MAT540 Quiz Chapter 3

Introduction to Management Science, 10e (Taylor) Chapter 3 Linear Programming: Computer Solution and Sensitivity Analysis

1) The reduced cost (shadow price) for a positive p ositive decision variable is 0. Answer: TRUE Diff:  !a"e Ref: #0 $ain %eadin": &o'puter olution e* words: shadow price+ sensitivit* anal*sis anal*sis ) ,hen the ri"ht-hand sides of  constraints are both increased b* 1 unit+ the value of the obective function will be adusted b* the su' of the constraints/ prices. Answer: AE Diff: 2 !a"e Ref: #0 $ain %eadin": &o'puter olution e* words: sensitive anal*sis+ anal*sis+ ri"ht-hand-side ri"ht-hand-side 2) ,hen a linear pro"ra''in" proble' is solved usin" a co'puter pac3a"e decision variables will alwa*s be inte"er and therefore decision variable values never need to be rounded. Answer: AE Diff: 1 $ain %eadin": &o'puter olution e* words: co'puter solution 4) ensitivit* ran"es can be co'puted onl* for the ri"ht hand sides of constraints. Answer: AE Diff: 1 !a"e Ref: #0 $ain %eadin": &o'puter olution e* words: co'puter solution 5) ensitivit* anal*sis deter'ines how a chan"e in a para'eter affects the opti'al solution. Answer: TRUE Diff:  !a"e Ref: 6# $ain %eadin": ensitivit* Anal*sis e* words: sensitivit* anal*sis 7) The sensitivit* ran"e for an obective function coefficient is the ran"e of values over which the current opti'al solution point (product 'i8) will re'ain opti'al. Answer: TRUE Diff:  !a"e Ref: 91 $ain %eadin": ensitivit* Anal*sis e* words: sensitivit* anal*sis+ anal*sis+ obective coefficients coefficients

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6) The sensitivit* ran"e for an obective function coefficient is the ran"e of values over which the profit does not chan"e. Answer: AE Diff:  !a"e Ref: 91 $ain %eadin": ensitivit* Anal*sis e* words: sensitivit* anal*sis+ anal*sis+ obective coefficients coefficients 9) The sensitivit* ran"e for a constraint
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12) A chan"e in the value of an obective function coefficient will alwa*s chan"e the value of the opti'al solution. Answer: AE Diff:  !a"e Ref: 91 $ain %eadin": ensitivit* Anal*sis e* words: sensitivit* anal*sis 14) The ter's reduced cost+ shadow price+ and dual price all 'ean the sa'e thin". Answer: TRUE Diff: 1 !a"e Ref: #0 $ain %eadin": ensitivit* Anal*sis e* words: sensitivit* anal*sis 15) ensitivit* anal*sis can be used to deter'ine the effect on the solution for chan"in" several para'eters at once. Answer: AE Diff:  !a"e Ref: #0 $ain %eadin": ensitivit* Anal*sis e* words: sensitivit* anal*sis 17) or a profit 'a8i'i=ation proble'+ if the allowable increase for a coefficient in the obective function is infinite+ then profits are unbounded. Answer: AE Diff:  !a"e Ref: 91 $ain %eadin": ensitivit* Anal*sis e* words: sensitivit* anal*sis 16) The reduced cost (shadow price) for a positive decision variable is >>>>>>>>>>. Answer: =ero Diff:  !a"e Ref: 91 $ain %eadin": ensitivit* Anal*sis e* words: sensitivit* anal*sis+ shadow price 19) The sensitivit* ran"e for a >>>>>>>>>> is the ran"e of values over which the >>>>>>>>> is the anal*sis of the effect of para'eter chan"es on the opti'al solution. Answer: ensitivit* anal*sis Diff:  !a"e Ref: 6 $ain %eadin": ensitivit* Anal*sis e* words: sensitivit* anal*sis


0) The sensitivit* ran"e for a constraint >>>>>>>>> is valid. Answer: shadow price Diff:  !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis e* words: sensitivit* anal*sis+ shadow price 1) The sensitivit* ran"e for an >>>>>>>>>> coefficient is the ran"e of values over which the current opti'al solution point (product 'i8) will re'ain opti'al. Answer: obective function Diff: 1 !a"e Ref: 91 $ain %eadin": ensitivit* Anal*sis e* words: sensitivit* anal*sis+ obective coefficients &onsider the followin" linear pro"ra'+ which 'a8i'i=es profit for two products+ re"ular (R)+ and super (): $A? 50R @ 65 s.t. 1.R @ 1.7   700 asse'bl* (hours) 0.9R @ 0.5   200 paint (hours) .17R @ 0.4   100 inspection (hours) Sensitivity Report:

Cell

$ame

BCB6 B&B6

Re"ular  uper 

Cell

$ame

BEB2 Asse'bl* (hrunit) BEB4 !aint (hrunit) BEB5 ;nspect (hrunit)

Final %alue

#1.76 122.22

Final %alue

572.22 200.00 100.00

Reduced Cost

!"ective Coe&&icient

Allo#a!le 'ncrease

Allo#a!le ecrease

0.00 0.00

50 65

60 50

0 42.65

Shado# Price

Constraint R* Side

Allo#a!le 'ncrease

Allo#a!le ecrease

700 200 100

1E@20 2#.# 1.#4

27.76 165 40

0.00 22.22 145.92

) The opti'al nu'ber of re"ular products to produce is >>>>>>>>>>+ and the opti'al nu'ber of super products to produce is >>>>>>>>>>+ for total profits of >>>>>>>>>>. Answer: #1.76+ 122.22+ B4+592 Diff: 1 !a"e Ref: 67 $ain %eadin": ensitivit* Anal*sis e* words: co'puter solution


2) ;f the co'pan* wanted to increase the available hours for one of their constraints (asse'bl*+ paintin"+ or inspection ) b*  hours+ the* should increase >>>>>>>>>>. Answer: ;nspection Diff:  !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis e* words: co'puter solution+ sensitivit* anal*sis 4) The profit on the super product could increase b* >>>>>>>>>> without affectin" the product 'i8. Answer: B50. Diff: 1 !a"e Ref: 69 $ain %eadin": ensitivit* Anal*sis e* words: co'puter solution 5) ;f downti'e reduced the available capacit* for paintin" b* 40 hours (fro' 200 to 70 hours)+ profits would be reduced b* >>>>>>>>>>. Answer: B1+222 Diff:  !a"e Ref: 91 $ain %eadin": ensitivit* Anal*sis e* words: co'puter solution+ sensitivit* anal*sis 7) A chan"e in the 'ar3et has increased the profit on the super product b* B5. Total profit will increase b* >>>>>>>>>>. Answer: B776 Diff:  !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis e* words: co'puter solution+ sensitivit* anal*sis


Trac3saws+ ;nc. 'a3es tractors and lawn 'owers. The fir' 'a3es a profit of B20 on each tractor and B20 on each lawn 'ower+ and the* sell all the* can produce. The ti'e re
or'ulation: et 8  nu'ber of tractors produced per period *  nu'ber of lawn 'owers produced per period $A? 208 @ 20* subect to  8 @ *  70  8 @ 2*  10 8  45 The "raphical solution is shown below.

6) %ow 'an* tractors and saws should be produced to 'a8i'i=e profit+ and how 'uch profit will the* 'a3eF Answer: 15 tractors and 20 saws for B1+250 in profit Diff:  !a"e Ref: 66 $ain %eadin": Graphical olutions of inear !ro"ra''in" $odels e* words: "raphical solution+ si'ultaneous solution


9) Deter'ine the sensitivit* ran"e for the profit for tractors. Answer: 0  8  70 Diff:  !a"e Ref: 91 $ain %eadin": ensitivit* Anal*sis and Graphical olution e* words: "raphical solution+ sensitivit* anal*sis #) ,hat is the shadow price for asse'bl*F Answer: 0 Diff:  !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis and Graphical olution e* words: "raphical solution+ sensitivit* anal*sis 20) ,hat is the shadow price for fabricationF Answer: B6.50 Diff:  !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis and Graphical olution e* words: sensitivit* anal*sis+ ri"ht-hand-side value 21) ,hat is the 'a8i'u' a'ount a 'ana"er would be willin" to pa* for one additional hour of 'achinin" ti'eF Answer: B1256.50 - B1250  B6.50 Diff: 2 !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis and Graphical olution e* words: "raphical solution+ sensitivit* anal*sis 2) A brea3down in fabrication causes the available hours to drop fro' 10 to #0 hours. %ow will this i'pact the opti'al nu'ber of tractors and 'owers producedF Answer: 8  .5+ *  15+ H  115+ so profits will fall b* B1250 - B115  B5. tudents 'a* also answer the

The production 'ana"er for the ,hopp* soft drin3 co'pan* is considerin" the production of  3inds of soft drin3s: re"ular (R) and diet (D). The co'pan* operates one J9 hourJ shift per da*. Therefore+ the production ti'e is 490 'inutes per da*. Durin" the production process+ one of the 'ain in"redients+ s*rup is li'ited to 'a8i'u' production capacit* of 765 "allons per da*. !roduction of a re"ular case re
The sensitivit* report is "iven below Adj us t a bl eCe l l s

Cell BCB7 B&B7

Final Reduced !"ective $ame %alue Cost Coe&&icient Re"ular  #0.00 0.00 2 Diet  65.00 0.00 

Allo#a!le Allo#a!le 'ncrease ecrease 0.22  4 0.

&onstraints Cell BEB2 BEB4

Final Shado# $ame %alue Price !roduction ('inutes) 490.00 0.06 *rup ("allons) 765.00 0.56

Constraint Allo#a!le Allo#a!le R* Side 'ncrease ecrease 490 40 10 765 55 215

24) ,hat is the opti'al dail* profitF Answer: B40 Diff: 1 !a"e Ref: 67 $ain %eadin": ensitivit* Anal*sis and &o'puter olution e* words: co'puter solution 25) %ow 'an* cases of re"ular and how 'an* cases of diet soft drin3 should ,hopp* produce to 'a8i'i=e dail* profitF Answer: #0 cases of re"ular and 65 cases of diet Diff: 1 !a"e Ref: 67 $ain %eadin": ensitivit* Anal*sis and &o'puter olution e* words: co'puter solution


27) ,hat is the sensitivit* ran"e for the per case profit of a diet soft drin3F Answer: 1.9  c  7.0 Diff:  !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis and &o'puter olution e* words: sensitivit* anal*sis+ obective coefficients 26) ,hat is the sensitivit* ran"e of the production ti'eF Answer: 60  b1  #00 Diff:  !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis and &o'puter olution e* words: sensitivit* anal*sis+ obective coefficients 29) if the co'pan* decides to increase the a'ount of s*rup it uses durin" production of these soft drin3s to ##0 lbs. will the current product 'i8 chan"eF ;f show what is the i'pact on profitF Answer: Kes.+ ;ncrease in profit  0.56(##0 - 765)  B190 Diff:  !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis and &o'puter olution e* words: sensitivit* anal*sis+ obective coefficients $allor* furniture bu*s  products for resale: bi" shelves (C) and 'ediu' shelves ($). Each bi" shelf costs B500 and re
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41) ;f the $allor* urniture is able to increase the profit per 'ediu' shelf to B00+ would the co'pan* purchase 'ediu' shelves. ;f so+ what would be the new product 'i8 and the total profitF Answer: *es+ Ci"  #0+ $ediu'  100 H  B46+000 Diff:  !a"e Ref: 91 $ain %eadin": ensitivit* Anal*sis and Graphical olution e* words: sensitivit* anal*sis+ obective coefficients


The linear pro"ra''in" proble' whose output follows is used to deter'ine how 'an* bottles of fire red nail polish (81)+ bri"ht red nail polish (8)+ basil "reen nail polish(82)+ and basic pin3 nail polish(84) a beaut* salon should stoc3. The obective function 'easures profitL it is assu'ed that ever* piece stoc3ed will be sold. &onstraint 1 'easures displa* space in units+ constraint  'easures ti'e to set up the displa* in 'inutes. Mote that "reen nail polish does not re
81 @ 8 @ 82 @ 84 109 281 @ 58 @ 84  10 81 @ 82  5 8 @ 82 @ 84 N 50 81+ 8 + 82+ 84 N 0

Opti'al olution: Obective unction Palue  6465.000

Obective &oefficient Ran"es


Ri"ht %and ide Ran"es

4) %ow 'uch space will be left unusedF %ow 'an* 'inutes of idle ti'e re'ainin" for settin" up the displa*F Answer: 0+ 72 Diff: 2 !a"e Ref: 66 $ain %eadin": ensitivit* Anal*sis and &o'puter olution e* words: co'puter solution+ sensitivit* anal*sis 42) a) To what value can the per bottle profit on fire red nail polish drop before the solution (product 'i8) would chan"eF b) C* how 'uch can the per bottle profit on "reen basil nail polish increase before the solution (product 'i8) would chan"eF Answer: a) 96.5+ b) 1 Diff:  !a"e Ref: 91 $ain %eadin": ensitivit* Anal*sis and &o'puter olution e* words: co'puter solution+ sensitivit* anal*sis 44) a) C* how 'uch can the a'ount of space decrease before there is a chan"e in the profitF b) C* how 'uch can the a'ount of space decrease before there is a chan"e in the product 'i8F c) C* how 'uch can the a'ount of ti'e available to setup the displa* can increase before the solution (product 'i8) would chan"eF d) ,hat is the lowest value for the a'ount of ti'e available to setup the displa* before the solution (product 'i8) would chan"eF Answer: a) 0 b) 9 c) 0 d) 56 Diff:  !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis and &o'puter olution e* words: co'puter solution+ sensitivit* anal*sis 45) Kou are offered the chance to obtain 'ore space. The offer is for 15 units and the total price is B1500. ,hat should *ou doF ,h*F Answer: reect the offer+ (11 8 15)  115 Q 1500 Diff:  !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis and &o'puter olution e* words: co'puter solution+ sensitivit* anal*sis

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47) $a8 H  581 @ 28 ubect to: 781 @ 8  19 1581 @ 08  70 81 @ 8 N 0 Deter'ine the sensitivit* ran"e for each constraint. Answer: constraint 1: 7 - 4 constraint : 45 - 190 Diff: 2 !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis and &o'puter olution e* words: sensitivit* anal*sis+ sensitivit* ran"e for ri"ht hand sides 46) $a8 H  581 @ 28 ubect to: 781 @ 8  19 1581 @ 08  70 81 @ 8 N 0 Deter'ine the sensitivit* ran"e for each obective function c oefficient. Answer: 81: .5 - #.0 and+ 8: 1.776 - 7.776 Diff: 2 !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis and &o'puter olution e* words: sensitivit* anal*sisran"e for obective function coefficients 49) $a8 ubect to:

H  281 @ 28 1081 @ 48  70 581 @ 508  00 81 + 8 N 0 Deter'ine the sensitivit* ran"e for each obective function c oefficient. Answer: 81: 1.5 - 6.5 and+ 8: 1. - 7.0 Diff: 2 !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis and &o'puter olution e* words: sensitivit* anal*sisran"e for obective function coefficients 4#) or a 'a8i'i=ation proble'+ assu'e that a constraint is bindin". ;f the ori"inal a'ount of a resource is 4 lbs.+ and the ran"e of feasibilit* (sensitivit* ran"e) for this constraint is fro' 2 lbs. to 7 lbs.+ increasin" the a'ount of this resource b* 1 lb. will result in the: A) sa'e product 'i8+ different total profit C) different product 'i8+ sa'e total profit as before &) sa'e product 'i8+ sa'e total profit D) different product 'i8+ different total profit Answer: A Diff:  !a"e Ref: 94 $ain %eadin": &o'puter olution e* words: co'puter solution+ sensitivit* anal*sis


50) A plant 'ana"er is atte'ptin" to deter'ine the production schedule of various products to 'a8i'i=e profit. Assu'e that a 'achine hour constraint is bindin". ;f the ori"inal a'ount of 'achine hours available is 00 'inutes.+ and the ran"e of feasibilit* is fro' 120 'inutes to 240 'inutes+ providin" two additional 'achine hours will result in: A) the sa'e product 'i8+ different total profit C) a different product 'i8+ sa'e total profit as before &) the sa'e product 'i8+ sa'e total profit D) a different product 'i8+ different total profit Answer: D Diff: 2 !a"e Ref: 94 $ain %eadin": &o'puter olution e* words: co'puter solution+ sensitivit* anal*sis The production 'ana"er for Ceer etc. produces  3inds of beer: li"ht () and dar3 (D). Two resources used to produce beer are 'alt and wheat. %e can obtain at 'ost 4900 o= of 'alt per wee3 and at 'ost 200 o= of wheat per wee3 respectivel*. Each bottle of li"ht beer re

52) ,hat is the opti'al wee3l* profitF A) B1000 C) B#00 &) B900 D) B600 E) B700 Answer: & Diff:  !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis e* words: co'puter solution $allor* urniture bu*s  products for resale: bi" shelves (C) and 'ediu' shelves ($). Each bi" shelf costs B500 and re

The production 'ana"er for the ,hopp* soft drin3 co'pan* is considerin" the production of  3inds of soft drin3s: re"ular and diet. The co'pan* operates one J9 hourJ shift per da*. Therefore+ the production ti'e is 490 'inutes per da*. Durin" the production process+ one of the 'ain in"redients+ s*rup is li'ited to 'a8i'u' production capacit* of 765 "allons per da*. !roduction of a re"ular case re

5#) ,hich of the followin" could not be a linear pro"ra''in" proble' constraintF A) A @ C  -2 C) A - C  -2 &) A - C  2 D) A @ C N -2 E) -A @ C  -2 Answer: A Diff:  !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis e* words: "raphical solution+ feasibilit* 70) Use the constraints "iven below and deter'ine which of the followin" points is feasible. (1) 148 @ 7*  4 () 8 - *  2 A) 8  1L *  5 C) 8  L *   &) 8  L *  9 D) 8  L *  4 E) 8  2L *  0.5 Answer: C Diff:  !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis e* words: constraints 71) or the constraints "iven below+ which point is in the feasible re"ion of this 'ini'i=ation proble'F (1) 148 @ 7*  4 () 8 @ 2* N 7 A) 8  0L *  4 C) 8  L *  5 &) 8  1L *   D) 8  L *  1 E) 8  L *  2 Answer: & Diff: 2 !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis e* words: constraints


7) ,hat co'bination of 8 and * is a feasible solution that 'ini'i=es the value of the obective function F $in H  28 @ 15* (1) 8 @ 4* N 1 () 58 @ * N10 A) 8  0L *  2 C) 8  0L *  5 &) 8  5L *  0 D) 8  7L *  0 E) 8  4L *  1 Answer: D Diff: 2 !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis e* words: feasibilit*+ constraints 72) A shadow price reflects which of the followin" in a 'a8i'i=ation proble'F A) the 'ar"inal "ain in the obective that would be reali=ed b* addin" 1 unit of a resource C) the 'ar"inal "ain in the obective that would be reali=ed b* subtractin" 1 unit of a resource &) the 'ar"inal cost of addin" additional resources D) the 'ar"inal "ain of sellin" one 'ore unit Answer: A Diff: 2 !a"e Ref: #0 $ain %eadin": ensitivit* Anal*sis e* words: shadow price+ sensitivit* anal*sis 74) Given the followin" linear pro"ra''in" proble': $a8 H  158 @ 0 * s.t. 98 @ 5*  40 48 @ * N 4 ,hat would be the values of 8 and * that will 'a8i'i=e revenueF A) 8  5L *  0 C) 8  0L *  9 &) 8  0L *  1 D) 8  1L *  0 E) 8  2L *  4 Answer: C Diff:  !a"e Ref: 64 $ain %eadin": ensitivit* Anal*sis e* words: for'ulation+ solution


75) Given the followin" linear pro"ra' that 'a8i'i=es revenue: $a8 H  158 @ 0 * s.t. 98 @ 5*  40 48 @ * N 4 ,hat is the 'a8i'u' revenue at the opti'al solutionF A) B10 C) B170 &) B195 D) B00 Answer: C Diff:  !a"e Ref: 64 $ain %eadin": ensitivit* Anal*sis e* words: for'ulation+ solution Given the followin" linear pro"ra''in" proble' that 'ini'i=es cost. $in H  8 @ 9* ubect to (1) 98 @ 4* N 74 () 8 @ 4* N 2 (2) * N  77) Deter'ine the opti'u' values for 8 and *. A) 8  L *  7 C) 8  7L *   &) 8  1L *   D) 8  L *   E) 8  7L *  5 Answer: & Diff: 2 !a"e Ref: 64 $ain %eadin": Graphical olutions of inear !ro"ra''in" $odels e* words: for'ulation+ solution 76) At the opti'al solution the 'ini'u' cost is: A) B20 C) B40 &) B50 D) B5 E) B52.22 Answer: C Diff:  !a"e Ref: 64 $ain %eadin": Graphical olutions of inear !ro"ra''in" $odels e* words: for'ulation+ solution

1# &op*ri"ht  010 !earson Education+ ;nc. !ublishin" as !rentice %all

79) ,hat is the sensitivit* ran"e for the cost of 8F A) 0 to  C) 4 to 7 &)  to 4 D) 0 to 4 Answer: D Diff:  !a"e Ref: 91 $ain %eadin": ensitivit* Anal*sis and &o'puter olution e* words: sensitivit* anal*sisran"e for obective function coefficients 7#) ,hat is the sensitivit* ran"e for the third constraint+ * N F A) 0 to 4 C)  to 5.22 &) 0 to 5.22 D) 4 to 7.22 Answer: & Diff:  !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis and Graphical olution e* words: sensitivit* anal*sis+ >>>>>>>>> in the value of the opti'al solution+ per unit increase for a "iven >>>>>>>>>>. A) decrease+ resource C) increase+ para'eter &) i'prove'ent+ resource D) chan"e+ obective function coefficient E) decrease+ para'eter Answer: & Diff: 2 !a"e Ref: #0 $ain %eadin": ensitivit* Anal*sis e* words: co'puter solution+ sensitivit* anal*sis 61) ensitivit* anal*sis is the anal*sis of the effect of >>>>>>>>>> chan"es on the >>>>>>>>>>. A) price+ co'pan* C) cost+ production &) para'eter+ opti'al solution D) none of the above Answer: & Diff:  !a"e Ref: 6# $ain %eadin": ensitivit* Anal*sis e* words: sensitivit* anal*sis

0 &op*ri"ht  010 !earson Education+ ;nc. !ublishin" as !rentice %all

6) or a linear pro"ra''in" proble'+ assu'e that a "iven resource has not been full* used. ,e can conclude that the shadow price associated with that constraint: A) will have a positive value C) will have a ne"ative value &) will have a value of =ero D) could have a positive+ ne"ative or a value of =ero. (no si"n restrictions) Answer: & Diff: 2 !a"e Ref: #0 $ain %eadin": ensitivit* Anal*sis e* words: sensitivit* anal*sis+ shadow price 62) or a resource constraint+ either its slac3 value 'ust be >>>>>>>>>> or its shadow price 'ust be >>>>>>>>>>. A) ne"ative+ ne"ative C) ne"ative+ =ero &) =ero+ =ero D) =ero+ ne"ative Answer: & Diff: 2 !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis e* words: sensitivit* anal*sis+ shadow price


Aunt Anastasia operates a s'all business: she produces seasonal cera'ic obects to sell to tourists. or the sprin"+ she is plannin" to 'a3e bas3ets+ e""s+ and rabbits. Cased on *our discussion with *our aunt *ou construct the followin" table.

Kour aunt also has co''itted to 'a3e 5 rabbits for a charitable or"ani=ation. Cased on the infor'ation in the table+ *ou for'ulate the proble' as a linear pro"ra'. C  nu'ber of bas3ets produced E  nu'ber of e""s produced R  nu'ber of rabbits produced $A? .5C @ 1.5E @ R s.t. 0.5 C @ 0.222E @ 0.5R  0 C @ E @ R  50 0.5C @ 0.222E @ 0.65R  90 R N 5 The E8cel solution and the answer and sensitivit* report are shown below. The Ans#er Report:

 &op*ri"ht  010 !earson Education+ ;nc. !ublishin" as !rentice %all

The Sensitivity Report:

64) ,hich additional resources would *ou reco''end that Aunt Anastasia tr* to obtainF A) 'i8'old C) 3iln &) paint and seal D) de'and E) &annot tell fro' the infor'ation provided Answer: C Diff: 1 !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis e* words: co'puter solution+ sensitivit* anal*sis 65) uppose the charitable or"ani=ation contacted Aunt Anastasia and told her that the* had overesti'ated the a'ount of rabbits the* needed. ;nstead of 5 rabbits+ the* need 25. %ow would this affect Aunt Anastasia/s profitsF A) !rofits would increase b* B5. C) !rofits would decrease b* B5 &) !rofits would increase b* B.50 D) !rofits would decrease b* B.50 E) &annot tell fro' the infor'ation provided. Answer: C Diff: 2 !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis e* words: co'puter solution+ sensitivit* anal*sis


67) Aunt Anastasia feels that her prices are too low+ particularl* for her e""s. %ow 'uch would her profit have to increase on the e""s before it is profitable for her to 'a3e and sell e""sF A) B0.50 C) B1.00 &) B1.50 D) B.50 E) Mone of the above Answer: C Diff:  !a"e Ref: 91 $ain %eadin": ensitivit* Anal*sis e* words: co'puter solution+ sensitivit* anal*sis 66) Aunt Anastasia/s available hours for paint and seal have fallen fro' 90 hours to 70 hours because of other co''it'ents. %ow will this affect her profitsF A) !rofits will decrease b* B20. C) !rofits will increase b* B20. &) !rofits will decrease b* B0. D) !rofits will increase b* B0. E) !rofits will not chan"e. Answer: E Diff:  !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis e* words: co'puter solution+ sensitivit* anal*sis 69) Aunt Anastasia can obtain an additional 10 hours of 3iln capacit* free of char"e fro' a friend. ;f she did this+ how would her profits be affectedF A) !rofit would increase b* B5. C) !rofits would decrease b* B5. &) !rofits would increase b* B7.5. D) !rofits would decrease b* B7.5 E) &annot tell fro' the infor'ation provided. Answer: & Diff:  !a"e Ref: 94 $ain %eadin": ensitivit* Anal*sis e* words: co'puter solution+ sensitivit* anal*sis


6#) Aunt Anastasia is plannin" for ne8t sprin"+ and she is considerin" 'a3in" onl*  products. Cased on the results fro' the linear pro"ra'+ which two products would *ou reco''end that she 'a3eF A) bas3ets and e""s C) bas3ets and rabbits &) e""s and rabbits D) he should continue to 'a3e all 2. E) &annot tell fro' the infor'ation provided. Answer: C Diff: 1 !a"e Ref: 91 $ain %eadin": ensitivit* Anal*sis e* words: co'puter solution+ sensitivit* anal*sis


Cill*/s Clues sells 2 t*pes of T-shirts: Astro+ Clin"+ and &urious. $anufacturin" Astros re

90) ;f Cill* could ac

MAT540 Quiz Chapter 3

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