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AP Question 5: Solve using simplex Partl: 5 points Max z-20x, + 19X2 + 18지 + 17X4 + 16X5+15x6+14x7+13xs+ 120+1 1x10 Subject to where i-1,2,,10 ITERATION 0: OBJ S1 ITERATION 1: OBJ ITERATION 2: O...
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. *+...
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.
please answer all the question and explain clearly! THANKS! Exercise 6 Consider the LP problem subject to 1 1/2 T2 S1 2 2. 1, 0. After applying the Simplex method, the last simplex tableau is the follow- ng: z x1 x2 81 82 83|RHS -1 0 0 0 0 1-2 1 0 1 0 1 01/2 82 0 2 10 r20 0 1 201 Explain if the problem has one solution, infinitely many, or none. If it has infinitely many...
1. Solving the linear programming problem Maximize z 3r1 2r2 3, subject to the constraints using the simplex algorithm gave the final tableau T4 T5 #210 1-1/4 3/8-1/812 0 0 23/4 3/8 7/8 10 (a) (3 points) Add the constraint -221 to the final tableau and use the dual simplex algorithm to find a new optimal solution. (b) (3 points) After adding the constraint of Part (a), what happens to the optimal solution if we add the fourth constraint 2+...
please Question 1 Convert the constraints into linear equations by using slack variables. Maximize z = 2X1 +8X2 Subject to:X1 + 6x2 s 15 2x1 + 9x2 s 25 X120,X220 X1 + 6x2 +51 s 15 2X1 + 9x2525 25 x1 +6X2+S1 = 15 2X1 +9x2 +52 = 25 O X1 +6X2 + 512 15 2X1 + 9x2 +522 25 X1 +6x2 = S1 +15 2x1 + 9x2 = S2 + 25 Question 2 Introduce slack variables as necessary and...
please respond asap 5 Question 6 [10 points] Solve for z, and give your answer in the form a+bi. 2z-3-2i=z-5+5i z=0 Question 7 [10 points]
3. (2 points) The tableau r421 21 02 5 3 2 10 1 6 4 2 1 0 0 0 represents a solution to the linear programming problem Minimize z 41 22 + r3, subject to the constraints 31 +2a2+r3 6, that satisfies the optimality criterion but is infeasible. Use the dual simplex method to restore feasiblity and hence find an optimal solution.
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...
How do i solve this? Let f(z) = +1 3 Where does f have critical points?. Choose all answers that apply: @ r=-1 © r=0 © 2=3 0 f has no critical points.
Tutorial 6-Linear Systems EXERCISE .26. Solve the system x 3x1 +3x2, 32 2x1 + 4x2 subject to x1 (0) -, 2()5 by (1) diagonalisation of A (express the system as i - Ax), (2) using existence and uniqueness theorem and (3) calculating et in two ways. Tutorial 6-Linear Systems EXERCISE .26. Solve the system x 3x1 +3x2, 32 2x1 + 4x2 subject to x1 (0) -, 2()5 by (1) diagonalisation of A (express the system as i - Ax), (2)...