(sample) Exam #3 (with solutions)

(sample) Exam #3 (with solutions) - “walk-T3813 Section:...

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Unformatted text preview: “walk-T3813 Section: ALL Nm__L<2f.__ Slaw Wan Work to uceivecrefi: on «1! problems andplam your «mum in the blank provided. mint vain, ofeach problem f5 limmtficpmbimmmc Wmmdmwfiwwsm 1352, LlfmmixA = 2 1 4 3 findanandmesizeoi A: (2mimseach) an: 4' 7 2 0 8 Sheath; 3 x4 26mm: Z],B=[*01 “3,0: [’12 ‘01 [1)] ,and 13L: $],findeachofthefgflowmgz (490iflt8mh) 3 a.) A7 4’ 3] b.) A+ZB ‘ Y” «a H :£%‘2]+H’]<~E§Zj 3 .1 -- 0 )BC c -13») ,«a »i 0 3 Q 1 - ‘7“ ‘3 i [i ‘3 1 d. o 1] d)BI ‘ I ’1 ’2] 4, 0 Ti '2 o ’1. O 1 C d 0 ’1, 3Wfitea2 2Wwithaufiesa=i ‘ * [ 3 3] ' " r; +J'(4P01m$} 0‘11: 1‘1 «31:24. ‘ 3 4 Q1 1‘1") muzzl-ya 4. Completeeachotpdw follwing: (a: 3mm, b: Spoims) a.) lfAis33X4mmandBisa4XSmmmeuthesizeofABis 31'! L b.)1f Aisasx 7 maxfixamlBisafix 3mmisflaemauixmultipllcadonmpossible? MO Explain: hwuust 7 , wanpr-Héa :3 rmi' [Orij ELL 5. Solveeachsystemofmmulwmmmmmmmmmmmummm of x We!!! if necessary. {6 points teach) Y 3 32’ + ~< i! w u H «bu ‘ R ,,‘3‘. ,_ .. 43 i “E 1/6 5 32: P3:3; 1"9[;‘]5i1:§**[10f3] o 1 4 b.) x + y ~ 22 =0 {MWWMywimwmficflmmflxfimwfim X 3 Z t 23* 33! - 5230 Y: Z ‘* Z :2 E 'L 1 *9 0* RVJM 1i L ’3 o A .3 :3? 31 3 “5,0 4 E0 1 -L}oji‘5)[1$—% 3 ~- 3‘5 1 J 5‘ 1L 1 '2 Fifi?) i 0 Vi M 33E3‘5 [0&4] 31-1‘9Yf 6. Classify eachofthefoliowing asTnumr Fahhycimlingthe appropriate letter. (2 paints each) Z: E a o 3 o ' '1‘ @ a.)lfaredncedmirixfarauuearsysmmis[0 1 2 0 ,mzhesystemhasnosomflm. o o o u T MAWoussymmofmmfinwequmwmNahawmhaexxfiymwm.flmumalwlmm. 7 a.) WflumesystemofequadmsbelowasammequafioninlheformAx=B: (21mins) x+3y==2 [1 3HXJ,_[:> x+2y==s MatrixEQLmion: 1 3 ' 5.) Find the firm, that is A“. for the coefficient matrix A from part 73 above. (swims) 13 M @345 1310 £544.31?) u. {i <3 ‘31 [o 414 iji'i A4: 3.3 RI!“ 1 0e; 3 i [a 1‘14 X331 3. The region inflamed in the diagram below is best descfibed by: (0mm medium) (5 points) 3: 2:: y 2x y<2x y 2:: y 2): (I D A) x+y>1 B} x+y 1 ) x+y>l ) x+y>1 E) x+y 1 9. Maximize 2. = 4m + y mjeazocomm «x + y :51. 2x + y g 10, x30, yzousingeachmethad below. a.} Linear Wing. Graph the consumints. the feasible region, and complete each portion of the work idemified belaw: (13 points) Indicate whetbaryou left the feasibie’region shaded or @ {Circle one.) _, Coordinates cf verifies (mm) offeaslbte region: 0* " ( 5) 0 > . wax) /' fl 4 Processtomaximizez: mid”. “Jar?” C “'7 (0,. v) v pnm+ a: ‘1 45m 7-110 lo 3 Z: “3 4' ‘1 '3 I 1:» Wine afz and coordinates at the maximum: Wu «.4; (5,229 (Problemrestatemem; Maximize Z = §x+y subjmroconsmim ~x+ y 511.22: + y 5. 10.x210, yga) ’4x*)/+Z’30 b.) m W MM: (13 points) Weanstminu W m equations with shack Mafia; hare: (Yw may work withxaadyorwim x. and x; in place ofxfirifyouwish) ‘ “)4 4A] *§¢S 1. a)! 4’5} {WWTGMQ’ “Mac. *1 *1. 1 a .1, 1 b Ravi ~1 i i a 0 I i] @i D 1" 0 i.” w“; L ‘/1 O ‘A n 1: “m7 ""” “"3 3" 1'3 0 O Rama. 1 Va 0 up as 18. W Smart: A mamfacm produces two pmdum, pmduct A and pmducz 3. Both pmdmts require processing on Machine I and II. The number of hours waded to produce am: mix is given in the chart beiow. Machine I is available for at most 1140 hours per month and Machine I! is available for at most 1200 hours per womb. The profit made on product A is $15Iunit am: the profit made as: precinct B is “Wank. Find the production level that will maximize profit and find the maximum profit. leymfaMamdmwtheobjecdvefiImfimmmmmmm Dom:th (9 [30%) u m.- 1 £5- ' Unlmownswe precise): Constraints: 1* 4’ 4’ é 0 x: 53mm “C PIJM‘? A puck:th 3x *4 i j 00 y: wanker a; Praduc" 530/0chch x 2;} y EU Objective Funcfiom m ...
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This note was uploaded on 03/26/2012 for the course MATH 201 taught by Professor Smith during the Spring '08 term at Washington State University .

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(sample) Exam #3 (with solutions) - “walk-T3813 Section:...

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