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2. Find the solution set of the linear program > 0 (a) by the two-phase method....
Consider the linear program: 1, 2,3, 4,25 2 0 Perform a Phase-I calculation to determine an initi...
Consider the linear program: 1, 2,3, 4,25 2 0 Perform a Phase-I calculation to determine an initial basic feasible solution. Write down the initial simplex tableau for the Phase-I problem and the resulting initial simplex tableau for the Phase II problem. The initial simplex tableau must have the objective function expressed in terms of the nonbasic variables. You may use software to solve the Phase-I problem.
Consider the linear program: 1, 2,3, 4,25 2 0 Perform a Phase-I calculation to...
Solve the linear programming problem using the simplex method.
Solve the linear programming problem using the simplex method. Use the simplex method to solve the problem. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. b. Find the solution to the original problem by applying the simplex method to the dual problem. Select the correct choice below and fill in any answer boxes within your choice.
SOLVE STEP BY STEP! 4. Consider the following LP: Minimize z = x; +3x2 - X3...
SOLVE STEP BY STEP!
4. Consider the following LP: Minimize z = x; +3x2 - X3 Subject to x + x2 + x2 > 3 -x + 2xz > 2 -x + 3x2 + x3 34 X1 X2,43 20 (a) Using the two-phase method, find the optimal solution to the primal problem above. (b) Write directly the dual of the primal problem, without using the method of transformation. (c) Determine the optimal values of the dual variables from the optimal...
Consider the following linear program min -10.01 - 3.02 x1 + x2 + x3 = 4...
Consider the following linear program min -10.01 - 3.02 x1 + x2 + x3 = 4 5x 1 + 2x2 + x4 = 11 Z2 + 5 = 4 21,22,23,24,25 > 0 (a) Starting from the basis B = {2,3,4}, solve the linear program using the simplex method. (b) Removing the slack variables, we have the equivalent formulation. min -10:31 - 322 21 +224 5.11 + 2.22 <11 1 x2 < 4 21,220 Plot the feasible region and mark the...
2. Solve the LPP by the dual simplex method Minimize: z = 3x1 + 2x2 Subject...
2. Solve the LPP by the dual simplex method Minimize: z = 3x1 + 2x2 Subject to:: x1 + x2 > 1 4x1 + x2 > 2 -X1 + 2x2 < 6 Xi > 0, i=1,2
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...
(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
Solve the linear programming problem by simplex method. . Minimize C= -x - 2y + z....
Solve the linear programming problem by simplex method. . Minimize C= -x - 2y + z. subject to 2x + y +2 < 14 4x + 2y + 3z < 28 2x + 5y + 5z < 30 x = 0, y>02 > 0
3. Use the two-phase simplex method to solve the following LP. Min z = x1 +...
3. Use the two-phase simplex method to solve the following LP. Min z = x1 + 2x2 Subject to 3x1 + 4x2 < 12 2x1 - x2 2 2 X1, X2 20
28.If a linear program is in standard maximum form, which of the following can be a...
28.If a linear program is in standard maximum form, which of the following can be a constraint? 3x+5ys-5 x+y-4 7x+12y 2 0 2x-4ys9 4x-8y 2 1 ONone of the above. 29.A certain number of steps of the simplex method results in the following simplex tableau. 0 3 20 0 1 0 0 0 2 7 0 1 0 13 4 0 0 5 8 0 0 20 0 0 1 2 3 0 1 93 What is the next step...
Consider the linear program: 1, 2,3, 4,25 2 0 Perform a Phase-I calculation to determine an initial basic feasible solution. Write down the initial simplex tableau for the Phase-I problem and the resulting initial simplex tableau for the Phase II problem. The initial simplex tableau must have the objective function expressed in terms of the nonbasic variables. You may use software to solve the Phase-I problem.
Consider the linear program: 1, 2,3, 4,25 2 0 Perform a Phase-I calculation to...
SOLVE STEP BY STEP!
4. Consider the following LP: Minimize z = x; +3x2 - X3 Subject to x + x2 + x2 > 3 -x + 2xz > 2 -x + 3x2 + x3 34 X1 X2,43 20 (a) Using the two-phase method, find the optimal solution to the primal problem above. (b) Write directly the dual of the primal problem, without using the method of transformation. (c) Determine the optimal values of the dual variables from the optimal...
Consider the following linear program min -10.01 - 3.02 x1 + x2 + x3 = 4 5x 1 + 2x2 + x4 = 11 Z2 + 5 = 4 21,22,23,24,25 > 0 (a) Starting from the basis B = {2,3,4}, solve the linear program using the simplex method. (b) Removing the slack variables, we have the equivalent formulation. min -10:31 - 322 21 +224 5.11 + 2.22 <11 1 x2 < 4 21,220 Plot the feasible region and mark the...
2. Solve the LPP by the dual simplex method Minimize: z = 3x1 + 2x2 Subject to:: x1 + x2 > 1 4x1 + x2 > 2 -X1 + 2x2 < 6 Xi > 0, i=1,2
(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
Solve the linear programming problem by simplex method. . Minimize C= -x - 2y + z. subject to 2x + y +2 < 14 4x + 2y + 3z < 28 2x + 5y + 5z < 30 x = 0, y>02 > 0
3. Use the two-phase simplex method to solve the following LP. Min z = x1 + 2x2 Subject to 3x1 + 4x2 < 12 2x1 - x2 2 2 X1, X2 20
28.If a linear program is in standard maximum form, which of the following can be a constraint? 3x+5ys-5 x+y-4 7x+12y 2 0 2x-4ys9 4x-8y 2 1 ONone of the above. 29.A certain number of steps of the simplex method results in the following simplex tableau. 0 3 20 0 1 0 0 0 2 7 0 1 0 13 4 0 0 5 8 0 0 20 0 0 1 2 3 0 1 93 What is the next step...
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