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1. Solve the following problem with the initial weight λ| associated with the extreme point X1 (1...
Solve the following problem with the initial weight λ1 associated with the extreme point X- (1 1 1)' and the artificial variable y associated with the coupling constraint. min -4x1x2 6x3 s.t. 3x1 2x2 + 4x3 17 Solve the following problem with the initial weight λ1 associated with the extreme point X- (1 1 1)' and the artificial variable y associated with the coupling constraint. min -4x1x2 6x3 s.t. 3x1 2x2 + 4x3 17
Question 3: Identify which of LP problems (1)--(4) has (x1,x2) = (20,60) as its optimal solution. (1) min z = 50xı + 100X2 s.t. 7x1 + 2x2 > 28 2x1 + 12x2 > 24 X1, X2 > 0 (2) max z = 3x1 + 2x2 s.t. 2x1 + x2 < 100 X1 + x2 < 80 X1 <40 X1, X2 > 0 (3) min z = 3x1 + 5x2 s.t. 3x1 + 2x2 > 36 3x1 + 5x2 > 45...
QUESTION) Solve the DP given below using the revised simplex method. Min Z = X1 + 2x2 + 4x3 Öyle ki; 2x1 – 2x2 + x3 = 0 -2x1 + 4x2 + x3 = 8 4x1 + 3x2 – 2x3 = 17 X1, X2, X3 20
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. *+...
1. [-/1 Points] DETAILS CHENEYLINALG2 1.1.001. MY Solve this system of equations and verify your answer. (If the system is inconsistent, enter INCONSISTENT.) 2x2 – 3x3 = -10 4x1 + x2 + 3x3 47 5x3 = 40 (x1, x2, x3) 2. [-/1 Points] DETAILS CHENEYLINALG2 1.1.002. MY Solve this system of equations and verify your answer. (If the system is inconsistent, enter INCONSISTENT.) 3x1 = 2x1 6 5x2 + 6x3 = -35 + 5x3 = -28 - 4X1 (x1, x2,...
Please answer this MATLAB questions when able. Thanks. 4. Laboratory Problem Description In this laboratory you are required to Find the solution of the following systems of linear equation: 1) xl + x2 + x3 3 4x1 - x2 x3-2 x1 2x2 x3-2 2) 2 -1 3 A 1 3 -2. B-2 Given the following system 4x1+3x2+7x3- 3 3x1+2x2+1x3 1 2x1+3x2+4x3- 2 Using MATLAB commands solve the following system using Gaussian elimination with partial pivoting. Find P, L, and U...
Problem needs to be done Excel. 1. Solve the following LP problem. Max Z = 3X1 + 5X2 S.T. 4X1 + 3X2 >= 24 2X1 + 3X2 <= 18 X1, X2 >= 0 a) Solve the Problem b) Identify the reduced costs and interpret each. c) Calculate the range of optimality for each objective coefficient. d) Identify the slacks for the resources and calculate the shadow price for each resource.
1. For the following LPs, construct the Simplex tableau corresponding to the given extreme point You must show your work (i.e., calculating the entries of the tableau) to receive credit. Maximi s.t. = 5x1+3x2+ x3 x1, x2, x3 Maximize z =-3a + 2x2- x3 + x4 x' = (zl,X2 , X3, X4)= (0, 5, 0.3) 1. For the following LPs, construct the Simplex tableau corresponding to the given extreme point You must show your work (i.e., calculating the entries of...
3.3-Complete Solution to Linear Systems: Problem 2 Previous Problem Problem List Next Problem (1 point) Solve the system { x1 | 4x1 +x2 +4x3 = +502 –2x3 = -9 6 23
Consider the following LP problem: Minimize Cost = 3x1 + 2x2 s.t. 1x1 + 2x2 ≤ 12 2x1 + 3 x2 = 12 2 x1 + x2 ≥ 8 x1≥ 0, x2 ≥ 0 A) What is the optimal solution of this LP? Give an explanation. (4,0) (2,3) (0,8) (0,4) (0,6) (3,2) (12,0) B)Which of the following statements are correct for a linear programming which is feasible and not unbounded? 1)All of the above. 2)Only extreme points may be optimal....