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    ISE 140 Term Project

    December 10, 2012

    ISE 140

    By: Denny Laines, Dina Verdin, Wayne Odd, Ashley Lindsay

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    INTRODUCTION

    This re!r" #as d!ne "! r!$ide a s%mmary !& "he me"h!d!l!'ies %sed "! imr!$e "he

    Vi(in's) *r!d%c"i!n Di$isi!n+ Basic areas !& imr!$emen"s "! "he &irm incl%ded &!recas"in',

    r!d%c"i!n caaci"y lannin' and &inally sched%lin'+ In each !& "hese ca"e'!ries, m%l"ile

    me"h!d!l!'ies #ere analy-ed "! achie$e a seci&ic '!al+

    In e.l!rin' h!# "! imr!$e &!recas"in' &!r "he &irm, "he '!al !& a /AD /ean Abs!l%"e

    De$ia"i!n "!lerance !& less "han 10 #as desired+ All ar!aches incl%din' m!$in' a$era'e,

    e.!nen"ial sm!!"hin' and seas!nal m!delin' #ere "es"ed &!r each r!d%c"+ The seci&ic &!recas"

    m!del ch!sen &!r each r!d%c" has been $alida"ed "! ma"ch reas!nably cl!se "! "he las" "en #ee(s

    demand &!r "he 'i$en r!d%c"+

    The r!d%c"i!n a''re'a"e lannin' me"h!d!l!'ies e.l!red &!r each r!d%c" #ere "!

    &!ll!# ei"her a chase !r le$el lan+ In s!me ins"ances, d%e "! "he "ye !& &!recas"in' er&!rmed,

    "he lan &!r "he 'i$en r!d%c" #as !ne in "he same+ ere "he desire #as "! achie$e a rela"i$ely

    l!# c!s"+ This #as &!ll!#ed by caaci"y lannin' "! r!$ide an e$en &%r"her brea(d!#n !& "!"al

    c!s" &!r each r!d%c"+ 3inally, a sched%lin' me"h!d!l!'y #as crea"ed and sim%la"ed !n

    *r!/!del "! s%ccess&%lly minimi-e cycle "imes+

    Forecasting

    One !& "he &irs" "hin's "ha" sh!%ld be d!ne is "! 'rah "he da"a 'i$en &!r each r!d%c"+

    The da"a #as 'rahed "! !bser$e #he"her "here #as a "rend, a seas!nal "rend, !r i& i" #as rand!m+

    This is im!r"an" #hen "ryin' "! ch!!se #hich &!recas"in' me"h!d "! %se "ha" #!%ld r!d%ce a

    /ean Abs!l%"e De$ia"i!n /AD n! 'rea"er "han "en+ 3!recas"in' #as needed s! "ha" "he ne."

    &i$e #ee(s !& demand c!%ld be redic"ed &!r c!s"in' %r!ses !& man%&ac"%rin'+ One !& "he

    easies" me"h!ds !& &!recas"in' is /!$in' A$era'e, s! !%r &irs" s"ra"e'y #as "! %se m!$in'

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    a$era'e !n all !& "he r!d%c"s "ha" didn)" ha$e a "rend !n "he 'rah and i& "ha" didn)" #!r( #e

    %sed a simle e.!nen"ial sm!!"hin' me"h!d+ 3!r "he res" !& "he r!d%c"s, #e %sed ei"her

    e.!nen"ial sm!!"hin' "rend, #i"h!%" "rend and #i"h seas!nali"y, !r #i"h "rend and seas!nali"y+

    We #ere able "! &!recas" e$ery r!d%c" #i"h a /AD l!#er "han "en and %se "he &!recas"s &!r

    a''re'a"e lannin'+

    Product 1 (MAD= 6)

    History

    Horizon

    Demand

    9-PeriodMoving

    Avg.Forecast rror

    11 186 712 187 113 187 914 187 1015 186 616 187 5

    17 187 518 188 319 187 1320 187 1

    21 18722 18723 18724 18725 187

    Product ! (MAD= ")

    = 0.8= 0.3

    Histo

    ryHorizon

    Demand #ase $rend Forecastrror

    9 70 146.00-

    0.2165

    10 160 157.16 3.20 311 183 178.47 8.63 512 200 197.42 11.73 3

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    13 215 213.83 13.13 114 197 202.99 5.94 615 170 177.79 -3.40 816 110 122.88 -18.86 1317 100 100.80 -19.82 118 105 100.20 -14.06 519 177 158.83 7.75 1820 215 205.32 19.37 10

    21 215 23422 215 254

    23 215 273

    24 215 29225 215 312

    Product % (MAD= 1)

    HistoryHorizon

    Demand&'. mooting

    ForecastForecast

    rror

    9 70 74 410 88 89 1

    11 65 65 012 43 43 013 68 67 114 84 83 115 61 61 016 44 41 317 65 64 118 82 80 219 59 58 120 44 41 3

    21 6322 7923 5924 41

    25 61

    Product * (MAD= +)

    = 0.2

    HistoryHorizon

    Demand&'. mooting

    ForecastForecast rror

    10 37 34

    11 39 35 4

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    12 39 36 3

    13 40 36 4

    14 41 37 4

    15 44 38 6

    16 44 39 5

    17 45 40 518 46 41 5

    19 50 42 8

    20 53 44 9

    21 45

    22 4523 45

    24 45

    25 45

    Product + (MAD= 9)

    History

    Horizon

    Demand

    1,-PeriodMoving Avg.

    Forcast

    rror

    11 64 52 12

    12 54 52 2

    13 48 52 4

    14 55 53 2

    15 67 52 15

    16 45 54 9

    17 76 52 24

    18 66 52 14

    19 53 53 0

    20 65 52 13

    21 53

    22 53

    23 53

    24 53

    25 53

    Production Panning

    As s"a"ed be&!re, "he r!d%c"s &!ll!#ed ei"her a chase !r le$el r!d%c"i!n lan based !n

    res%l"s &r!m "he c!rres!ndin' &!recas" m!del+ The '!al #e achie$ed here #as "! ma(e small

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    ad%s"men"s %sin' eml!ymen" le$els "! red%ce "!"al c!s" ye" s"ill r!$ide s%&&icien" r!d%c"i!n

    le$els+

    3!r *r!d%c" !ne, "he le$el and chase lan are "he same, d%e "! "he e$en ra"e !& r!d%c"i!n

    ma"chin' "he &!recas"ed demand+ By hirin' se$en #!r(ers &!r "he ne." &i$e eri!ds, #e #ere

    able "! ha$e minimal %nder"ime and n! bac(l!'+ Wi"h a b%l( !& "he c!s" d%e "! eml!ymen", "he

    "!"al c!s" &!r "his r!d%c" came "! 5264(+

    3!r *r!d%c" "#!, "he le$el lan #as ch!sen "! be "he be""er !"i!n #i"h r!%'hly 517,000

    sa$in's c!mared "! "he chase lan+ irin'8&irin' c!s" #as sacri&iced &!r h!ldin' c!s" and hi'her

    %nder"ime c!s"+ The la""er c!s" "h!%'h, s"ill ne""ed a l!#er "!"al c!s" !& 5294(+

    *r!d%c" "hree, similarly, sacri&iced bac(!rder c!s" &!r minimally hi'her %nder"ime c!s"+

    The chase lan #as ch!sen #i"h a ne" sa$in's !& r!%'hly 51+( and a "!"al c!s" !& 57+(+

    *r!d%c" &!%r, !nce a'ain "he chase and le$el lan #ere !ne in "he same+ Wi"h minimal

    %nder"ime c!s" and n! bac(l!' !r endin' in$en"!ry, "!"al c!s" #as es"ima"ed "! be ab!%" 5;;+4(+

    Las"ly, *r!d%c" &i$e als! had an e

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    Sub-Cost:Hiring Sub-

    Cost:$140,000.

    00Regulr Sub-

    Cost:$93,500.0

    0

    $ota 0ost=7!%*8,"

    +.,,

    Product !

    eve Pan ate 273

    !1 !! !% !* !+

    #eg 2nv 0 39 58 58 39Production 273 273 273 273 273Forecast 234 254 273 292 312nd 2nv 39 58 58 39 0#ac3og 0 0 0 0 0

    4or3ers 10 10 10 10 10Possi5enits

    300 300 300 300 300

    ndertime 27 27 27 27 27

    Undertime Sub-Cost: $675.00

    Hiring Sub-Cost:

    $200,000.00

    Holding Sub-Cost: $2,037.00

    Regulr Sub-Cost: $61,425.00

    UndertimeCost !5"00 /unit $ota 0ost=

    7!6*81%".,,

    Hiring Cost!20#000"0

    0 /worker

    HoldingCost !10"50 /unit/wk

    BackorderCost !54"00 /unit/wk

    RegularCost !45"00 /unit

    Product %0ase Pan

    !1 !! !% !* !+

    #eg 2nv 0 0 0 0 0Production 63 79 59 41 61Forecast 63 79 59 41 61nd 2nv 0 0 0 0 0#ac3og 0 0 0 0 0

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    4or3ersneeded 3 3 3 3 34or3ers

    Hired 0 0 0 0 04or3ers

    Fired 0 0 0 0 0

    Possi5enits

    90 90 90 90 90

    ndertime 27 11 31 49 29

    Undertime Sub-Cost: $735.00

    Hiring Sub-Cost:$60,000.

    00

    Regulr Sub-Cost:$26,967.

    00

    $ota 0ost=7"8",!

    .,,

    Product 4eve/0ase Pan ate 45

    !1 !! !% !* !+

    #eg 2nv 0 0 0 0 0

    Production 45 45 45 45 45

    Forecast 45 45 45 45 45

    nd 2nv 0 0 0 0 0

    #ac3og 0 0 0 0 0

    4or3ers needed 2 2 2 2 2Possi5e nits

    Produced60 60 60 60 60

    ndertime 15 15 15 15 15Undertime Sub-

    Cost: $375.00

    Hiring Sub-Cost:$40,000.

    00

    Regulr Sub-Cost:$15,075.

    00

    $ota 0ost=7++8*+,

    .,,

    Product 5

    eve/0ase Pan ate 53

    !1 !! !% !* !+

    #eg 2nv 0 0 0 0 0

    Production 53 53 53 53 53

    Forecast 53 53 53 53 53

    nd 2nv 0 0 0 0 0

    #ac3og 0 0 0 0 0

    4or3ers needed 2 2 2 2 2

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    Possi5e nitsProduced

    60 60 60 60 60

    ndertime 7 7 7 7 7

    Undertime Sub-Cost: $175.00

    Hiring Sub-Cost:$40,000.

    00

    Regulr Sub-Cost:$34,450.

    00

    $ota 0ost=7"*86!+

    .,,

    ateria! Re"uirements P!anning

    A&"er a''re'a"e lannin' #e #ere able "! crea"e !%r /a"erial >erder 147 187 87 87 87

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    eease: = +,,8 $ = 18 = +u5-Product * Period

    21 22 23 24 25

    ;rosserdereease 500 0 500 0 0

    Product !

    Q = 500u5-Product % Period

    !1 !! !% !* !+;rosserdereease 500 500 500 1000 500

    Q = 500, ! = 1,"" = 5

    u5-Product * Period!1 !! !% !* !+

    ;rosserdereease 1500 1000 1000 1000 0

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    Product %

    Q = 500, !=1,""=5

    u5-Product * Period!1 !! !% !* !+

    ;rosserder

    eease 500 0 0 0 0

    Q = #ied 2, ! = 1, "" = 15

    u5-Product ! Period

    !1 !! !% !* !+

    ;ross erdereease 66 0 41 61 0

    Q = 4, ! = 0, "" =10

    u5-Product 1 Period

    !1 !! !% !* !+

    ;ross e

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    Panned >rderecei't 92 82 122Panned >rdereease 92 0 82 122 0

    Product *

    Q = #ied 2, ! = 1, "" = 15

    u5-Product ! Period

    !1!! !% !* !+

    ;rosserdereease 0 0 90 0 0

    Q = 4, ! = 0, "" = 10

    u5-Product 1 Period

    !1!! !% !* !+

    ;rosserdereease 5

    45 225 45 45

    Product +

    Q = 4, ! = 0,"" = 10

    u5-Product 1 Period

    !1 !! !% !* !+;rosse

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    ecei't

    PA#/ +, 10 10 10 10 10etrerderecei't 13 53 53 53 53Panned >rdereease 13 53 53 53 53Q = 500, ! = 0,"" = 0

    u5-Product % Period

    !1 !! !% !* !+;rosserdereease 500 0 0 0 0Q = 500, ! =1, ""= 5

    u5-Product * Period

    !1 !! !% !* !+;rosserdereease 500 0 0 0 0

    Sc#edu!ing

    In "his r!ec", "he sched%lin' me"h!d!l!'y has sh!#n "ha" "he machinin' !era"i!n

    #!r(s be""er i& is di$ided by s"a"i!ns and s%b=r!d%c"s+ 3r!m "he caaci"y lannin', "he am!%n"

    !& s%b=r!d%c"s needed "! ma(e a #h!le r!d%c" #as "!"aled, di$ided in ba"ches and "hen

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    m%l"ilied by "he resec"i$e se"=% "ime and r!cessin' "ime+ An in"eres"in' !in" "! analy-e is

    "ha" "he am!%n" !& machines !b"ained &r!m "he caaci"y lannin' and "he am!%n" !& "he

    machines !b"ained in "he sim%la"i!n, did n!" ma"ch+ These n%mbers did n!" ma"ch d%e "! "he

    c!nsidera"i!ns %" in each !ne !& "he si"%a"i!ns+ Wi"h "he hel !& "he sim%la"i!n #e #ere able "!

    !b"ain a rec!mmended n%mber !& machines "a(in' in c!nsidera"i!n "he %"ili-a"i!n ercen"a'e !&

    each machine and !ssible b!""lenec(s deendin' !n "he caaci"y !& "he am!%n" !& machines

    %"ili-ed+

    An!"her !in" #!r"h n!"in' is "ha" "he sim%la"i!n #as r!'rammed "! %"ili-ed 3I3O a r%le

    meanin' "ha" "he &irs" i"em in is "he &irs" i"em !%", %"ili-ed+ This r%le hels %"ili-e s%b=r!d%c"s as

    s!!n as "hey are machined and n!" delay "he #h!le machinin' r!cess+

    3inally, "he ba"ch si-e calc%la"ed is 10+ This ba"ch si-e all!#s a red%ced cycle "ime and an

    !"im%m %"ili-a"i!n !& "he s"a"i!ns machines+ The ercen"a'e %"ili-a"i!n r!d%ced in "his

    sim%la"i!n is ar!%nd 7;@ and b!""lenec(s in s"a"i!n n%mber &!%r+

    Conc!usion

    %n &on&'u(ion, t)e *et)od( t)+t we u(ed ie'ded our roe&t +n e&e''ent

    w)i&) w+( e'ow ten +nd t)+t w+( +n e((enti+' +rt o t)e roe&t. oin er+e

    w+( + ri*e &)oi&e or t)e ore&+(tin *et)od, w)i&) *+de t)e &o(t or t)e 'ee'

    +nd &)+(e '+n( r+&ti&+'' identi&+'. ter &o*'etin t)e P +nd P we )+d

    enou) inor*+tion to run t)e (i*u'+tion +nd &o*'ete it (u&&e((u''. #or our in+'

    re(u't( we +rried +t $596740.50 or our u'ti*+te tot+' &o(t or one week o

    rodu&tion, w)i&) took into &on(ider+tion t)e &)e+e(t +re+te, '+n +nd t)e

    'e+(t +*ount o *+&)ine( needed to run t)e rodu&tion.

    Aendices

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    Ca$acit% Re"uirements P!anning&

    eek 21

    Produ&t 1 Produ&t 2 Produ&t 3 Produ&t 4 Produ&t 5 !ot+'"u-

    Produ&t 1 147 0 92 5 13 257"u-Produ&t 2 0 0 66 0 0 66

    "u-Produ&t 3 0 500 0 0 500 1000

    "u-Produ&t 4 500 1500 500 0 500 3000

    "t+tion 1

    2400 own or13.71428

    571 ti*e( in 2400 *in!i*e it w+(

    down

    205.7142

    857 *in!i*e it w+(n:t

    down2194.285

    714 ;

    "t+tion 2

    2400 own or9.230769

    231 ti*e( in 2400 *in!i*e it w+(

    down184.6153

    846 *in!i*e it w+(n:t

    down2215.384

    615 ;

    "t+tion 3

    2400 own or13.71428

    571 ti*e( in 2400 *in!i*e it w+(

    down205.7142

    857 *in!i*e it w+(n:t

    down2194.285

    714 ;

    "t+tion 4

    2400 own or

    9.230769

    231 ti*e( in 2400 *in!i*e it w+(down

    184.6153846 *in

    !i*e it w+(n:tdown

    2215.384615 ;

    "t+tion 52400 own or 6.857142 ti*e( in 2400 *in

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    857!i*e it w+(

    down205.7142

    857 *in!i*e it w+(n:t

    down2194.285

    714 ;

    "t+tion 6

    2400 own or26.66666

    667 ti*e( in 2400 *in!i*e it w+(

    down266.6666

    667 *in!i*e it w+(n:t

    down2133.333

    333 ;

    "t+tion 7

    2400 own or13.71428

    571 ti*e( in 2400 *in

    !i*e it w+(down

    205.7142857 *in

    !i*e it w+(n:tdown

    2194.285714 ;

    ?+t&) "i@e 10

    "t+tion 1"u-Produ&t

    1"u-Produ&t

    2"u-Produ&t

    3"u-

    Produ&t 4 !ot+'

    Pro&e((in 3341 660 0 21000

    "etu !i*e 0

    !ot+' 3341 660 0 210002500

    1

    +&)ine Aeeded 11

    5

    "t+tion 2"u-Produ&t

    1"u-Produ&t

    2"u-Produ&t

    3"u-

    Produ&t 4 !ot+'

    Pro&e((in 3341 660 17000

    "etu !i*e

    !ot+' 3341 660 17000 0

    2100

    1+&)ine Aeeded 9

    10

    "t+tion 3"u-Produ&t

    1"u-Produ&t

    2"u-Produ&t

    3"u-

    Produ&t 4 !ot+'

    Pro&e((in 19000

    "etu !i*e

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    !ot+' 0 0 19000 01900

    0

    +&)ine Aeeded 9

    5

    "t+tion 4 "u-Produ&t1 "u-Produ&t2 "u-Produ&t3 "u-Produ&t 4 !ot+'

    Pro&e((in 11000 30000

    "etu !i*e

    !ot+' 0 0 11000 300004100

    0

    +&)ine Aeeded 19

    10

    "t+tion 5

    "u-Produ&t

    1

    "u-Produ&t

    2

    "u-Produ&t

    3 "u-Produ&t 4 !ot+'Pro&e((in 0 0 12000 45000

    "etu !i*e 0 0

    !ot+' 0 0 12000 450005700

    0

    +&)ine Aeeded 26

    15

    "t+tion 6"u-Produ&t

    1"u-Produ&t

    2"u-Produ&t

    3"u-

    Produ&t 4 !ot+'

    Pro&e((in 0 0 0 24000

    "etu !i*e 0 0 0

    !ot+' 0 0 0 240002400

    0

    +&)ine Aeeded 11

    5

    "t+tion 7"u-Produ&t

    1"u-Produ&t

    2"u-Produ&t

    3"u-

    Produ&t 4 !ot+'

    Pro&e((in 0 0 9000 36000

    "etu !i*e 0 0

    !ot+' 0 0 9000 36000

    4500

    0+&)ine Aeeded 21

    10

    Com$arison o' cost (it# suggested num)er o' mac#ines according to CRP and num)er o'

    mac#ines according to o$timum uti!i*ation+

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    eu'+r o(t eu'+r o(t

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    "t+tion 6 &o(t "t+tion 6 &o(t

    underti*e 0 0 underti*e 0*+&)ine(ou)t 6 15625

    *+&)ine(ou)t 0

    ! 15625 !

    "t+tion 7 &o(t "t+tion 7 &o(t

    underti*e 0 0 underti*e 0*+&)ine(ou)t 11

    26269.53125

    *+&)ine(ou)t 0

    !26269.531

    25 !

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    Proode! Simu!ation

    o&+tion "u**+r

    "&en+rio A+*e

    "&)edu'ed !i*e;Br> ++&it

    !ot+'ntrie(

    C

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    e 2.7

    ?+(e'ine

    "t+tion2.8 40.00 1.00 9.00 62.42

    ?+(e'ine

    "t+tion2.9 40.00 1.00 8.00 59.92

    ?+(e'in

    e "t+tion 3 480.00 12.00 131.00 87.30?+(e'ine

    "t+tion3.1 40.00 1.00 11.00 89.58

    ?+(e'ine

    "t+tion3.10 40.00 1.00 11.00 86.88

    ?+(e'ine

    "t+tion3.11 40.00 1.00 12.00 89.25

    ?+(e'ine

    "t+tion3.12 40.00 1.00 11.00 86.88

    ?+(e'ine

    "t+tion3.2 40.00 1.00 11.00 86.88

    ?+(e'ine

    "t+tion3.3 40.00 1.00 10.00 84.79

    ?+(e'ine

    "t+tion3.4 40.00 1.00 11.00 86.88

    ?+(e'ine

    "t+tion3.5 40.00 1.00 11.00 87.25

    ?+(e'ine

    "t+tion3.6 40.00 1.00 10.00 86.33

    ?+(e'ine

    "t+tion3.7 40.00 1.00 11.00 87.25

    ?+(e'ine

    "t+tion3.8 40.00 1.00 10.00 86.33

    ?+(e'ine

    "t+tion3.9 40.00 1.00 12.00 89.25

    ?+(e'in

    e "t+tion 4 480.00 12.00 228.00 92.50?+(e'ine

    "t+tion4.1 40.00 1.00 19.00 92.50

    ?+(e'ine

    "t+tion4.10 40.00 1.00 19.00 92.50

    ?+(e'ine

    "t+tion4.11 40.00 1.00 19.00 92.50

    ?+(e'ine

    "t+tion4.12 40.00 1.00 19.00 92.50

    ?+(e'ine

    "t+tion4.2 40.00 1.00 19.00 92.50

    ?+(e'ine

    "t+tion4.3 40.00 1.00 19.00 92.50

    ?+(e'ine

    "t+tion4.4 40.00 1.00 19.00 92.50

    ?+(e'ine

    "t+tion4.5 40.00 1.00 19.00 92.50

    ?+(e'ine

    "t+tion4.6 40.00 1.00 19.00 92.50

    ?+(e'ine

    "t+tion4.7 40.00 1.00 19.00 92.50

    ?+(e'in "t+tion 40.00 1.00 19.00 92.50

  • 8/13/2019 Intro Aggregate

    22/23

    e 4.8

    ?+(e'ine

    "t+tion4.9 40.00 1.00 19.00 92.50

    ?+(e'ine "t+tion 5 600.00 15.00 146.00 73.92?+(e'in

    e

    "t+tion

    5.1 40.00 1.00 10.00 76.08?+(e'ine

    "t+tion5.10 40.00 1.00 9.00 70.00

    ?+(e'ine

    "t+tion5.11 40.00 1.00 9.00 70.00

    ?+(e'ine

    "t+tion5.12 40.00 1.00 10.00 72.29

    ?+(e'ine

    "t+tion5.13 40.00 1.00 9.00 73.33

    ?+(e'ine

    "t+tion5.14 40.00 1.00 9.00 73.33

    ?+(e'ine

    "t+tion5.15 40.00 1.00 11.00 72.21

    ?+(e'ine

    "t+tion5.2 40.00 1.00 9.00 76.67

    ?+(e'ine

    "t+tion5.3 40.00 1.00 10.00 76.08

    ?+(e'ine

    "t+tion5.4 40.00 1.00 10.00 76.08

    ?+(e'ine

    "t+tion5.5 40.00 1.00 10.00 76.83

    ?+(e'ine

    "t+tion5.6 40.00 1.00 10.00 76.25

    ?+(e'ine

    "t+tion5.7 40.00 1.00 10.00 73.33

    ?+(e'in

    e

    "t+tion

    5.8 40.00 1.00 10.00 73.33?+(e'ine

    "t+tion5.9 40.00 1.00 10.00 72.92

    ?+(e'ine "t+tion 6 200.00 5.00 89.00 83.87

    ?+(e'ine

    "t+tion6.1 40.00 1.00 17.00 85.00

    ?+(e'ine

    "t+tion6.2 40.00 1.00 18.00 83.58

    ?+(e'ine

    "t+tion6.3 40.00 1.00 18.00 83.58

    ?+(e'ine

    "t+tion6.4 40.00 1.00 18.00 83.58

    ?+(e'ine

    "t+tion6.5 40.00 1.00 18.00 83.58

    ?+(e'ine "t+tion 7 400.00 10.00 158.00 77.86?+(e'ine

    "t+tion7.1 40.00 1.00 18.00 86.92

    ?+(e'ine

    "t+tion7.10 40.00 1.00 13.00 64.58

    ?+(e'in "t+tion 40.00 1.00 17.00 82.71

  • 8/13/2019 Intro Aggregate

    23/23

    e 7.2

    ?+(e'ine

    "t+tion7.3 40.00 1.00 17.00 81.04

    ?+(e'ine

    "t+tion7.4 40.00 1.00 17.00 80.96

    ?+(e'in

    e

    "t+tion

    7.5 40.00 1.00 16.00 80.83?+(e'ine

    "t+tion7.6 40.00 1.00 16.00 80.75

    ?+(e'ine

    "t+tion7.7 40.00 1.00 15.00 75.42

    ?+(e'ine

    "t+tion7.8 40.00 1.00 15.00 75.42

    ?+(e'ine

    "t+tion7.9 40.00 1.00 14.00 70.00