INVESTIGACIN OPERATIVA I DR. MARLON VILLA

3INVESTIGACIN OPERATIVA I

UNIVERSIDAD NACIONAL DE CHIMBORAZOFACULTAD DE CIENCIAS POLTICAS Y ADMINISTRATIVASCARRERA DE CONTABILIDAD Y AUDITORA CPA

INVESTIGACIN OPERATIVA IDr. Marln VillaDeber N 7Nombre: Diana CuricamaCurso: 5to SemestreParalelo: AFecha: 27 de Mayo del 2015MTODO DE GAUSS-JORDNEJERCICIO 1-4 -6 -8 -24 4 -3 -2 +15-3 -9/2 -6 -183 -2 +5 +142x+3y+4z=123x-2y+5z=144x-3y-2z=15

1 + 3/2 + 2= 60 13/2 - 1= -44x-3y-2z = 15

0 -3/2 -3/13 -12/131 +3/2 +2 +6

INVESTIGACIN OPERATIVA I DR. MARLON VILLA

1

1 + 0 + 23/13 = 66/130 + 1 + 2/13 = 8/130 + 0 112/13 =-45/13

0 +9 +18/13 +72/13 0 -9 -10 -9

1 + 0 + 0 = 489/1120 1 + 0 = 31/560 0 1 = 45/112

X= 489/112COMPROBACIN2x+3y+4z=122(489/12)+3(31/56)+4(45/112) =12

Y= 31/56Z= 45/112

EJERCICIO 20 -7/2 +49/12 -35/31 +7/2 -17/4 +16-3 +3/2 -9/4 6 3 2 -2 +10-2 -1 -3/2 4-2 4 -5 64x-2y+3z= 8-2x+4y-5z= 63x+2y-2z=10

1 - 1/2 + 3/4 = 20 3 - 7/2 = 100 7/2 -17/4= 16

1 + 0 + = 20 + 1 7/6 = 10/30 + 0 1/6 =13/3

X= 8Y= -27Z= -26

1 + 0 + 0 = 80 1 + 0 = -270 0 1 = -26

COMPROBACIN4x-2y+3z= 84(8)-2(-27)+3(-26) = 8

EJERCICIO 30 -2/5 +24/425 -6/851 +2/5 +6/5 +12/53 +6/5 +18/5 36/5-3 +4 -2 -10-4 -8/5 -24/5 -12-2 -3 +4 135x+2y+6z= 124x-3y+4z= 13-3x+4y-2z=-10

1 + 2/5 + 6/5 =12/50 17/ 3 - 4/5= 10 + 26/5 + 8/5=-14/5

1 + 0 + 486/425 =42/170 + 1 +12/85 =-3/170 + 0 +368/42 =-32/17

0 -26/5 -312/425 +78/851 +26/5 +8/5 -14/5

1 + 0 + 0 = 114/230 + 1 + 0 = 3/230 + 0 + 1 = -50/23

COMPROBACIN5x+2y+6z= 125(114/23)+2(3/23)+6(-50/23) = 12

X= 114/23Y= 3/23Z= -50/23

EJERCICIO 4x+2y+3z= 114x+1y-1z= 42x-1y+3z=10

-4 -8 - 12 -44 4 +1 -1 4

1 - 2 + 3 = 110 9 -13=-400 + 3 - 3= -120 + 2 - 26/9 -80/91 -2 +3 +11

0 - 3 +13/3 -40/31 +3 - 3 -12

1 + 0 + 1/4 =19/90 + 1 -13/9=-49/90 + 0 + 4/3 =4/3

0 + 0 -1/9 -1/91 +0 +1/9 -19/9

1 + 0 + 0 = 20 + 1 + 0 = -30 + 0 + 1 = 1

COMPROBACINx+2y+3z= 11(2)+2(-3)+3(1) = 11

X= 2Y= -3Z= 1