1 answer

Question 12 Convert the constraints into linear equations by using slack variables. Maximize z = X1...

Question:

Question 12 Convert the constraints into linear equations by using slack variables. Maximize z = X1 + 2x2 + 3x3 Subject to: X
Ο Α U Question 17 Introduce slack variables as necessary and write the initial simplex tableau for the problem. Maximize z =
Question 18 Find the pivot in the tableau. Z HINNA X1 X2 X3 X4 X5 2 1 4 1 0 2 4 1 0 1 -1 -3 -2 0 48 ol 32 o 1 0 4 in row 2, c
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
Ο Α U Question 17 Introduce slack variables as necessary and write the initial simplex tableau for the problem. Maximize z = X1 + 2x2 subject to: X1 + X2 s 20 3x1 + 2x2 s 40 2x1 + 3x2 s 60 X120,X2 > 0 X1 X2 51 52 53 z 1 1 100 0 401 3 2 0 1 0 0 20 2 3 0 0 1 0 60 1 2 0 0 0 1 0 X1 X2 51 52 53 Z 1 1 1 0 0 0 20 3 2010 0 40 2 3 0 0 1 0 60 -1 -2 0 0 0 1 0 X1 X2 52 53 z 1 1 1 0 0 0 40 3 2 0 1 0 0 20 2 3 0 0 1 0 60 -1 -2 0 0 0 1 0 z Es Zs Is Tx Tx Οζ Ο Ο Ο Ι Ι Ι 3 2 0 1 0 0 40 2 3 0 0 1 0 60 2 0 0 0 1 0
Question 18 Find the pivot in the tableau. Z HINNA X1 X2 X3 X4 X5 2 1 4 1 0 2 4 1 0 1 -1 -3 -2 0 48 ol 32 o 1 0 4 in row 2, column 2 4 in row 1, column 3 2 in row 1, column 1 2 in row 2, column 1

Answers

sol convert using ithe constraints unto linear equations by slack variables Manimize z + 2. X, t 33 subject to 6х + 2 + 6x, 4sol convert using ithe constraints unto linear equations by slack variables Manimize z + 2. X, t 33 subject to 6х + 2 + 6x, 4#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 eq

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