ekotek_alfiano fuadi2

7/23/2019 Ekotek_Alfiano Fuadi2

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2.1 Look up the numerical value for the following factors from the interest tables.

1. ( P/F,6,!" 2. ( #/P,1$,1$"

P% $.62&' #% $.162&

i 6 i 1$n ! n 1$

F 1 P 1

P $.62&'12)&1) # $.162&')*'*

2.)

+eg. ost - 1'2.$$ i 1$

2 ears - !.2$ n 2

F - 1'2.$$

P - 11&.)6

2.

Pri0e - 1$$,$$$.$$ i 6

ave - $,$$$.$$ n 1'

P - $,$$$.$$

F/P - 11),$'.2$

2.&

ost - 22$,$$$.$$ i 1$

n )

P - 22$,$$$.$$

#/P -!!,'6.26

# manufacturer of o3roa4 vehicles is consi4ering the purchase of 4ual3a5is inclino4istributor of the inclinometers is temporaril overstocke4 an4 is oering them at

purchaser gets them now instea4 of 2 ears from now, which is when the will beunit8 he compan woul4 pa the regular price, if purchase4 in 2 ears. #ssume th

# famil that won a -1$$,$$$ pri0e on #merica9s Funniest :ome %i4eos 4eci4e4 to

their chil4 who was responsible for the pri0e. 7f the fun4 earne4 interest at 6 perwas starte48

# compan that sells high3purit laborator chemicals is consi4ering investing in nbetter matching the si0e of the pro4ucts to be shippe4 to the si0e of the shipping cpurchase an4 install, how much must the compan save each ear for ) ears in o1$ per ear8


2/28

2.*

ost - 1,)$$,$$$.$$ i 1!

n 1$

P - 1,)$$,$$$.$$

F/P -6,!$),*!6.22

2.11

=epress - 6$$,$$$.$$ i !

ost - !$$,$$$.$$ n

+epair - 2,$$$.$$ P - 1&,$$$.$$

Present - 1&,$$$.$$ F/P - 2&,1)2.'1

2.1)

ost - 11$,$$$.$$ i 12

>5pect - )),$$$.$$ n '

# - )),$$$.$$

P/# - 1$$,2)2.)

2.1

ave - *$,$$$.$$ i 6

n 2$

P - *$,$$$.$$

7f ?:= Plastics purchases a new buil4ing now for -1.) million for its corporate heaears8 he compan e5pects all e5pen4itures to earn a rate of return of at least 1!

Five ears ago a consulting engineer purchase4 a buil4ing for compan o@ces conresult, some of the bricks were 4eteriorate4 from their e5posure to rain an4 snow.price of the buil4ing was 2 below the price of comparable, structurall soun4 buan4 arreste4 further 4eterioration b appling an e5tra3strength solvent3base4 +%buil4ing to its fair market value. 7f the 4epresse4 purchase price of the buil4ing wa

-2,$$$, what is the e;uivalent value of the Cforce4 appreciationD to4a, if the inte

ringe pumps often fail because reagents a4here to the ceramic piston an4 4eteri

integrate4 polmer 4namic seal that provi4es a higher sealing force on the sealincustomers e5pects to re4uce 4owntime b )$ as a result of the new seal 4esign.-11$,$$$ per ear for the ne5t ' ears, how much coul4 the compan aor4 to spof 12 per ear8

he Public ervice Boar4 (PB" awar4e4 two contracts worth a combine4 -1.$& millreconstruct the spillwa that was severel 4amage4 in a oo4 2 ears ago. he Pcame in -*$,$$$ lower than engineers e5pecte4. 7f the pro


3/28

#/P - !2,!2.))

2.1&

>5tra ost - 1'.$$ i 6

n !

# - 1'.$$

F/# -1)!.6

2.1*

F - 11$.$$ i 1$

n !

# - 11$.$$

F/# -1,2&.*

2.21 Fin4 the numerical value of the following factors using (a" interpolation an4 (b" the

1. (#/P,1),1" 2. (P/?,2&,1$"

a. 7nterpolation a. 7nterpolation

i1 12 i1 26

i2 1' i2 2!

n 1 n 1$

P 1

#1 $.1'6!2'2)*6 P1 *.126**6'$!

#2 $.162!$!*6) P2 !.6'*!2$'6

5 $.$$&**2)61& 5 $.')1&21!1

#/P,1),1 $.1'!166$1) P/?,2&,1$ *.$!11'2'22&

b. Formula b. Formula

#/P,1),1 $.1'&'1&&*& P/?,2&,1$ *.$6&*2$&&

2.2)

7n an eort to re4uce chil4hoo4 obesit b re4ucing the consumption of sugare4 ban4 other soft 4rinks. # surve b +olan4 turm of &)$$ A fth3gra4ers reveale4 thaso4a, no real 4ierence in overall consumption was notice4. :owever, if ta5es wercalculate4 the woul4 make a signiAcant 4ierence. For a stu4ent who consumes 1e5tra cost from ' cents to 1! cents per so4a8 #ssume the stu4ent consumes so4asan interest rate of 6 per ear.

:enr Hueller uppl o. sells tamperproof, normall open thermostats (i.e., thermows are shown in the table below. =etermine the future worth of the net cash o

For the factor (F/P,1$,')", An4 the percent 4ierence between the interpolate4 aformula3calculate4 value is the correct one.


4/28

7nterpolate4 Formula

i1 * i 1$

i2 11 F/P,1$,') 6$.2'$$6*1612

n ')

P 1 =ierence '.'6!6))&)

F1 '$.6&61$*!')1

F2 !!.!*&2$11' Percentage &.5 2'.11$'6

F/P,1$,') 6'.&!66'*!6

2.2

a. ProAt at the en4 of ear b. Present worth the proAt

ProAt/ - 1,1$$.$$ i !

Pro1 - 6,$$$.$$ n Pro - 1$,'$$.$$ P/?,!, &.)&2'26'!*

P/#,!, ).**2&1$$)&1

P - )2,$6.*)

2.2&

Iear 1 2 ) '

J -1$$$ 2$$ 1* 1*$ 1!

? - .$$ i !

## - 2$$.$$ n !

P/?,!,! 1&.!$6$*!)'6'

#/P,!,! $.1&'$1'&6$6

#/?,!,! - 1.'*

2.2*

a. #mount of F b. Future worth in ear 1$F) - !2,$$$.$$ ? - ',$$$.$$

F1 - &',$$$.$$

i 1$

n 1$

P/?,1$,1$ 22.!*1)'211'1

P/#,1$,1$ -6.1'

P - '6,26).))

ProAts from reccling paper, car4boar4, aluminum, an4 glass at a liberal arts collegeach of the last ) ears. 7f this ear9s proAt (en4 of ear 1" is e5pecte4 to be -6$$$

+olle4 ball screws are suitable for high3precision applications such as water


5/28

2.)1

F1 - $.$$ i 1!

n

F - 2,1$$.$$

P/F,1!, - *1&.*)

P/#,1!, -16.)6

P/?,1!, .2)12'*66

2.))

i 1$ P?1 $.*$*$*$*$*1

n1 1 #/P,1$,1 1.1

n2 2 #1 1

? '

2.)

i ! i !

n1 1$ n2 11

g ' g 6

# - 1$,$$$.$$ # - 1$,$$$.$$

P?1 - &!,*$.12 P?1 - *2,*26.1'

2.)&

i 6 P? - 2!),$1!.!&

n 1$

g 6

# - )$,$$$.$$

#pple omputer wants to have -2.1 billion available ears from now to Anance pbase4 on our behavior, will learn how to control nearl all the electronic 4evices ian4 sprinkler sstem. he compan e5pects to set asi4e uniforml increasing amo

amount set asi4e at the en4 of ear 1 is -$ million, how much will the constant ininvestment account grows at a rate of 1! per ear.

here are no tables in the back of our book for the geometric gra4ient series factvalues, that is, # values for nN1 an4 2, that woul4 be in a 1$ interest table for a

=etermine the 4ierence in the present worth values of the following two commo4iontract 1 has a cost of -1$,$$$ in ear 1O costs will escalate at a rate of ' per ear 1, but costs will escalate at 6 per ear for 11 ears.

=etermine the present worth of a maintenance contract that has a cost of -)$,$$$1$ ears. Gse an interest rate of 6 per ear.


6/28

P/#,6,6,1$ *.'))*6226'2

2.)*

P - (1&$,$$$.$$" +#> 11

n 1

F - !1),$$$.$$

2.'1

n ' +#> '.6

P - (2$$,$$$.$$"

F - *$$,$$$.$$

2.')

n ) F/#,7,1 ).6'$

# - 2',$$$.$$ Ber4asarkan tabel interest ) tah

F - !&,)6$.$$

2.'

# - !$,$$$.$$ F/#,1,n &.

F - 6$$,$$$.$$

i 1 Ber4asarkan tabel interest 1,

2.'&

# - 2*,$$$.$$ P/#,1$,n 6.!*61&2'1

7f the value of ane9s retirement portfolio increase4 from -1&$,$$$ to -!1),$$$ oveaccount over that perio4, what annual rate of return 4i4 she make8

=uring a perio4 when the real estate market in Phoeni5, #ri0ona, was un4ergoing ama4e anagreement with a 4istresse4 seller to purchase an o@ce buil4ing un4er th4own pament of -2$$,$$$ now an4 no paments for ' ears, after which the remable to make this 4eal because of poor market con4itions at the time of purchase,in ' ears (when market con4itions woul4 probabl be better" an4 move to a large

able to sell the buil4ing in e5actl ' ears for -1.* million, what rate of return per

Bessimer >lectronics manufactures a44ressable actuators in one of its Ha;uila4orainvesting -2',$$$ each ear in ears 1, 2, an4 ), it will avoi4 spen4ing -!&,)6$ ininvestments, what rate of return will it reali0e8

#cme Bricks, a masonr pro4ucts compan, wants to have -6$$,$$$ on han4 before;uipment. 7f the compan sets asi4e -!$,$$$ per ear in an account that increaseears will it be before #cme can purchase the e;uipment8

Iou own a small engineering consulting compan. 7f ou invest -2$$,$$$ of the coe5pecte4 to provi4e income of -2*,$$$ per ear, how long must the well pro4uce arate of return of 1$ per ear8


7/28

P - 2$$,$$$.$$

i 1$ Ber4asarkan tabel interest 1$,

2.'*

i ' P#1 -1','2).$!

#1 - 1,$$$.$$ P#2 -2!,2*1.'2

#2 - )6,&$$.$$ P#) -'1,626.)&

? - 21,&$$.$$ P#' -',''!.')

P - )$,$$$.$$ P# -66,&&&.))

P#6 -&!,6)2.$

2.1

12R1 3S(1M$.$)"/(1M $.$6"TU5V($.$63$.

$.6 N $,*&1&U5

3$.1!&$!66')' N 5Jlog($,*&"

5 N 1

2.)

? - !!,1'6.$$ P? N

F1 - 2,$$$.$$ !!1'6 N

g 1! 3$.2!2$6&2 N

i 1$ 1.2!21 N

log 1.2!21 N

n N

# mechanical engineering gra4uate who wante4 to have his own business borroweBecause he was famil, his father charge4 interest at onl ' per ear. 7f the engi

-)6,&$$ in ear 2, an4 amounts increasing b -21,&$$ each ear, how man ears

rial an4

7n cleaning out some Ales that were left behin4 b the engineer who prece4e4 ouha4 a calculation for the present worth of certain maintenance costs for state high(with cost in -1 million"Q

Iou are tol4 that the present worth of an increasing geometric gra4ient is -!!,1'6.gra4ient increase is 1! per ear, what is the value of n 8 he interest rate is 1$


8/28

). ( #/?,1,2$" '. ( #/F,2,)$"

#/? .)61 #% $.$2'6

i 1 i 2n 2$ n )$

P 1 F 1

#/P $.1*&61'&$' # $.$2'6

P/? )).!21&26)2!

P% - )2.16

F% - 11),$'.2$

#X -!!,'6.26

eters for installation in a new line of tractors. he'$ 4iscount from the regular cost of -1'2. 7f the

ee4e4, what is the present worth of the savings pere interest rate is 1$ per ear.

put one3half of the mone in a college fun4 for

ear, how much was in the account 1' ears after it

w e;uipment that will re4uce car4boar4 costs bontainer. 7f the new e;uipment will cost -22$,$$$ to4er to


9/28

F% -6,!$),*!6.22

F% - 2&,1)2.'1

P% - 1$$,2)2.)

#X -!2,!2.))

;uarters, what must the buil4ing be worth in 1$ per ear.

tructe4 of bricks that were not properl Are4. #s aecause of the problem with the bricks, the selling

il4ings. he engineer repaire4 the 4amage4 brickselastomeric sealant. his resulte4 in restoring the-6$$,$$$ an4 the cost of getting it repaire4 was

rest rate is ! per ear8

orate the seal. ri4ent hemical 4evelope4 an

lip, resulting in e5ten4e4 seal life. Ene of ri4ent9s7f lost pro4uction woul4 have cost the compann4 now on the new seals, if it uses an interest rate

ion to improve (i.e., 4eepen" a retention basin an4sai4 that, because of the weak econom, the bi4sve a 2$3ear life, what is the annual worth of the

$ 1 2 )

P N1)$$$$$

$ 1 2

P N 1&,$$$

$ 1 2

P N 1$$,2)2.)

#

$ 1 2

P N *$,$$$


10/28

F% - 1)!.6

F% - 1,2&.*

formula.

verages, some states have impose4 ta5es on so4aif ta5es average4 ' cents on each 4ollar9s worth ofincrease4 to 1! cents on the 4ollar, turm

$$ so4as per ear, what is the future worth of thefrom gra4e through gra4uation in gra4e 12. Gse

ostat closes as temperature rises". #nnual cashs at an interest rate of 1$ per ear.

4 formula calculate4 values, assuming the

1 2$

#

$ 1 2

# N11


11/28

6 & !

1!$ 1& 1&$ 16

# - 1!'.1

F% -1,'16,!66.'$

e have increase4 at a constant rate of -11$$ inan4 the proAt tren4 continues through ear

ing. heir total manufacturing cost is e5pecte4 to 4ecreaseannual cost at an interest rate of ! per ear.

ase accor4ing to the cash ow se;uence -&$ M

1$ 2

# N6$$$

$ 1

$ 1 2


12/28

?JP? - &61.&

? - 1'.!

? - 1',!1,$'6.*)

P?2 1.&6!*$'1)

#/P,1$,2 $.&61*$'&62

#2 1.$1*$'&61*

=ierence - 1',))6.$2

o4uction of a han4hel4 Celectronic brainD that,our home, such as the thermostat, coee pot, %,

nts of mone each ear to meet its goal. 7f the

rease ? have to be each ear8 #ssume the

rs. alculate the Arst two annual worth factorrowth rate of ' per ear.

t contracts at an interest rate of ! per ear.ar for 1$ ears. ontract 2 has the same cost in

in ear 1 an4 annual increases of 6 per ear for

$ 1 2

# N $ milion

?

1

# N )$,$$$

$


13/28

n, ),6' terletak pa4a tabel interest 2$

&, terletak pa4a n N ,' tahun

r a 13ear perio4, with no 4eposits ma4e to the

signiAcant 4ownturn, H onsulting >ngineersfollowing termsQ total price of -1.2 million with a

ining balance of -1 million woul4 be pai4. H wasn4, at the same time, planning to sell the buil4ingo@ce buil4ing in cotts4ale, #ri0ona. 7f H was

ear 4i4 the compan make onthe investment8

plants in He5ico. he compan believes that bear ). 7f the compan 4oes make the annual

e it invests in new conveors, trucks, an4 others in value at a rate of 1 per ear, how man

pan9s mone in a natural gas well that ist that rate in or4er to get the mone back plus a

PN 1&$,$$$

i N 1

$ 1 2

$ 1 2

P N 2$$,$$$

$ 12

# N 2',

i N 2$

1 2$

# N !$,$$$


14/28

6,!* terletak pa4a n N 12,) tahun

P?1 $ -1','2).$!

P?2 - 2$,$62.!& -'!,)'.2*

P?) - !,6'.)1 -1$$,2&1.6!

P?' - 11',2*).$6 -16!,&'1.'*

P? - 1!,6)6.)' -22,'1).6&

P?6 - 2&1,)!.'6 -)$,$1&.2

)" N 1'$

n log (1.$&2&2"

).'

4 -)$,$$$ from his father as start3up mone.eer was able to pa his father -1,$$$ in ear 1,

4i4 it take for the engineer to repa the loan8

error 4i4apatkan nW6 tahun

in our current


15/28

. ( P/?,),1"

P/? &.*&'

i )n 1

F 1

2

F N 1'2

6 & ! * 1$ 11 12 1) 1'

F N 11),$'.2$

)

.26


16/28

6 & ! * 1$

F N 6,!$),*!6.22

) '

F N2&,1)2.'1

) '

N )),$$$

) 1& 1! 1* 2$

# N


17/28

, .

& !

F N )*.*N'

11 2 1& !$

F N# N1!

1&2

& !

$,$$$ F N 1,2&,*'&.6*


18/28

) '

? N11$$PN11$$

? N

2 6 & !

# N2$$

# N 1!'.1

) ! * 1$

N&',$$$

P N '6,26.6$

F N 1,'16,!&2.2!


19/28

) '

1',&,!'P N *1&,*2*,)'.$!

F N 2,1$$,$$$,$$$

$ 1) ! *

g N 6 P N -2!),$1!.!&

1$


20/28

FN -2!),$1!.!&

) 1) 1' 1

) '1,$$$,$$$

1,*$$,$$$

)

$$

6) '

F N 6$$,$$$

# N 2*,$$$


21/28

11 12 12,)

) '

2*,$$$

? N 21,&$$

6

) 1) 1' 1

# N 12,$$$,$$$

gN 6

) ).'

gN 1$


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1&!.1


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ekotek_alfiano fuadi2

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