%, 5 years)
Using the same annuity factor as before (8%, 5
years), we get:
EAC new (18,518.52 + 11,488.34 +4874.13 -
1356.87-7030.42)/3.993
= $6635.04 (rounded to the nearest cent)
Now, let's compare the EAC for the existing
equipment (-$1980.61) and the new
equipment ($6635.04):
Since the EAC for the existing equipment is
negative, it means that keeping the existing
equipment is the more economical choice.
Therefore, you should not replace your
existing equipment with the new equipment
now.
![You own several copiers that are currently valued at $11,000, combined. Annual operating and maintenance costs for all
copiers are estimated at $8,000 next year, increasing by 10 percent each year thereafter. Salvage values decrease at a rate
of 20 percent per year. You are considering replacing your existing copiers with new ones that have a suggested retail price
of $26,000. Operating and maintenance costs for the new equipment will be $6,000 over the first year, increasing by 10
percent each year thereafter. The salvage value of the new equipment is well approximated by a 20 percent drop from the
suggested retail price per year. Furthermore, you can get a trade-in allowance of $12,000 for your equipment if you purchase
the new equipment at its suggested retail price. Your MARR is 8 percent. Should you replace your existing equipment now?
Click the icon to view the table of compound interest factors for discrete compounding periods when i = 8%.
The economic life of the existing equipment is
equipment, which has an economic life of
equipment now.
(Round to the nearest whole number as needed.)
year(s) with a total EAC of $
year(s) and a total EAC of $ You
This is a
total EAC than the new
replace your existing](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7466ed5-7fd4-4222-843b-1c63be417af5%2F74528054-688f-4e44-a1af-d32031db55ff%2Fjivaddl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You own several copiers that are currently valued at $11,000, combined. Annual operating and maintenance costs for all
copiers are estimated at $8,000 next year, increasing by 10 percent each year thereafter. Salvage values decrease at a rate
of 20 percent per year. You are considering replacing your existing copiers with new ones that have a suggested retail price
of $26,000. Operating and maintenance costs for the new equipment will be $6,000 over the first year, increasing by 10
percent each year thereafter. The salvage value of the new equipment is well approximated by a 20 percent drop from the
suggested retail price per year. Furthermore, you can get a trade-in allowance of $12,000 for your equipment if you purchase
the new equipment at its suggested retail price. Your MARR is 8 percent. Should you replace your existing equipment now?
Click the icon to view the table of compound interest factors for discrete compounding periods when i = 8%.
The economic life of the existing equipment is
equipment, which has an economic life of
equipment now.
(Round to the nearest whole number as needed.)
year(s) with a total EAC of $
year(s) and a total EAC of $ You
This is a
total EAC than the new
replace your existing
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 6 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![ENGR.ECONOMIC ANALYSIS](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9780190931919/9780190931919_smallCoverImage.gif)
![Principles of Economics (12th Edition)](https://www.bartleby.com/isbn_cover_images/9780134078779/9780134078779_smallCoverImage.gif)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
![Engineering Economy (17th Edition)](https://www.bartleby.com/isbn_cover_images/9780134870069/9780134870069_smallCoverImage.gif)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
![ENGR.ECONOMIC ANALYSIS](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9780190931919/9780190931919_smallCoverImage.gif)
![Principles of Economics (12th Edition)](https://www.bartleby.com/isbn_cover_images/9780134078779/9780134078779_smallCoverImage.gif)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
![Engineering Economy (17th Edition)](https://www.bartleby.com/isbn_cover_images/9780134870069/9780134870069_smallCoverImage.gif)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
![Principles of Economics (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305585126/9781305585126_smallCoverImage.gif)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
![Managerial Economics: A Problem Solving Approach](https://www.bartleby.com/isbn_cover_images/9781337106665/9781337106665_smallCoverImage.gif)
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
![Managerial Economics & Business Strategy (Mcgraw-…](https://www.bartleby.com/isbn_cover_images/9781259290619/9781259290619_smallCoverImage.gif)
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education