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Question 1 Convert the constraints into linear equations by using slack variables. Maximize z =...
Question 12 Convert the constraints into linear equations by using slack variables. Maximize z = X1...
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 +...
Introduce slack variables as necessary and write the initial simplex tableau for the problem. Maximize z...
Introduce slack variables as necessary and write the initial simplex tableau for the problem. Maximize z = 4X1 + X2 subject to: 2X2 + 5x2 10 3X1 + 3x2 33 X120,X220 H N 47 X1 X2 S1 S2 1 0 0 1 0 10] بي بي حظ الا لما هب OO 3 1 X1 2 3 -4 X2 S1 S2 Z 5 1 0 10 3 0 1 -1 0 0 OON 1 X1 2 X2 S1 5 0 3...
Question 9 Find the value(s) of the function on the given feasible region. Find the maximum...
Question 9 Find the value(s) of the function on the given feasible region. Find the maximum and minimum of z = 8x + 8y. K0,5) (5/2,5) (0,4) (6,0) (10,0) 56,32 80,32 -32,-56 48,40 Question 11 Write the expression as a sum and/or a difference of logarithms with all variables to the first degree. In V10192 In 10+ 3 Int+2 in v 01/ in In 90t + 2 in v Jin In 10+ 3 Int + In v In 10 +...
Introduce slack variables as necessary and then write the initial simplex tableau for the Maximize z...
Introduce slack variables as necessary and then write the initial simplex tableau for the Maximize z = xy + 9x2 given linear programming problem. subject to X1 + 2x2 = 12 8x1 + x2 = 11 5x7 + 2x2 57 with Xq 20, X220 Complete the initial simplex tableau. X1 S1 S2 z X2 2 S3 0 1 1 ol 00 0 0 0 11 O 2 0 7 0 0 0 1 0
same question just A through D steps (A) Introduce slack, surplus, and artificial variables and form...
same question just A through D steps
(A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau. () Find the optimal solution of the modified problem by applying the simplex method to the initial simplex tableau. (D) Find the optimal solution of the original problem, it it exists. Maximize P-3xı + 5x2 subject to 2x1 + x2 58 X1 + X2 =...
Problem #5 -- Consider the following linear programming problem: Maximize Z = 2x1 + 4x2 +...
Problem #5 -- Consider the following linear programming problem: Maximize Z = 2x1 + 4x2 + 3x3 subject to: X1 + 3x2 + 2x3 S 30 best to X1 + x2 + x3 S 24 3x1 + 5x2 + 3x3 5 60 and X120, X220, X3 2 0. You are given the information that x > 0, X2 = 0, and x3 >O in the optimal solution. Using the given information and the theory of the simplex method, analyze the...
Introduce slack variables as necessary and then write the initial simplex tableau for the given linear...
Introduce slack variables as necessary and then write the initial simplex tableau for the given linear programming problem. Complete the initial simplex tableau. 1 1 X, X2 X3 s, 3 8 5 0 2 2 0 0 ONN S2 S3 0 0 0 0 0 0 NOOO 1 12 9 9 1 0 Z= X1 +8X2 +3X3 Maximize subject to X1 8X4 +2x2 +X2 +3x3 12 + 5x3 39 + 2x3 = 9 20, X3 20. 2x X1 20, X2
11) Maximize z» x 1 + 2x2 subject to: x1+ x2 s20 3x1+ 2x2 40 2x13x2 60 x1z0 x20 Use th perfor x1 ...
Question 1,2,3,4
11) Maximize z» x 1 + 2x2 subject to: x1+ x2 s20 3x1+ 2x2 40 2x13x2 60 x1z0 x20 Use th perfor x1 A) Find the pivot in the tableau. 1 x2 x3 x4 x5 2 3 1 4 02 0 9 6 0 2 1 5 0 3 B) Find the plvot in the tableau. C) 1 2 3 10 0 ol 4 1 4 4 0 1 0 0 12 1 2 2 oo1 06 1...
4.6-1.* Consider the following problem. Maximize Z= 2x1 + 3x2, subject to x1 + 2x2 54...
4.6-1.* Consider the following problem. Maximize Z= 2x1 + 3x2, subject to x1 + 2x2 54 x1 + x2 = 3 and X120, X2 0. DI (a) Solve this problem graphically. (b) Using the Big M method, construct the complete first simplex tableau for the simplex method and identify the corresponding initial (artificial) BF solution. Also identify the initial entering basic variable and the leaving basic variable. I (c) Continue from part (b) to work through the simplex method step...
Solve the linear program using the simplex algorithm method maximize Z = 5x1 + x2 +...
Solve the linear program using
the simplex algorithm method
maximize Z = 5x1 + x2 + 3x3 + 4x4 subject to: x1 – 2 x2 + 4 x3 + 3x4 s 20 –4x1 + 6 x2 + 5 X3 – 4x4 = 40 2x1 – 3 x2 + 3 x3 + 8x4 5 50 X1, X2, X3 , X4 20
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 +...
Introduce slack variables as necessary and write the initial simplex tableau for the problem. Maximize z = 4X1 + X2 subject to: 2X2 + 5x2 10 3X1 + 3x2 33 X120,X220 H N 47 X1 X2 S1 S2 1 0 0 1 0 10] بي بي حظ الا لما هب OO 3 1 X1 2 3 -4 X2 S1 S2 Z 5 1 0 10 3 0 1 -1 0 0 OON 1 X1 2 X2 S1 5 0 3...
Question 9 Find the value(s) of the function on the given feasible region. Find the maximum and minimum of z = 8x + 8y. K0,5) (5/2,5) (0,4) (6,0) (10,0) 56,32 80,32 -32,-56 48,40 Question 11 Write the expression as a sum and/or a difference of logarithms with all variables to the first degree. In V10192 In 10+ 3 Int+2 in v 01/ in In 90t + 2 in v Jin In 10+ 3 Int + In v In 10 +...
Introduce slack variables as necessary and then write the initial simplex tableau for the Maximize z = xy + 9x2 given linear programming problem. subject to X1 + 2x2 = 12 8x1 + x2 = 11 5x7 + 2x2 57 with Xq 20, X220 Complete the initial simplex tableau. X1 S1 S2 z X2 2 S3 0 1 1 ol 00 0 0 0 11 O 2 0 7 0 0 0 1 0
same question just A through D steps
(A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau. () Find the optimal solution of the modified problem by applying the simplex method to the initial simplex tableau. (D) Find the optimal solution of the original problem, it it exists. Maximize P-3xı + 5x2 subject to 2x1 + x2 58 X1 + X2 =...
Problem #5 -- Consider the following linear programming problem: Maximize Z = 2x1 + 4x2 + 3x3 subject to: X1 + 3x2 + 2x3 S 30 best to X1 + x2 + x3 S 24 3x1 + 5x2 + 3x3 5 60 and X120, X220, X3 2 0. You are given the information that x > 0, X2 = 0, and x3 >O in the optimal solution. Using the given information and the theory of the simplex method, analyze the...
Introduce slack variables as necessary and then write the initial simplex tableau for the given linear programming problem. Complete the initial simplex tableau. 1 1 X, X2 X3 s, 3 8 5 0 2 2 0 0 ONN S2 S3 0 0 0 0 0 0 NOOO 1 12 9 9 1 0 Z= X1 +8X2 +3X3 Maximize subject to X1 8X4 +2x2 +X2 +3x3 12 + 5x3 39 + 2x3 = 9 20, X3 20. 2x X1 20, X2
Question 1,2,3,4
11) Maximize z» x 1 + 2x2 subject to: x1+ x2 s20 3x1+ 2x2 40 2x13x2 60 x1z0 x20 Use th perfor x1 A) Find the pivot in the tableau. 1 x2 x3 x4 x5 2 3 1 4 02 0 9 6 0 2 1 5 0 3 B) Find the plvot in the tableau. C) 1 2 3 10 0 ol 4 1 4 4 0 1 0 0 12 1 2 2 oo1 06 1...
4.6-1.* Consider the following problem. Maximize Z= 2x1 + 3x2, subject to x1 + 2x2 54 x1 + x2 = 3 and X120, X2 0. DI (a) Solve this problem graphically. (b) Using the Big M method, construct the complete first simplex tableau for the simplex method and identify the corresponding initial (artificial) BF solution. Also identify the initial entering basic variable and the leaving basic variable. I (c) Continue from part (b) to work through the simplex method step...
Solve the linear program using
the simplex algorithm method
maximize Z = 5x1 + x2 + 3x3 + 4x4 subject to: x1 – 2 x2 + 4 x3 + 3x4 s 20 –4x1 + 6 x2 + 5 X3 – 4x4 = 40 2x1 – 3 x2 + 3 x3 + 8x4 5 50 X1, X2, X3 , X4 20
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