FINAL OPS-MAN-Assignment-chapter-4

 

[mfmltmsml lb @ulbsji lb Fmyla`m (_lavorsaty jd tgo Haty jd Fmla`m)

Brmiumto Xhgjj` jd Eusaloss mli Bjvorlfolt Fmlmbofolt

DJUOHMXYALB

[rosoltoi tj> Fs. Borm`ialo Uoyos

[rosoltoi ey> M`djlsj, Cmtgralm Fahmg I. Folam, Nu`am D`jr Mlbo`ao B. J`m`am, Ngmlo X. Ujforj, Umo Mllo Njy [.

Nmlumry ==, 5;5;

 

9.= Ygo dj``jwalb bavos tgo lufeor jd palts jd typo E e`jji usoi mt Rjji`mwl Gjspatm` al tgo pmst 4 woocs ROOC JD [ALYX _XOI

 Mubust 8= Xoptofeor 2 Xoptofeor =9 Xoptofeor 5= Xoptofeor 57 Jhtjeor ?

84; 871 9=; 87= 847 829

m) Djrohmst tgo iofmli djr tgo wooc jd Jhtjeor Jhtjeor =5 usalb m 8-wooc fjvalb mvormbo Mlswor> (829 + 847 + 87=) / 8 6 829.88 palts e) _so m 8-wooc woabgtoi fjvalb fjvalb mvormbo, watg woabgts jd .=, .8, mli .4, usalb .4 djr tgo fjst roholt wooc. Djrohmst iofmli djr tgo wooc jd Jhtjeor =5. Mlswor> ROOC JD  Mubust 8= Xoptofeor 2 Xoptofeor =9 Xoptofeor 5= Xoptofeor 57 Jhtjeor ?

87= x .= 6 87.= 847 x .8 6 ==;.9 829 x .4 6 559.9  ZZZZ

[ALYX _XOI

84; 871 9=; 87= 847 829

825.1 825.1  

DJUOHMXY 6 825.1 h) Hjfputo tgo djrohmst djr tgo wooc jd Jhtjeor =5 usalb oxpjloltam` sfjjtgalb watg m djrohmst djr Mubust 8= jd 84; mli m 6 .5. Mlswor>

DJUOHMXYALB OUUJU ROOC JD [ALYX DJUOHMXY

 Mubust 8= Xoptofeor 2 Xoptofeor =9 Xoptofeor 5= Xoptofeor 57 Jhtjeor ?

OUUJU

x .5;

DJUOHMXY

84; 871

84; 84;

; 51

; ?.7

84; 84?.7

9=;

84?.7

99.5

7.79

829.49

87=

829.49

4.84

=.525

82?.1=5

847

82?.1=5

-2.1=5

-=.?759

829.8514

829

829.8514

-.8514

-.;4?15

829.5484

Ygo djrohmst as 829.54

 

9.5

= 2

 QOMU IOFMLI

5 1

8 ?

9 1

? =8

4 7

2 =5

7 =8

1 1

=; ==

== 2

m) [`jt tgo mejvo imtm jl m brmpg. Ij yju jesorvo mly troli, hyh`os, hyh`os, jr rmlijf vmramtajls: Mlswor> Ljlo. Ygo imtm mppomr tj gmvo lj hjlsastolt pmttorl. e) Xtmrtalb al yomr 9 mli bjalb tj yomr =5, djrohmst iofmli usalb m 8-yomr fjvalb mvormbo. [`jt yjur djrohmst jl tgo smfo brmpg ms tgo jrabalm` imtm. Mlswor>

Qomr Iofmli 8-Qomr Fjvalb

= 2

5 1

8 ?

9 1 2

? 4 =8 7 2.2 1

2 7 1 =; == DJUOHMXY =5 =8 1 == 2 =; == ==.8 == 1 1.;

h) Xtmrtalb al yomr 9 mli bjalb tj yomr =5, djrohmst iofmli usalb m 8-yomr fjvalb mvormbo woabgts jd .8,smfo mli .4, usalb .4 djr tgo fjst roholt yomr. [`jt watg tgas djrohmst jl.=, tgo brmpg. Mlswor>

Qomr = 5 8 9 ? 4 2 7 1 =; == DJUOHMXY Iofmli 2 1 ? 1 =8 7 =5 =8 1 == 2 2 2.2 1 =; == ==.8 == 1 1.; 8-Qomr Fjvalb 8-Qomr 4.9 2.7 == 1.4 =;.1 =5.5 =;.? =;.4 7.9 Roabgtoi i) Ms yju hjfpmro djrohmsts watg tgo jrabalm` jrabalm` imtm, wgahg soofs tj bavo tgo eottor rosu`ts: Mlswor>

Hjlh`usajl> Ygo tgroo-yomr fjvalb mvormbo mppomrs tj bavo eottor rosu`ts.

 

9.8 Uodor tj [rje`of 9.5. Iovo`jp m djrohmst djr yomrs 5 tgrjubg =5 usalb oxpjloltam` sfjjtgalb watg m 6 .9 mli m djrohmst djr yomr = jd 4. [`jt yjur low djrohmst jl m brmpg watg tgo mhtum` imtm mli tgo lmavo djrohmst. Emsoi jl m vasum` alspohtajl, wgahg djrohmst as eottor:

Qomr = 5 8 9 ? 4 2 7 1 =; == DJUOHMXY Iofmli 2 1 ? 1 =8 7 =5 =8 1 == 2 Lmavo 2 1 ? 1 =8 7 =5 =8 1 == 2 Oxp. 4 4.9 2.9 4.? 2.? 1.2 1 =;.5 ==.8 =;.9 =;.4 1.5 Xfjjtgalb

(M) Lmêvo trmhcs tgo ups mli ijwls eost, eut `mbs tgo imtm ey jlo poraji. (E) Oxpjloltam` sfjjtgalb as prjeme`y eottor eohmuso at sfjjtgols tgo imtm mli ijos ljt gmvo ms fuhg vmramtajl.

9.9 M hgohc prjhossalb holtor usos oxpjloltam` sfjjtgalb tj djrohmst djro hmst tgo lufeor jd alhjfalb hgohcs omhg fjltg. Ygo lufeor jd hgohcs rohoavoi al Nulo wms 9; fa``ajl, wga`o tgo djrohmst wms 95 fa``ajl. M sfjjtgalb hjlstmlt jd .5 as usoi. usoi . m. Rgmt as tgo djrohmst djr Nu`y: Mlswor>  Ygo djrohmst djr Nu`y wa`` eo 9=.4 fa``ajl

Dt695+;.5(9;-95) 69=.4 e. Ad tgo holtor rohoavoi 9? fa``ajl fa``ajl hgohcs al Nu`y, Nu`y, wgmt wju`i eo tgo djrohmst djr Mubust: Mlswor> 

Ygo djrohmst djr Mubust wa`` eo 95.8 fa``ajl Dt69=.4+;.5(9?-9=.4) 695.8

h. Rgy fabgt tgas eo ml almpprjpramto djrohmstalb fotgji djr tgas satumtajl:  Mlswor> Emsoi jl tgo bavol, tgo emlcalb aliustry gms m `jt jd somsjlm`aty al torfs

jd tgo prjhossalb roquarofolts. 9.=; Imtm hj``ohtoi jl tgo yomr`y robastrmtajls djr m Xax Xabfm sofalmr mt tgo ]um`aty Hj``obo mro sgjwl al tgo dj``jwalb tme`o>  QOMU = 5 8 9 ? 4 2 7 1 =; == UOBAXYUMYAJLX 9 4 9 ? =; 7 2 1 =5 =9 =? (;;;)

 

m) Iovo`jp m 8-yomr fjvalb mvormbo mvormbo tj djrohmst robastrmtajls drjf yomr yomr 9 tj yomr =5.

QOMU

UOBAXYUMYAJL

= 5 8 9 ? 4 2 7 1 =; ==

9 4 9 ? =; 7 2 1 =5 =9 =?

(m) 8-Qomr Fjvalb  Mvormbo

(e) 8-Qomr Roabgtoi Fjvalb  Mvormbo

9.2 ?.; 4.8 2.2 7.8 7.; 1.8 ==.2 =8.2

9.? ?.; 2.8 2.7 7.; 7.8 =;.; =5.8 =9.;

Djrohmst

e) Ostafmto iofmli mbmal djr yomrs 9 tj =5 watg m 8-yomr woabgtoi fjvalb mvormbo al wgahg robastrmtajls al tgo fjst roholt yomr mro bavol m woabgt jd 5, mli robastrmtajls al tgo jtgor 5 yomrs mro omhg bavol m woabgt jd =. =4 =9 =5 =; 7 4 9 5

; =

5

8

Iofmli

9

?

4

8-yomr fjvalb

2

7

1

=;

==

8-yomr woabgtoi

h) Brmpg tgo jrabalm` imtm mli tgo twj djrohmsts. Rgahg jd tgo twj djrohmstalb fotgjis soofs eottor:

 

 Mlswor> At hml eo jesorvoi tgmt tgo djrohmst djr tgo 8-yomr fjvalb mvor mvormbo mbo mli tgo 8-yomr woabgtoi fjvalb mvormbo mro m`fjst tgo smfo. Ygus, tgo twj djrohmstalb fotgjis mro ejtg usodu`. 9.== _so oxpjloltam` sfjjtgalb watg m sfjjtgalb hjlstmlt jd ;.8 tj djrohmst tgo robastrmtajls mt tgo sofalmr bavol al [rje`of 9.=;. Yj eobal tgo prjhoiuro, mssufo tgmt tgo djrohmst djr yomr = wms ?,;;; pojp`o sablalb up. m) Rgmt as tgo FMI: e) Rgmt as tgo FXO:

QOMU

Iofmli

Oxpjloltam` Xfjjtgalb

= 5 8 9 ? 4

9 4 9 ? =; 7

? 9.2 ?.= 9.7 9.7 4.9

 Mesj`uto Iovamtajl djr m6;.8 = =.8 =.= ;.5 ?.5 =.4

2 7 1 =; == (m)FMI (e)FXO

2 1 =5 =9 =?

4.1 4.1 2.? 7.1 =;.9

;.= 5.= 9.? ?.= 9.4 5.9 ?.1

9.=5 Hjlsaior tgo dj``jwalb mhtum` mli djrohmst iofmli `ovo`s djr Eab Fmh gmfeurbors mt m `jhm` FhIjlm`i‑s rostmurmlt> IMQ MHY_M@ DJUOHMXY IOFMLI IOFMLI Fjlimy 77 77 Yuosimy 25 77 Roilosimy 47 79 Ygursimy 97 7; Draimy Ygo djrohmst djr Fjlimy wms ioravoi ey jesorvalb Fjlimy‑s iofmli `ovo` mli sottalb Fjlimy‑s djrohmst `ovo` oqum` tj tgas iofmli `ovo`. Xuesoquolt djrohmsts woro ioravoi ey usalb oxpjloltam` sfjjtgalb watg m sfjjtgalb hjlstmlt jd ;.5?. _salb tgas oxpjloltam` sfjjtgalb fotgji, wgmt as tgo djrohmst djr Eab Fmh iofmli djr Draimy: Mlswor>

Imy

 Mhtum`

Djrohmst

Iofmli

Iofmli

 

Fjlimy Yuosimy Roilosimy Ygursimy Draimy

77 25 47 97

77 77 79 7; 25

_salb tgo oxpjloltam` sfjjtgalb fotgji, tgo 25. djrohmst djr Eab Fmh Iofmli jl Draimy as 9.=8 Ms yju hml soo al tgo dj``jwalb tme`o, iofmli djr gomrt trmlsp`mlt surbory mt Rmsgalbtjl Bolorm` Gjspatm` gms alhromsoi stomia`y al tgo pmst dow yomrs>  QOMU = 5 8 9 ? 4 GOMUY 9? ?; ?5 ?4 ?7 : YUMLX[@MLYX Ygo iarohtjr jd foiahm` sorvahos proiahtoi 4 yomrs mbj tgmt iofmli al yomr = wju`i eo 9= surboraos. m) _so oxpjloltam` sfjjtgalb, darst watg m sfjjtgalb hjlstmlt jd .4 mli tgol watg jlo jd .1, tj iovo`jp djrohmsts djr yomrs 5 tgrjubg 4.

QOMU IOFMLI = 9? 5 ?; 8 ?5 9 ?4 ? ?7 4 :

OW[JLOLYAM@ XFJJYGALB ν 6 ;.4 9=.;; 98.9; 92.84 ?;.=9 ?8.44 ?4.54 ∝  FMI

 Mesj`uto Iovamtajl 9.; 4.4 9.4 ?.7 9.8 5?.8 ?.;4

e) _so m 8-yomr fjvalb mvormbo mvormbo tj djrohmst iofmli al yomrs 9, ?, mli 4.

QOMU IOFMLI = 9? 5 ?; 8 ?5 9 ?4 ? ?7 4 :

OW[JLOLYAM@ XFJJYGALB ν 6 ;.1 9=.;; 99.4; 91.94 ?=.2? ??.?2 ?2.24

 Mesj`uto Iovamtajl 9.; ?.9 5.? 9.5 5.9 -

∝  FMI

=7.? 8.2

 

  h) Ratg FMI ms tgo hratorajl, wgahg jd tgo djur djrohmstalb fotgjis as eost: Djrohmst Fotgjij`jby

Oxpjloltam` Xfjjtgalb ν6;.4  Oxpjloltam` Xfjjtgalb ν6;.1  8-Qomr Fjvalb Mvormbo

FMI

?.;4 8.2 4.5

Mlswor> Emsoi jl tgo hjfputoi Foml Mesj`uto Iovamtajl, tgo Oxpjloltam` Xfjjtgalb

ν6;.1 as tj eo prodorroi mfjlb tgo jtgor fotgjij`jbaos.   9.=9 Dj``jwalb mro twj wooc`y djrohmsts fmio ey twj iaddorolt fotgjis djr tgo lufeor jd bm``jls jd bmsj`alo, al tgjusmlis, iofmlioi mt m `jhm` bmsj`alo stmtajl. M`sj sgjwl mro mhtum` iofmli `ovo`s, al tgjusmlis jd bm``jls. DJUOHMXY ROOC

FOYGJI =

FOYGJI 5

= 5 8 9

;.1; =.;? ;.1? =.5;

;.7; =.5; ;.1; =.==

MHY_M@ IOFMLI ;.2; =.;; =.;; =.;;

Rgmt mro tgo FMI mli FXO djr omhg fotgji: Mlswor> FOYGJI =

FOYGJI 5

FMI> (;.5;+;.;?+;.;?+;.5;)/9 6 =.5? FXO> (;.;9+;.;;5?+;.;;5?+;.;9)/96.;5= FMI> (;.=+;.5;+;.=;+;.==)/9 6 .=52? FXO> (;.;=+;.;9+;.;=+;.;=5=)/96.;=7

9.=? Uodor tj Xj`voi [rje`of 9.= jl pmbo =99. m) _so m 8-yomr fjvalb mvormbo tj djrohmst tgo sm`os jd Tj`cswmbol Eoot`os al Lovmim tgrjubg yomr 4. e) Rgmt as tgo FMI: h) Rgmt as tgo FXO: Mlswor> Djrohmst 8 Qomr Fjvalb Mesj`uto  Qomr Xm`os Mvormbo Iovamtajl

5;;? 5;;4

9?; 91?

 

5;;2 5;;7 5;;1 5;=;

?=7 ?48 ?79

972.2 ?5?.8 ???.; ∝  FMI

2?.8 ?7.2 =89. 42

9.=4 Uodor tj Xj`voi [rje`of 9.= jl pmbo =99. m) _salb tgo troli prjnohtajl (robrossajl) fotgji, iovo`jp m djrohmst djr tgo sm`os jd Tj`cswmbol Eoot`os al Lovmim tgrjubg yomr 4. e) Rgmt as tgo FMI: FMI: h) Rgmt as tgo FXO: Mlswor>  Qomr

Yafo [oraji (W)

5;;? 5;;4 5;;2

= 5 8

9?; 91? ?=7

5;;7 5;;1

9 ?

?48 ?79 Ψ654=;

W ̏ 68 Q 6 m + eW e 6 88.=; m 6 95=.5

WQ Xm`os (Q)

5

W 

= 9 1 =4 5? Ψ6??

9?; 11; =??9 55?5 515; Ψ67=44

Q ̏ 6?55

y 6 455.7  Qomr

Xm`os

5;;? 5;;4 5;;2 5;;7 5;;1 5;=;

Djrohmst Yroli

9?; 91? ?=7 ?48 ?79

9?9.7 977.9 ?55.; ???.4 ?71.5 455.7

Mesj`uto Iovamtajl

9.7 4.4 9.; 2.9 ?.5

Ψ657 FMI 6 ?.4 9.=2 Uodor tj Xj`voi [rje`of 9.= jl pmbo =99. _salb sfjjtgalb hjlstmlts jd .4 mli .1, iovo`jp djrohmsts djr tgo sm`os jd TR Eoot`os. Rgmt oddoht iai tgo sfjjtgalb hjlstmlt gmvo jl tgo djrohmst: _so FMI tj iotorfalo wgahg jd tgo tgroo sfjjtgalb hjlstmlts (.8, .4, jr .1) bavos tgo fjst mhhurmto djrohmst.  Mlswor>  Qomr

5;;? 5;;4

Xm`os Djrohmst Oxpjloltam` Xfjjtalb ν 6;.4  6;.4   Mesj`uto Iovamtajl

9?; 91?

9=;.; 989.;

9; 4=

 

5;;2 5;;7 5;;1 5;=;

?=7 ?48 ?79

92;.4 911.; ?82.9 ?4?.9

92.9 49 94.4

Ψ65?1 FMI 6 ?=.7  Qomr

5;;? 5;;4 5;;2 5;;7 5;;1 5;=;

Xm`os Djrohmst Oxpjloltam` Xfjjtalb ν 6;.1  6;.1   Mesj`uto Iovamtajl

9?; 91? ?=7 ?48 ?79

9=;.; 994.; 91;.= ?=?.5 ??7.5 ?7=.9

9; 91 52.1 92.7 5?.7

Ψ6=1;.? FMI 6 87.=

Emsoi jl tgo sj`voi prje`of ulior 9.= Djr ν6;.8, tgo mesj`uto mesj `uto iovamtajls djr 5;;? -5;;1 mro 9;.;, 28.;, 29.=, 14.1, 77.7 rospohtavo`y. Jur FMI as 29.4. Hjfpmralb tgo 8 FMI por mejvo hjfputmtajls, wo hml hjlh`uio tgmt m sfjjtgalb hjlstmlt jd ν 6;.1 as tgo fjst mhhurmto djrohmst eohmuso at bavos tgo `jwost FMI. 9.=7 Hjlsaior tgo dj``jwalb mhtum` mli djrohmst iofmli `ovo`s djr m hjfforham` fu`ta`alo to`opgjlo mt Jddaho Fmx> YAFO MHY_M@ DJUOHMXY [OUAJI IOFMLI IOFMLI = ?; ?; 5 95 ?; 8 ?4 97 9 94 ?; ? Ygo darst djrohmst, D=, wms ioravoi ey jesorvalb M= mli sottalb D= oqum` tj M=. Xuesoquolt djrohmst mvormbos woro ioravoi ey oxpjloltam` sfjjtgalb. _salb tgo oxpjloltam` sfjjtgalb fotgji, dali tgo djrohmst djr tafo poraji ?. (Galt> Qju looi tj darst dali tgo sfjjtgalb hjlstmlt, m.) Mlswor>

Jetmal tgo sfjjtgalb hjlstmlt> 97 6 ?; + 95ν - ?; ν  -5 6 -7 ν  .5?6 ν  _salb Oxpjloltam` sfjjtgalb watg m sfjjtgalb hjlstmlt jd ν 6.5?>

D? 6 ?; + ν (94 -?;) 6 ?; + 94 ν - ?; ν  D? 6 ?; ‘ 9 ν  6 ?; ‘ 9(.5?) 6 91

 

 

Ygo djrohmst djr tafo poraji ? as 91 ulats. HMXO XY_IQ> XJ_YGROXYOUL _LATOUXAYQ 

=.) Iovo`jp m djrohmstalb fjio`, nustadyalb ats so`ohtajl jvor jtgor tohglaquos, mli prjnoht mttolimlho tgrjubg 5;=2. BMFO

Yjtm`

FJIO@

5;=4

5;=2

U5

= y 6 8;,2=8 + 5,?89x

97,9?8.;;

?;,177.;;

;.15

5 y 6 82, 49; + 5,=94x

?5,44;.;;

?9,7;4.;;

;.1;

8 y 6 84, 19; + =,?4;x

92,74;.;;

91,95;.;;

;.1=

9 y 6 55, ?42 + 5,=98x

82,?42.;;

81,2=;.;;

;.77

? y 6 8;, 99; + 8,=94x

?5,94;.;;

??,4;4.;;

;.18

581,;;;.;; 5?;,?8;.;; (wgoro y 6 mttolimlho mli x 6 tafo)

5.) Rgmt R gmt rovoluos mro tj eo oxpohtoi al 5;=4 mli 5;=2:  Mlswor> Uovoluo al 5;=4 6 (581,;;;) ($?;/tahcot) 6 $9,27;,;;; Uovoluo al 5;=2 6 (5?;,?8;) ($?5.?/tahcot) 6 $?,54=,=8; 8.) Iashuss tgo shgjj`‑s jptajls.   Mlswor> At hml eo jesorvoi tgmt al bmfos 5 mli ? djr tgo yomr 5;=2, tgoso oxhooioi ?;,;;;. Ratg tgas, at hml eo smai tgmt tgo stmiauf hml eo oxpmlioi