Solve the linear program using
the simplex algorithm method
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Solve the linear program using
the simplex algorithm method
maximize Z = 5x1 + x2 +...
+ Use the simplex method to solve the linear Maximize z = xy + 2x2 +...
+ Use the simplex method to solve the linear Maximize z = xy + 2x2 + x3 +8X4 programming problem. subject to: xy + 2x2 + x3 + x4 = 48 4x4 + X2 + 2X2 + x4 S 105 with Xy 20, X220, X3 20, X4 20. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. X2 = A. The maximum is when X1 = (Simplify your answers.) , X3 =,...
Excel Use Simplex method and Exel To solve the following LPPs. Maximize Maximize P-3x + x2...
Excel
Use Simplex method and Exel To solve the following LPPs. Maximize Maximize P-3x + x2 subject to the constraints x1 + x2 = 2 2x) + 3x2 s 12 3x + = 12 x 20 x220 P = 5x1 + 7x2 subject to the constraints 2xy + 3x2 = 12 3x + x2 = 12 x 20 *2 2 0 Maximize Maximize P = 2x2 + 4x2 + x3 subject to the constraints -*1 + 2x2 + 3x3 5...
Problem 5: a) (2 Points) Using the two-phase simplex procedure solve Minimize 3X1 + X2 +...
Problem 5: a) (2 Points) Using the two-phase simplex procedure solve Minimize 3X1 + X2 + 3X3-X4 Subject to 1 2.x2 - ^3 r4 0 2x1-2x2 + 3x3 + 3x4 9 T1, x2, x3, x4 2 0. b) (2 Points) Using the two-phase simplex procedure solve Minimize Subject to x1+6x2-7x3+x4+5x5 5x1-4x2 + 132:3-2X4 + X5-20 X5 〉 0.
Find solution using Simplex method (BigM method) MAX Z = 5x1 + 3x2 + 2x3 +...
Find solution using Simplex method (BigM method) MAX Z = 5x1 + 3x2 + 2x3 + 4x4 subject to 5x1 + x2 + x3 + 8x4 = 10 2x1 + 4x2 + 3x3 + 2x4 = 10 X j > 0, j=1,2,3,4 a) make the necessary row reductions to have the tableau ready for iteration 0. On this tableau identify the corresponding initial (artificial) basic feasible solution. b) Following the result obtained in (a) solve by the Simplex method, using...
+ Use the simplex method to solve the linear programming problem. Maximize z= 2X2 + 3x2...
+ Use the simplex method to solve the linear programming problem. Maximize z= 2X2 + 3x2 subject to: 5x1 + x2 = 70 3x4 + 2x2 5 90 X1 + X2 580 X1, X220. with Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The maximum is when X1 = and X2 (Simplify your answers.) OB. There is no maximum.
Use the simplex method to solve the linear programming problem. Maximize subject to z=900x4 + 800x2...
Use the simplex method to solve the linear programming problem. Maximize subject to z=900x4 + 800x2 + 400x3 X1 + x2 + x3 = 110 2X1 + 3x2 + 4x3 = 340 2xy + x2 + x3 180 X1 20, X220, X3 20. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum is when x1 = ,x2 = , x3 = ,s2 = ,s2 =), and s3 =...
2a. Consider the following problem. Maximize 17-Gri +80 Subject to 5x1 + 2x2 320 i 212 10 and Construct the dual problem for the above primal problem solve both the primal problem and the dual...
2a. Consider the following problem. Maximize 17-Gri +80 Subject to 5x1 + 2x2 320 i 212 10 and Construct the dual problem for the above primal problem solve both the primal problem and the dual problem graphically. Identify the corner- point feasible (CPF) solutions and comer-point infeasible solutions for both problems. Calculate the objective function values for all these values. Identify the optimal solution for Z. I 피 University 2b. For each of the following linear programming models write down...
Consider the following linear program: Maximize Z-3xI+2x2-X3 Subject to:X1+X2+2 X3s 10 2x1-X2+X3 s20 3 X1+X2s15 X1, X2,...
Consider the following linear program: Maximize Z-3xI+2x2-X3 Subject to:X1+X2+2 X3s 10 2x1-X2+X3 s20 3 X1+X2s15 X1, X2, X320 (a) Convert the above constraints to equalities. (2 marks) (b) Set up the initial simplex tableau and solve. (9 marks)
Consider the following linear program: Maximize Z-3xI+2x2-X3 Subject to:X1+X2+2 X3s 10 2x1-X2+X3 s20 3 X1+X2s15 X1, X2, X320 (a) Convert the above constraints to equalities. (2 marks) (b) Set up the initial simplex tableau and solve. (9 marks)
(10 pts) Using the simplex method, solve the linear programming problem: Maximize z = 30x1 +...
(10 pts) Using the simplex method, solve the linear programming problem: Maximize z = 30x1 + 5x2 + 4x3, subject to 5x + 3x2 < 40 3x2 + x3 = 25 X1 2 0,X2 2 0,X320
samplex Problem1: Solve the following problem using simplex method: Max. z = 2 x1 + x2...
samplex
Problem1: Solve the following problem using simplex method: Max. z = 2 x1 + x2 – 3x3 + 5x4 S.t. X; + 7x2 + 3x3 + 7x, 46 (1) 3x1 - x2 + x3 + 2x, 38 .(2) 2xy + 3x2 - x3 + x4 S 10 (3) E. Non-neg. x > 0, x2 > 0, X3 > 0,44 20 Problem2: Solve the following problem using big M method: Max. Z = 2x1 + x2 + 3x3 s.t. *+...
+ Use the simplex method to solve the linear Maximize z = xy + 2x2 + x3 +8X4 programming problem. subject to: xy + 2x2 + x3 + x4 = 48 4x4 + X2 + 2X2 + x4 S 105 with Xy 20, X220, X3 20, X4 20. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. X2 = A. The maximum is when X1 = (Simplify your answers.) , X3 =,...
Excel
Use Simplex method and Exel To solve the following LPPs. Maximize Maximize P-3x + x2 subject to the constraints x1 + x2 = 2 2x) + 3x2 s 12 3x + = 12 x 20 x220 P = 5x1 + 7x2 subject to the constraints 2xy + 3x2 = 12 3x + x2 = 12 x 20 *2 2 0 Maximize Maximize P = 2x2 + 4x2 + x3 subject to the constraints -*1 + 2x2 + 3x3 5...
Problem 5: a) (2 Points) Using the two-phase simplex procedure solve Minimize 3X1 + X2 + 3X3-X4 Subject to 1 2.x2 - ^3 r4 0 2x1-2x2 + 3x3 + 3x4 9 T1, x2, x3, x4 2 0. b) (2 Points) Using the two-phase simplex procedure solve Minimize Subject to x1+6x2-7x3+x4+5x5 5x1-4x2 + 132:3-2X4 + X5-20 X5 〉 0.
+ Use the simplex method to solve the linear programming problem. Maximize z= 2X2 + 3x2 subject to: 5x1 + x2 = 70 3x4 + 2x2 5 90 X1 + X2 580 X1, X220. with Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The maximum is when X1 = and X2 (Simplify your answers.) OB. There is no maximum.
Use the simplex method to solve the linear programming problem. Maximize subject to z=900x4 + 800x2 + 400x3 X1 + x2 + x3 = 110 2X1 + 3x2 + 4x3 = 340 2xy + x2 + x3 180 X1 20, X220, X3 20. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum is when x1 = ,x2 = , x3 = ,s2 = ,s2 =), and s3 =...
2a. Consider the following problem. Maximize 17-Gri +80 Subject to 5x1 + 2x2 320 i 212 10 and Construct the dual problem for the above primal problem solve both the primal problem and the dual problem graphically. Identify the corner- point feasible (CPF) solutions and comer-point infeasible solutions for both problems. Calculate the objective function values for all these values. Identify the optimal solution for Z. I 피 University 2b. For each of the following linear programming models write down...
Consider the following linear program: Maximize Z-3xI+2x2-X3 Subject to:X1+X2+2 X3s 10 2x1-X2+X3 s20 3 X1+X2s15 X1, X2, X320 (a) Convert the above constraints to equalities. (2 marks) (b) Set up the initial simplex tableau and solve. (9 marks)
Consider the following linear program: Maximize Z-3xI+2x2-X3 Subject to:X1+X2+2 X3s 10 2x1-X2+X3 s20 3 X1+X2s15 X1, X2, X320 (a) Convert the above constraints to equalities. (2 marks) (b) Set up the initial simplex tableau and solve. (9 marks)
(10 pts) Using the simplex method, solve the linear programming problem: Maximize z = 30x1 + 5x2 + 4x3, subject to 5x + 3x2 < 40 3x2 + x3 = 25 X1 2 0,X2 2 0,X320
samplex
Problem1: Solve the following problem using simplex method: Max. z = 2 x1 + x2 – 3x3 + 5x4 S.t. X; + 7x2 + 3x3 + 7x, 46 (1) 3x1 - x2 + x3 + 2x, 38 .(2) 2xy + 3x2 - x3 + x4 S 10 (3) E. Non-neg. x > 0, x2 > 0, X3 > 0,44 20 Problem2: Solve the following problem using big M method: Max. Z = 2x1 + x2 + 3x3 s.t. *+...
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