(1)Cost-Trade-Off (1).xls

8/19/2019 (1)Cost-Trade-Off (1).xls

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For resource-allocation problems. Limits are set on the use of various resources (includingthen the objective is to make the most e ective use (according to some overal measure of

For cost-bene t-trade-o problems, management takes a more aggresive stance,prescribing hat bene ts must be achieved b! the activities under consideration (regardlethe resulting resource usage), and then the objective is to achieve all these bene ts ith

"! prescribing a minimum acceptable level for each kind of bene t, and then minimi#ing tto achieve these levels, management hopes to obtain an approproate trade-o bet een c

(Levels achieved $ %inimum acceptable levels& & )'(one of the bene t


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nancial resources), and performance) of these given resources.

ss of inimum cost.

e cost needed st and bene ts.

)


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Microsoft Excel 14.0 Answer ReportWorksheet: [(1)Cost- r!"e-#$.xls%Cost Alloc!tionReport Cre!te": 11&1'& 01 1 :1 :*1 +MRes,lt: ol er fo,n" ! sol,tion. All Constr!ints !n" opti/!lit con"it

ol er En2inengine *imple+ L

*olution ime . /0 *econds.1terations // *ubproblems

ol er #ptions%a+ ime 2nlimited, 1terations 2nlimited, recision . /%a+ *ubproblems 2nlimited, %a+ 1nteger *ols 2nlimited, 1nteger olerance

6bjective 7ell (%in)Cell 3!/e

84"8/9 otal 4gents otal 7ost

:ariable 7ellsCell 3!/e

828/9 otal 4gents ime eriods 7overed b! *hift8:8/9 otal 4gents8;8/9 otal 4gents880 0. 4% to ?. 4% @esult8>89 ?. 4% to / . 4% @esult8>8? / . 4% to 5oon @esult8>8A 5oon to B. % @esult8>8/ B. % to C. % @esult8>8// C. % to 0. % @esult8>8/B 0. % to ?. % @esult

8>8/D ?. % to / . % @esult8>8/C / . % to %id @esult8>8/E %id to 0. 4% @esult828/9 8=8/9 1nteger


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ions !re s!tis e".

/3, 4ssume 5on5egative

#ri2in!l !l,e 5in!l !l,eD 0/

#ri2in!l !l,e 5in!l !l,e 6nte2erC? 1ntegerD/ 1ntegerDA 1ntegerCD 1nteger/E 1nteger

Cell !l,e 5or/,l! t!t,s l!ck C? 8>80G 84"80 "inding9A 8>89G 84"89 "inding9A 8>8?G 84"8? 5ot "inding /C

//? 8>8AG 84"8A 5ot "inding D/9 8>8/ G 84"8/ 5ot "inding 0?B 8>8//G 84"8// 5ot "inding A?B 8>8/BG 84"8/B "inding

CD 8>8/DG 84"8/D "indingE? 8>8/CG 84"8/C 5ot "inding 0/E 8>8/EG 84"8/E "inding


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he +ro7le/2nion 4ir a!s is adding more Hights to and from its hub airport and so needs to hire additional customer service agents.Io ever, it is not clear just ho man! more should be hired. %anagement recogni#es the need for cost control hile alsoconsistentl! providing a satisfactor! level of service to the compan!Js customers, so a desirable trade-o bet een these t o factors is being sought. herefore, a management science team is stud!ing ho to schedulethe agents to provide satisfactor! service ith the smallest personnel cost.

"ased on the ne schedule of Hights, an anal!sis has been made of the minimum number of customer service agents

that need to be on dut! at di erent times of the da! to provide a satisfor! level of service. hese numbers are sho nin the last column of table for the time periods given in the rst column. he other entries in this table reHect one ofthe provisions in the compan!Js current contract ith the union that represents the customer service agents

he provision is that each agent orks an eight-hour shift. he authori#ed shifts are*hift / 0 4% to B %*hift B ? 4% to C %*hift D 5oon to ? %

ime eriod ime eriods 7overed b! *hift*hift C C % to %idnight

*hift E / % to 0 4% / B D C0. 4% to ?. 4% /?. 4% to / . 4% / // . 4% to 5oon / /5oon to B. % / / /B. % to C. % / /C. % to 0. % / /0. % to ?. % / /?. % to / . % // . % to %id /%id to 0. 4%Kail! 7ost per 4gent /9 /0 /9E /? /AE


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5umber 4gents*ign 5eededG C?G 9AG 0EG ?9

G 0CG 9DG ?BG CDG EBG /E

otal 7ostD 0/


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Microsoft Excel 14.0 Answer ReportWorksheet: [(1)Cost- r!"e-#$.xls% !n2 "i wor"Report Cre!te": 11&1'& 01 1 : 1: 0 +MRes,lt: ol er fo,n" ! sol,tion. All Constr!ints !n" opti/!lit con"itions !re s!

ol er En2inengine *imple+ L

*olution ime . /0 *econds.1terations C *ubproblems

ol er #ptions%a+ ime 2nlimited, 1terations 2nlimited, recision . /%a+ *ubproblems 2nlimited, %a+ 1nteger *ols 2nlimited, 1nteger olerance /3, 4ssume

6bjective 7ell (%in)Cell 3!/e #ri2in!l !l,e 5in!l !l,e

8 8/C otal 7ost /B90B.E

:ariable 7ellsCell 3!/e #ri2in!l !l,e 5in!l !l,e

8M8/D otal @eached arget E8L8/D otal ach %aga#ine 4d ./BE8%8/D otal ach *unda! 4d /B.D9E

7onstraints

Cell 3!/e Cell !l,e 5or/,l!8M8/D otal @eached arget E 8M8/D 8M8/0N8M8/E858// 7oupon @edemption @esult /CA 858// 8 8//858E 4d "udget @esult B9E0.BE 858E 8 8E8580 lanning "udget @esult AC?.9E 8580 8 80858? =oung children @esult 0. /BE 858?G 8 8?858A arent of !oung children @esult E 858AG 8 8A


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tis e".

5on5egative

6nte2er7ontin7ontin7ontin

t!t,s l!ck "inding"inding5ot "inding /BCD.9E5ot "inding E/.BE5ot "inding /. /BE"inding


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7ost 7ategor!7osts (8)

ach : 7ommercial ach %aga#ine 4d4d "udget D /E

lanning "udget A D+pected number of e+posures /D 0

arget 7ategor!5umber @eached in arg

ach : commercial ach %aga#ine 4d

=oung children /,B ,/arent of !oung children ,E ,B

@eOuirement7ontribution to ar

ach : *pot ach %aga#ine 4d

7oupon @edemption C


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ach *unda! 4d/C

E

et 7ategor! (in millions)

ach *unda! 4d

E,B E

@eOuired 4mountach *unda! 4d @eOuired 4mount

/B /CA

%inimum 4cceptableLevel


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ach : 7ommercial ach %aga#ine 4d"udget /D 0

4d "udget D /Elanning "udget A D

@eached arget =oung children /.B ./

arent of !oung children .E .B

7oupon @edemption C

otal E ./BE

E


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ach *unda! 4dE

@esult *ign 7onstrains/ B9E0.BE CC AC?.9E /

0. /BE G E

.B E G E

/B /CA /CA

/B.D9E otal 7ost/B90B.E

(1)Cost-Trade-Off (1).xls

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