DSCI 3870 Fall 2014 Exam 1 Key

7/25/2019 DSCI 3870 Fall 2014 Exam 1 Key

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DSCI 3870.002: Management Science

Exam # 1

09/23/2014

Time allotted: 75 minutes

Name:

SID#:

Please read this carefully

The uestions! "hi h $ou attem%t toda$! onsist o& T'ue/(alse and multi%le) hoi e uestions "o'th 200p ints total* Some o& these uestions a'e +ased on des 'i%ti,e ases* !here are a t tal f 28 "uesti ns.

-lease ans"e' all the uestions on the s ant'on sheet %'o,ided . .&te' $ou a'e done! %lease tu'n in thes ant'on and this uestion +oo let*

-lease note that $ou ha,e to ente' $ou' name and Student ID Num+e' SID# in the a+o,e a'ea and on thes ant'on* (ailu'e to do so "ill 'esult in a 'ade o& e'o *

This is an o%en +oo /o%en notes exam* ou a'e also allo"ed to use a %'o 'amma+le al ulato' and/o' la%to%om%ute'* e su'e to allo ate $ou time "isel$ +et"een the multi%le hoi e and T/( uestions*

#cr nyms such as $P% $&S 'left(hand side)% *&S 'right(hand side) etc. may ha+e ,een used. If y u areunsure a, ut an acr nym% please as- me the in+igilat r immediately.

.ll the +est666


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/ r uesti ns 1(3% c nsider the f ll ing classificati ns:

(easi+le e ion 8%timal SolutionI Non)existent . ) n+oundedII Sin le %oint ) ni ue

III (inite ;ine Se ment < .lte'nate 8%timaI= -ol$ on D No &easi+le solution= ) n+ounded

1* Su%%ose an ;- "ith 2 'e ula' onst'aints othe' than the non)ne ati,it$ onst'aints has >II? asits &easi+le 'e ion* I& one o& these t"o onst'aints is 'emo,ed! "hi h o& the &ollo"in


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7* Bhi h o& the &ollo"in "ould N8T +e an a e%ta+le o+ e ti,e &un tion &o' a linea' %'o 'ammin model@

a* Hin )3 1 J 5 2 +* Hax* 7 1 J 2/5

* Hin* 1 A 2A

d* Hin* 1 ) 2e* + and *

The next three uestions a'e +ased on the &ollo"in ase:The 'elationshi% d K 100 5% des 'i+es "hat ha%%ens to demand d as %'i e % ,a'ies* Ce'e! %'i e

an ,a'$ +et"een LG and L1G* The ost is L %e' unit*

G* Co" man$ units an +e sold at the L10 %'i e and at the L15 %'i e 'es%e ti,el$@a 25! 50

+ 10! 1540! 10

d G0! 45e None o& the a+o,e*A

9*


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12* . onst'aint an ha,e +oth %ositi,e su'%lus and %ositi,e sla ,a'ia+les*a* (alseA +* T'ue

13* Identi&i ation and de&inition o& a %'o+lema* annot +e done until alte'nati,es a'e %'o%osed*

+* is the &inal ste% o& %'o+lem sol,in ** is the &i'st ste% o& de ision ma in *Ad* 'e ui'es onside'ation o& multi%le 'ite'ia*

The next three uestions a'e +ased on the &ollo"in ase:

. manu&a tu'e' o& hot tu+s ma es t"o inds o& hot tu+s Bish$ and Bash$* Bish$ 'e ui'es 5 hou'so& la+o' and Bash$ 'e ui'es 3 hou's* Bish$ needs 30 &eet o& tu+in and Bash$ needs 20 &eet* Themanu&a tu'e' ex%e ts to ha,e 1000 la+o' hou's and 000 &eet o& tu+in a,aila+le* . sin le hot tu+ o& t$%e Bish$ 'e ui'es 2 %um%s "he'eas t$%e Bash$ 'e ui'es 3 %um%s* Ce has 700 %um%s at hisdis%osal* Ce ex%e ts to ma e a %'o&it o& LG0 on ea h t$%e o& hot tu+ Bish$ he sells and L 0 oBash$*

;et K the num+e' o& Bish$ +athtu+s manu&a tu'ed and K the num+e' o& Bash$ +athtu+smanu&a tu'ed*

14* The 8+ e ti,e (un tion &o' the %'o+lem is:

a* Hin G0 J 0 +* Hax 0 JG0

* Hax G0 A 0d* Hax G0 J 0 Ae* None o& the a+o,e*

15* Bhi h onst'aint s 'e%'esent s the 'est'i tion on the amount o& tu+in @a* 5 J3 1000

+* 2 J3 F 700* 30 J20 F 000

d* 3 J2 F 00e* and d +oth "o' *A

1 * The solution o& 150 Bish$ and 75 Bash$ tu+s ould +e the uni ue o%timal solution*a* T'ue*

+* (alse* A


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The &ollo"in si uestions 'elate d to the O .-CI


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17* Bhat is the


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The next t uestions a'e +ased on the &ollo"in ase To esta+lish a d'i,e' edu ation s hool! o' ani e's must de ide ho" man$ a's! inst'u to's! andstudents to ha,e*


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De&ine S! D! ; as the ,a'ia+les &o' the num+e's o& Standa'd! Deluxe and ;uxu'$ ou hes %'odu ed +$ the om%an$* Then the o''es%ondin ;- model is +uilt as &ollo"s:

Hax 1 0 S J 1G0 D J 250 ;

Su+ e t to:

0*5 S J 0* D J 0*7 ; 00


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e* oth + and "ould "o' *

27* Bhi h onst'aints ha,e %ositi,e su'%lus o' sla ,a'ia+les@a*

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DSCI 3870 Fall 2014 Exam 1 Key