Solve the system X1 + 2x2 – 3x3 = 5 2x1 + x2 – 3x3 = 13 - X1 + x2 = -8 [1 X=t1 tec 1 a. b. SEC Oc. 1 - -- 1. Jeee -2 -0. x=t0 O d. -1 , SEC e. SEC o f. X=S 2 3 ], sec -5
Solve the system X1 + 2x2 - 3x3 = 5 2x1 + x2 – 3x3 = = 13 - X1 + X2 = -8 O a. x= 1, SEC 0 Ob. tec x=1 1 Ос. 2 x= 3, SEC -5 0 d. 1 x=0 -1 gree -1 SEC x=s -1 0 Of. 1 X=S 0 -1 SEC 0
Solve the system X1 + 2x2 – 3x3 = 5 2x1 + x2 – 3x3 = 13 - X1 + X2 = -8 1 x= 1), sec 0 a. b. N x=s3 sec -5 0 X=S SEC -1 O O d. X=t 1 1 1 tec Oe. x= -1, sec 0
3. Consider the following LP. Maximize u = 4x1 + 2x2 subject to X1 + 2x2 < 12, 2x1 + x2 = 12, X1, X2 > 0. (a) Use simplex tableaux to find all maximal solutions. (b) Draw the feasible region and describe the set of all maximal solutions geometrically.
Find all solutions to the system using the Gauss-Jordan elimination algorithm. X1 + 2x2 + 2x3 = 12 4x3 24 442 + 12x3 = 24 + 4x2 + 8x1 4x1 + Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The system has a unique solution. The solution is x1 = X2 = X3 = X2 = X3 = S. - <s<00. OB. The system has an infinite number of...
Prove that each of the following sets is convex (a) {(x1, 22, x3) E R3 | 0 < 띠, x2, 23 and x1 + 2x2 + 3x3 6)
Solve the system a. b. c. d. e. f. Solve the system X1 + 2x2 – 3x3 = 5 2x1 + x2 – 3x3 = 13 - X1 + X2 -8 2 X=S 3 SEC -5 a. b. 1 x=t0], tec x=s -1 SEC d. 1 x= t 1 tec 1 e. O 1 0 X=S SEC -1 0 o f. 1 SEC x=s 1 0
Solve the given system of equations using either Gaussian or Gauss-Jordan elimination x1 + 2x2-3x3 = 19 2x1 -X2+ X3 - 4X1- x2 + x3= 8
Solve the system. X1 - 3x3 = 13 4x7 + 4x2 + x3 = 29 2x2 + 4x3 = -4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. ). O A. The unique solution of the system is ( (Type integers or simplified fractions.) O B. The system has infinitely many solutions. O C. The system has no solution.
Problem 1 (20 pts) Consider the mathematical program max 3x1+x2 +3x3 s.t. 2x1 +x2 + x3 +x2 x1 + 2x2 + 3x3 +2xs 5 2x 2x2 +x3 +3x6-6 Xy X2, X3, X4, Xs, X620 Three feasible solutions ((a) through (c)) are listed below. (0.3, 0.1, 0.4, 0.9, 1.65, 1.6) (c) x Please choose one appropriate interior point from the list, and use the Karmarkar's Method at the interior point and determine the optimal solution. 25 Problem 1 (20 pts) Consider...