Math Project

HomLos Solbtns OMinite Sx, x,4 3x,' X

sbjct x, X x, 3x,*J -x,

X1, Ka,k ,X, 20

aut as vectorS

()* x, (*)* x,(8): (8) rph

Sinu veuis varcbus nvs fers a ovnd h solutin ttr

on o bsie vuie bk to-hncdis

Cd

BFS x, X besit: x,(o) x,(:) =(i) o, o)

(8)-(3)

Sinw al A coeffens in obj fu ca pesiw

adX,,,h,y0 5x, tdx 3 xX, XO

ForFs (0,6,,0) 13 tu FS (o,0,1:

Us spuk mthod do soluu XX X, MIAMI Ze

$ t+u

3X,' 3XY,3 so

Xy 3 2

O-2

O

X 3 2 O

OO So o is - Atsnud et h po int

(2 9, 0 0 o)

3) Mirimit 4x 6, 2

x6-x XS4Xu

: 0 So Ut plu X,

X,X 5 -S X

Piv at 2x

Mu X:3 X+3 ini obj. fta: x +3x,-I8x2

Th SvaustS ths J0 y, ke hesi's. ut huta

boVAd

Th sal of Susbu solutiuns is

C wbit/wil (osiient fron o in 4h objitin fa i

A,X.

x, 0 in BFS h b, 0. To extreet x,

busis, Mplu it uith su X hn mS n

Proting at a X in eq 1. e :) hAhet at

b,0s o S anS dinr )

Mini x+ 4x,- 4x, + X tXy

ISo 3xSx x x s loo

X1,X X,0

50 xd X X Xs 3x,+5x XX x4x, 2x+x4, 4X

150 X00

Tby h

O 5 S0 3 5

firet O

O O 50 O iSo

-

X basis p ivut

X-15 34-4 0

O

OGo So ISO X 00

x-S 0 0 0 14 0 00

pot (0,0,5 o)

Maxinit X, i Jxj X, Y,4x, 36

Sx- x, x, s 60

Cmunical Fosm

36 x X,X Sx,-4x dx, 3x2x X

X X+ X

60

Talyu av

X X Y 3

X

O XS 0

-2 X 36 s 5 8

X 46

X

94 32

Xs O

O 1

So CmGxiv vce is 3 o4, pot (32,6,0o)

- Sx, x,t X Xu

X X X x x

O X

,O O 14

-IY S O3 So

s 02 35 ,O

AN Cosf:cint a ti of le So 4 AN Soluin is unbovnded