i already have the answer i just need some explintion for each question ( how do i get to the answer )
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Sami
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Almalki
TECH-i
| n |
eering
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5 |
2 Economics Eng
Vov 26, 2
| 0 |
12
Problem 8.5 |
Two different routes are under consideration for a new interstate highway: |
Length of |
Annual |
Highway |
First Cost |
Upkeep Cost |
The ” Long” route |
22 miles |
$21 million |
$140,000 |
Transmountain shortcut |
10 miles |
$45 million |
$165,000 |
For either route, the volume of traffic will be 400,000 cars per year. These cars |
are assumed to operate at
| $0 |
.25 per mile. Assuming a 40-year life for each road
and an interest rate of 10%, determine which route should be selected. |
User’s annual cost= 22miles*$0,25 per mile*400,000 cars=$2,200,000 |
Sponsor’s annual cost=$21,000,000(A/P,10%,40)+$140,000=$2,277,488 |
Short cut: |
User’s annual cost= 10miles*$0,25*400,000 cars= $1,000,000 |
Sponsor’s annual cost=$45,000,000(A/P,10%,40)+$165,000=$4,766,674 |
Problem 9.1 |
Identify which of the following expenditures is considered as a capital expenditure that |
must be capitalized (depreciated): |
(a) Purchase land to build a warehouse at $
| 3 |
00,000.
(b)Purchased a copy machine at $15,000. |
( c) Installed a conveyor syatem at a cost of $55,000 to automate some part of production processes. |
(d)Painted the office building, both interior and exerior, at a cost of
|
|
|
|
| $22,000 |
.
(e)Repaved the parking lot at a cost of $25,000. |
(f) Installed a purified water fountain in the employee lounge at a cost of $3,000. |
(g) Purchased a spare part for a stamping machine at a cost of $3,800. |
(h) Paid $12,000 to lease a dump truck for six months. |
(i) Purchased a patent on an energy-saving device over five years at a cost of $30,000. |
a,b,e,f, and h (amortization,rather than depreciation) |
Problem 9.9 |
Consider the following data on an asset: |
Cost of the asset, I |
|
| $130,000 |
Useful life, N |
5 years |
Salvage value, S |
|
|
| $20,000 |
Compute the depreciation allowance and the resulting book values using the following method: |
|
| Dn |
=Book value at beginning of year n – Salvage value,over, Remaining useful life at beginning of year n
SL |
DDB |
n Dn
| Bn |
Dn Bn
0 $130,000 $130,000
1 $22,000
$108,000 |
$52,000 |
$78,000 |
2 $22,000
$86,000 |
$31,200 |
$46,800 |
3 $22,000
$64,000 |
$18,720 |
$28,080 |
4 $22,000
$42,000 |
$693 |
$20,000
5 $22,000 $20,000 $0 $20,000
(a) Depreciation rate=1/5 for SL |
(b) Deprciation rate= 2/5 for DDB |
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Sami
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Almalki
TECH 452 Economics Engineering |
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OV – 19 – 2
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12
Problem 7.4 |
Assume that you are going to buy a new car for $25,000.You will be able to make a down payment of |
$
|
| 3 |
,000.The remaining $22,000 will be financed by the dwaler.The dealer computes your monthlypayment
to be $547.47 for48 months of financing. What is the dealer’s annual rate of return on this car loan? |
$22,000=$547.47(P/A,I,48) |
i=0.75% |
r=0.75*12=9% |
i=(1+i)^-1 |
i=(1+0.0075)^12 – 1=9.38% per year |
Problem 7.11 |
Consider four projects with the following sequences of cash flows |
Net Cash Flow |
N
Project A |
ProjectB |
ProjectC |
ProjectD |
0
| ($25,000) |
(
| $23,000 |
)
$43,233 |
($56,600) |
1
$12,000 |
| $32,000 |
|
| ($18,000) |
($2,500) |
2 $23,000 $32,000 ($18,000)
($6,459) |
3
$34,000 |
($25,000) ($18,000)
$88,345 |
a) Identify all the simple investments. |
Simple investment: Project A,D project C Simple borrowing. |
b) Identify all the nonsimple investments |
Non- simple investment: Project B |
c) Comare the i* for each project using E
| x |
el.
Project A: |
PW(I)=-$25,000+$12,000(P/F,I,1)+$23,000(P/F,I,2)+$34,000(P/F,I,3)=0
i^=59.32% |
ProjectB: |
PW(I)=$23,000+$32,000(P/A,I,2)- $25,000(P/F,I,3)=0 |
I^=82.72% |
Project C: |
PW(I)=$43,233-$18,000(P/A,I,3)=0 |
I^=12% A=borrowing rate of return |
Project D: |
PW(I)= – $56,500 – $2,500(P/F,I,1) – $6,459(P/F,I,2)+$88,345(P/F,I,3)=0 |
I^=11.37% |
d) Which projet has no rate of return? |
The answer could be project C on the grounds that its cash flowrepresent a loan not an investment. |
Problem 7.20 |
Consider the following project’s cash flows: |
N
net cash flow |
0
($3,000) |
1
$800 |
2
$900 |
3 x
Assume that the project’s IRR is 10% |
(A) find the value of X |
PW(I)=P/F,I,N) |
PW(10%)= – $3,000+ $800(P/F,10%,1) + $9,000(P/F,10%,2)+ X (P/F,10%,3)=0 |
X= $2,035 |
(B) Is this porject acceptable at MARR=8%? |
Since IRR=8%, the project is acceptable. |
&A Page &P
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Sami Almalki |
TECH 452 – Engineering Economics |
5-Nov-12 |
Homework # 4 |
Problem 6.1 |
An engineering design firm needs to borrow $
| 3 |
0 |
0,000 from a local bank at an interest rate of 9% over five years.
What is the required annual equal payment to retire the lona in five years? |
AE(9%)=$300,000(A/P,9%,5)= $77,127.74 |
Problem 6.9 |
Cosider the following sets of investment projects: |
Period |
Project Cash Flow |
0
($4,300) |
-3,500 |
-5,500 |
-3,800 |
1
| $0 |
$1,500 |
$3,000 |
|
|
| $1,800 |
2 $0 $1,800
$2,000 |
$1,800
3
$5,500 |
$2,100 |
$1,000 |
$1,800
Cumpute the equivalent annual worth of each project at i=13% determine the acceptability of each project. |
AE(13%)a= -$4,300(A/P,13%,3)+$5,000(A/F,13%,3)= -$206.8 Not accept |
AE(13%)b= – $3,500(A/P,13%,3)+$1,500+$300((A/G,13%,3)=$293. Accept |
AE(13%)c= – $5,500(A/P,13%,3)+$ 3,000 – $1,000(A/G,13%,3)= – $247.95 Not accept |
AE(13%)d= – $3,800(A/P,13%,3)+$1,800=$ 190.7 Accept |
Problem6.15 |
Susan is considring buying a 2011 Smart for Two costing $21,635 and finds that the retaining values of the vehical over |
next five years are at follow : |
Prercent of the total value retained after 36 months:28%. |
If her interst rate is 6% compounded annually, what is the ownership cost of the vehicle over three years? Five years? |
CR(6%)3 years= ($21,635 – $6,057.80)(A/P,6%,3)+(0.06)($6,057.80)=$6,191.05 |
CR(6%)5 years= ($21,635 – $3,677.95)(A/P,6%,5)+(0.06)($3,677.95)=$4,483.68 |
Problem6.16 |
Nelson Electronics, Inc., just purchased a soldering machineto be used in its assembly cell for flexible disk drives. |
This machine costs $248,000. because of the specialized function it performs, its useful life is estimated to be five |
years. At the end of the time, its salvage value is estimated to be $43,000. What is the capital cost for the investment in the firm’s interest rate is 18%? |
CR(18%)=($248,000 – $43,000)(A/P,18%,5)+$43,000(0.18)=$73,299 |
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