Find all the basic solutions for the following LP problems using the Gauss– Jordan elimination method....
Find all the basic solutions for the following LP problems using the Gauss– Jordan elimination method. Identify basic feasible solutions and show them on graph paper.
Maximize z = 4x1 + 2x2
subject to −2x1 + x2 ≤ 4
x1
+ 2x2 ≥ 2
x1,
x2 ≥ 0
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Find all the basic solutions for the following LP problems using the Gauss– Jordan elimination method....
Find all solutions to the system using the Gauss-Jordan elimination algorithm. X1 + 2x2 + 2x3...
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...
3. Consider the following LP. Maximize u = 4x1 + 2x2 subject to X1 + 2x2...
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.
Solve the given system of equations using either Gaussian or Gauss-Jordan elimination x1 + 2x2-3x3 =...
Solve the given system of equations using either Gaussian or Gauss-Jordan elimination x1 + 2x2-3x3 = 19 2x1 -X2+ X3 - 4X1- x2 + x3= 8
Find all solutions to the system using the Gauss-Jordan elimination algorithm. 3x3 + 15x4 =0
Find all solutions to the system using the Gauss-Jordan elimination algorithm. 3x3 + 15x4 =0 x1 + x2 + x3 + x4 =1 4x1 - x2 + x3 + 4x4 = 0 4x1 - x2 + x3 + x4 =0 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The system has a unique solution x1=_______ ,x2=_______ ,x3=_______ ,x4=_______ B. The system has an infinite number of solutions characterized as follows.C. The system has an infinite number of...
Thank you! Solve using Gauss-Jordan elimination 2x1 + 6x2 - 26x3 = 18 4x1 + 3x2...
Thank you! Solve using Gauss-Jordan elimination 2x1 + 6x2 - 26x3 = 18 4x1 + 3x2 - 16x3 = 0 x1 + x2 - 5x3 = 1 Select the correct choice below and fill in the answer A) The unique solution is x1=_________, x2 = ________, and x3 - _________. B) The system has infinitely many solutions. The solution is x1 = __________, x2 = _____________, and x3 = t. (Many thanks for the help) Sandi
Use the simplex algorithm to find all optimal solutions to the following LP. max z=2x1+x2 s.t....
Use the simplex algorithm to find all optimal solutions to the following LP. max z=2x1+x2 s.t. 4x1 + 2x2 ≤ 4 −2x1 + x2 ≤ 2 x1 ≥1 x1,x2 ≥0
Solve the following system of equations using a) Gauss elimination method (upper triangle matrix) and report...
Solve the following system of equations using a) Gauss elimination method (upper triangle matrix) and report values of x1, X2, X3 and 2. X4: b) Gauss-Jordan elimination method (diagonal matrix) and report values of x1, X2, X3 and Xa: 4x1-2x2-3x3 +6x4 = 12 -6x1+7x2+6.5x3 -6x4 -6.5 X1+ 7.5x2 +6.25x3 + 5.5x4 16 -12x1 +22x2 +15.5x3-X4 17
Solve the system of linear equations using the Gauss-Jordan elimination method. 3x1 2x2X316 x1 + 2x2...
Solve the system of linear equations using the Gauss-Jordan elimination method. 3x1 2x2X316 x1 + 2x2 + 2x3 = 12 (X1, X2, X3) =
4.3.67 Solve using Gauss-Jordan elimination. x1 - x2 + x3 = -0.9 -2x1 +5x2 + 5x3 + 4x4 = 2.1
4.3.67Solve using Gauss-Jordan elimination. x1 - x2 + x3 = -0.9 -2x1 +5x2 + 5x3 + 4x4 = 2.1 3x1 + 6x3 + 7x4 = - 4.7 4x1 – 3x2 + 2x3 + 6x4 = -6.7 Select the correct choice below and fill in the answer box(es) within your choice. 4.3.47Solve using Gauss-Jordan elimination 3x1 + 3x2 - 7x3 = - 15 4x1 + 18x2 - 43x3 = - 23 x1 + 3x2 - 7x3 = -5 Select the correct choice below and fill in the answer box(es) within your...
Question 3: Identify which of LP problems (1)--(4) has (x1,x2) = (20,60) as its optimal solution....
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...
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...
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.
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 following system of equations using a) Gauss elimination method (upper triangle matrix) and report values of x1, X2, X3 and 2. X4: b) Gauss-Jordan elimination method (diagonal matrix) and report values of x1, X2, X3 and Xa: 4x1-2x2-3x3 +6x4 = 12 -6x1+7x2+6.5x3 -6x4 -6.5 X1+ 7.5x2 +6.25x3 + 5.5x4 16 -12x1 +22x2 +15.5x3-X4 17
Solve the system of linear equations using the Gauss-Jordan elimination method. 3x1 2x2X316 x1 + 2x2 + 2x3 = 12 (X1, X2, X3) =
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...
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