8/17/2019 Assn No. 3 AP Problems

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NDIM, New DelhiASSIGNMENT No. 3

OPERATIONS RESEARCH TECHNIQUES

Last date of submission: 3rd March, 20!

 Notes:

1. The assignment must e !"ne in!i#i!uall$ $ ea%h stu!ent an! sumitte! t" the %lass &e'&esentati#e"ne !a$ e("&e the !ue !ate, i.e. $ )n! March, 20!2. The assi"nment must be hand #ritten in b$ue in% and shou$d not be co&ied or &hotoco&ied from another

student's assi"nment.3. The first sheet of the assi"nment shou$d be a com&uter &rint out and must indicate, name and ro$$ number of

the student. It shou$d contain a tab$e ha(in" three co$umns. Numerica$ No. shou$d be #ritten in the firstco$umn) the number of &arts of the numerica$ shou$d be #ritten in the second co$umn and the number of

 &arts done b* the student shou$d be #ritten in the third co$umn. +See the sam&$e tab$e in the net s$ide-. The$ast ro# of the tab$e shou$d indicate the tota$ number of numerica$s done and the a""re"ate of &arts ofnumerica$s done b* the student.

*. The %lass &e'&esentati#e must "tain a %"m'ute& '&int"ut "( the list "( stu!ents (&"m the "((i%e, ti%+

the names "( th"se stu!ents wh" ha#e sumitte! the assignment, 'ut a %&"ss against the names "( th"se

wh" ha#e n"t sumitte! the assignment, in!i%ate agg&egate "( 'a&ts "( nume&i%als !"ne against the

name "( ea%h stu!ent, sign the list an! han! it "#e& al"ng with all the assignments "n "& e("&e the

sta&t "( the sessi"n "n 3rd March, 20!. A c$ass test #i$$ be conducted for a$$ the numerica$s co(ered in the assi"nment on 3 rd March, 20!. /or those

students #ho ha(e submitted the assi"nment but are absent on 3 rd March, 20!, on$* ha$f the mar%s #i$$ be"i(en. Students &ic%ed u& at random #i$$ be as%ed to so$(e the numerica$s contained in the assi"nment.Those students #ho fai$ to so$(e the numerica$s that are "i(en to them #i$$ "et on$* ha$f the mar%s.

8/17/2019 Assn No. 3 AP Problems

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NDIM, New DelhiASSIGNMENT No. 3 1ATINS ESEA4 TE4NI56ES

S6MMA7 / N6MEIALS81ATS 9NE

Numerical No. No. of parts no. of parts done

1 2

2 2

3 2

4 2

5 2

6 2

7 2

8 2

9 2

10 2

11 2

12 2

13 2

14 2

15 2TOTA 15 30

A! pro"lems # $O%!&'O()

NA%*

'*$T+ON (O NO.

Total num"er of compulsor, numericalsdone out of a total of 15

Total num"er of parts of compulsor,numericals done out of a total of 30

  

Signature of the student and date

.

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 Assignment Problems - Numerical 1.

- *

A11 9 12

/8 9 6

$13 12 10

A''+N%*NT 3

A softare firm as tree softare enineers A / $ o specialise infinancial sector. +t as receied orders for tree softare o"s - * froma N/$. Te time taen in ours for softare enineers to carr, out te

 o"s is ien in te folloin ta"le.i-etermine o o"s sould "e assined to arious enineersiiat is te total time taen to carr, out all te o"s:

'; *N+N**(' 'OTA(*

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 Assignment Problems - Numerical 2 (Involving ‘h’) .

8/17/2019 Assn No. 3 AP Problems

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 Assignment Problems - Numerical 3 (Facilities Exceed as!s"

.

*

A 11 9 12  

/ 8 9 6  

$ 13 12 10   - 10 14 9  

A''+N%*NT   ;  3

A softare firm as four softare enineers A / $ - o specialise infinancial sector. +t as receied orders for tree softare o"s * froman N/$. Te time taen in ours for softare enineers to carr, out te

 o"s is ien in te folloin ta"le.i-etermine o o"s sould "e assined to arious enineersiiat is te total time taen to carr, out all te o"s:

'; *N+N**(' 'OTA(*

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Assignment Probems ! "umeri#a 4 $%as&s '(#eed a#iities).

* ?

A 11 9 12 10

/ 8 9 6 11

$ 13 12 10 7

A''+N%*NT 3  ;

A softare firm as tree softare enineers A / $ o specialise infinancial sector. +t as receied orders for four softare o"s * ?from a N/$. Te time taen in ours for softare enineers to carr, out

te o"s is ien in te folloin ta"le.i-etermine o o"s sould "e assined to arious enineersiiat is te total time taen to carr, out all te o"s:

'; *N+N**(' 'OTA(*

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 Assignment Problems - Numerical # ($aximisation"

! @ ( '

A 13 10 22 10

/ 25 26 18 6

$ 27 25 13 13

- 7 13 9 14

An adertisin compan, as receied contracts for four adertisin o"s !@('. Te contract amount for tese o"s is (s 35 las (s 30 las (s25 las (s 15 las respectiel,. Te adertisin o"s can "e carried out

", four teams A/$-. Te cost of carr,in out tese o"s ", ariousteams is ien in te folloin ta"le.i-etermine o tese adertisin o"s sould "e assined to ariousteams to ma>imise profit.iiat is te total profit:

T*A%' A-=*(T+'+N

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 Assignment Problems - Numerical % (Pro&ibited 'oute"

.

- *

A11

*A"’%+, 12

/8 9 6

$13 12 10

A''+N%*NT 3

A softare firm as tree softare enineers A / $ o specialise infinancial sector. +t as receied orders for tree softare o"s - * froma N/$. Te time taen in ours for softare enineers to carr, out te

 o"s is ien in te folloin ta"le.i-etermine o o"s sould "e assined to arious enineers ien tatA cannot carr, out o" *.iiat is te total time taen to carr, out all te o"s:

'; *N+N**(' 'OTA(*

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 Assignment Problems - Numerical (Pro&ibited 'oute"

! @ ( ' T

A 5 11 10 12 4

/ 2 4 6 3 5

$ 3 12 14 6 14- 6 14 4 11 7

* 7 9 8 12 5

or te folloin assinment pro"lemi-etermine o tass sould "e assined to arious facilities

iiat is te total time taen to carr, out all te tass:

A$++T+*' TA'C' BTime taen ?rs

.

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 Assignment Problems - Numerical )

or te folloin assinment pro"lem

i -etermine o o"s sould "e assined to arious mecanics

ii at is te total time taen to carr, out all te o"s:

A$++T+*' (*!A+(

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 Assignment Problems - Numerical *

or te folloin assinment pro"lem

i -etermine o o"s sould "e assined to arious facilitiesii at is te total time taen to carr, out all te o"s:

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 Assignment Problems - Numerical 1+

Te maretin manaer of an %$ compan, as to assin fie territoriesto fie sales representaties. 'ales aciea"le ", tem in arious sales

territories are ien in te folloin ta"le. i Assin sales territories to te sales representaties in suc a a, tatte sales are ma>imisedii at are total sales acieed ", all te representaties:

T*((+TO(+*' 'A*' (*!(*'*NTAT+=*'1 2 3 4 5$Annua Saes -n s a&hs)

T1 32 38 40 28 40T2 40 24 28 21 36

T3 41 27 33 30 37T4 22 38 41 36 36T5 29 33 40 35 39

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 Assignment Problems - Numerical 11

A cit, corporation ises to ae four fl,oers constructed at fourlocations A / $ -. our contractors ! @ ( ' ae ien teir

"ids for eac of tese fl,oers in (s crores as per folloin ta"le.Te cit, council ants tat eac contractor constructs one fl,oer sotat a sports eent deadline can "e met.

! @ ( 'A 35 26 20 17

/ 37 13 35 22$ 28 27 24 47- 35 33 19 28

i -etermine o te contracts sould "e aarded so tat te total costincurred in te construction of all te four fl,oers is minimiDed.

ii at is te total cost of constructin all te fl,oers:

8/17/2019 Assn No. 3 AP Problems

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 Assignment Problems - Numerical 12

An automo"ile compan, as to desin si> different ears used in teear"o> of teir ne model of car. Te time taen in ours to desin teseears ", si> desin enineers A / $ - * are ien in te ta"le "elo.

i-etermine o te o" of desinin ears sould "e allocated to ariousdesin enineers so tat total time taen is minimisediiat is te total time taen to desin tese ears :

1 2 3 4 5 6$%ime %a&en -n ours)

A 40 73 41 55 24 53/ 21 28 48 64 79 51$ 26 40 62 53 31 33- 44 51 47 54 36 44* 30 38 39 26 30 33 81 41 40 62 52 30

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 Assignment Problems - Numerical 13

Te maretin manaer of a deterent poder manufacturin compan,as to assin tree sales territories ! @ (. Tere are four sales

officers A / $ - ose potential to sell in terms of (s lasper Euarter in eac of tese territories is ien in te ta"le "elo.i +f one sales officer can "e assined one and onl, one territor,

determine o te territories ma, "e assined so tat total sales arema>imised.

ii Also find total sales per Euarter as a result of te assinment

T*((+TO(+*''A*' O+$*(' ! @ (A 10 7 8

/ 8 9 7$ 7 12 6- 10 10 8

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 Assignment Problems - Numerical 1,

Tere are four t,pes of claims $1 $2 $3 $4 tat are to "e processed in aninsurance compan, ", four claim assessors A / $ -. Time taen ", eacone of tem to process tese claims is ien "elo.

i-etermine o claims sould "e assined to arious claim assessors sotat te total time taen is minimised assumin tat one assessor is to "eassined one and onl, one claim.ii-etermine te total time taen to process all te claims. B$! means canFtprocess

  $1 $2 $3 $4A 6 6 4 2/ 3 $! 5 3$ $! 8 7 4

- 4 7 5 6

A i P bl N i l 1#

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 Assignment Problems - Numerical 1#

our sales men are to "e assined to four sales territories. Te annualsales in (s las tat can "e acieed ", tese salesmen in teseterritories are ien in te folloin matri>.

T * ( ( + T O ( + * ''A*'%*N T1 T2 T3 T4'1 42 35 28 21'2 30 25 20 15

'3 30 25 20 15'4 40 20 16 12

iAssin te territories to te salesmen so tat sales are ma>imiDediiat is te amount of sales tus acieed: