Question

Question 12 Convert the constraints into linear equations by using slack variables. Maximize z = X1 + 2x2 + 3x3 Subject to: X1 + 9x2 + 3x3 = 40 6X1 + X2 + 6x3 s 50 X120,X220, X320 O X1 + 9x2 + 3x3 = 51 +40 6x1 + x2 +6x3 = S2 + 50 O X1 +9x2 + 3x3 +51 = 40 6x1 + x2 + 6x3 +S2 = 50 X1 +9x2 + 3x3 +51 = 40 6X1 + X2 + 6x3 + $1 = 50

Answer 1

sol convert using ithe constraints unto linear equations by slack variables Manimize z + 2. X, t 33 subject to 6х + 2 + 6x, 450 x + qха t 3х - чо 7, 0 , ҡао у х, х,о \ => + + xt qa + 3x3 ts чо 6x, t Xat 6x, tsa - 50 ܙ ܩܬ and option is towe

sol convert using ithe constraints unto linear equations by slack variables Manimize z + 2. X, t 33 subject to 6х + 2 + 6x, 450 x + qха t 3х - чо 7, 0 , ҡао у х, х,о \ => + + xt qa + 3x3 ts чо 6x, t Xat 6x, tsa - 50 ܙ ܩܬ and option is towe

#Maximize subject to Z x, taxa x. t 22 s20 3x, Fax. € 40 an, + 3 x 2 60 + x, 20, 2₂7,0 converted 88 The constuaint Mull be equality get n, t xgt si 3x, tax₂ + sa = 40 2x + 3x2 + Sz. 60 uwhere si variable stack o xt تو مد S co o 3 3 0 O 3 2 Noool- 3 O O 40 60 alo Thus, Cotion tone Find the pivot in the table 짜 xz H xy x5 2 % 43 1 48 1/48 32 432 0 - 1 3 2 0 - H in row 2 is the answer 9 columna penal