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Solve the problems: 1. x2 x33. 2. 2x, + 2x1 + 4x2-3x3 → min. 8x1 3x2 + 3x3 3 40, x2 20. 3. xi + X2 = 1, x120, x120. Solve the problems: 1. x2 x33. 2. 2x, + 2x1 + 4x2-3x3 → min. 8x1 3x2 + 3x3 3 4...
Use duality to solve problem 4 4. Minimize z-8x1 + 4x2 + 16x3 subject to 2x1 + 2x2 + 3x3 216 3x1 ...
Use duality to solve problem 4 4. Minimize z-8x1 + 4x2 + 16x3 subject to 2x1 + 2x2 + 3x3 216 3x1 +x2 t 4xs 2 14 3x +x2 + 5x3 2 12 xi,x2, x320
Use duality to solve problem 4 4. Minimize z-8x1 + 4x2 + 16x3 subject to 2x1 + 2x2 + 3x3 216 3x1 +x2 t 4xs 2 14 3x +x2 + 5x3 2 12 xi,x2, x320
8. Minimize z - 8x1 + 6x2 + 11x3 subject to 5x1 x2 + 3x3 s 4 5x1 + x2 + 3x3 2 2 2x, + 4x2 + 7x3 s...
8. Minimize z - 8x1 + 6x2 + 11x3 subject to 5x1 x2 + 3x3 s 4 5x1 + x2 + 3x3 2 2 2x, + 4x2 + 7x3 s.5 2x1 + 4x2 + 7x3 2 3 X1 + X2 + X3 = 1 (a) State the dual problem. (b) Solve both the primal and the dual problem with any method that works. (c) Check that your optimal solutions are correct by verifying they are feasible and the primal and...
Solve the following LP problems. Z=2X1+12 Min St X, +X2 s 30 10x - 3X2 2...
Solve the following LP problems. Z=2X1+12 Min St X, +X2 s 30 10x - 3X2 2 1
6, Maximize z = 2x1 + x2 + 3x3 subject to x 3x2 5x3 s 10 2x x 20, x, 0, x320. (a) State the dua...
6, Maximize z = 2x1 + x2 + 3x3 subject to x 3x2 5x3 s 10 2x x 20, x, 0, x320. (a) State the dual problem. (b) Solve both the primal and the dual problem with any method that works. (c) Check that your optimal solutions are correct by verifying they are feasible and the primal and dual objective functions give the same value.
6, Maximize z = 2x1 + x2 + 3x3 subject to x 3x2 5x3 s...
Using the dual simplex, please solve the following linear program min z = x1 +x2 s.t. 2x tx2 5 2x1 + 3x2 26 (all x's are nonnegative) Using the dual simplex, please solve the following l...
Using the dual simplex, please solve the following linear program min z = x1 +x2 s.t. 2x tx2 5 2x1 + 3x2 26 (all x's are nonnegative)
Using the dual simplex, please solve the following linear program min z = x1 +x2 s.t. 2x tx2 5 2x1 + 3x2 26 (all x's are nonnegative)
3. Solve the following systems of equations using Gaussian elimination. (a) 2x 3x2 + 2x3 =...
3. Solve the following systems of equations using Gaussian elimination. (a) 2x 3x2 + 2x3 = 0 (d) 2x + 4x2 2.xz 4 *- x2 + x3 = 7 X; - 2x2 · 4x3 = -1 -X, + 5x2 + 4x3 = 4 - 2x - X2 3x3 = -4
Please write neatly and clear. Thanks in advance. 3. Consider the following system of equations: x1 + 2x2-1x3 + 9x4 =1 -2x1 4x2 3x2-4x3 -3x1 +4x2 + 3x3-713 Find the solution (if there is one) to the...
Please write neatly and clear. Thanks in advance.
3. Consider the following system of equations: x1 + 2x2-1x3 + 9x4 =1 -2x1 4x2 3x2-4x3 -3x1 +4x2 + 3x3-713 Find the solution (if there is one) to the system of equations. Define if the system is consistent or inconsistent. Give a geometric description of the solution if it exists a. b. c.
3. Consider the following system of equations: x1 + 2x2-1x3 + 9x4 =1 -2x1 4x2 3x2-4x3 -3x1 +4x2 +...
Excel Use Simplex method and Exel To solve the following LPPs. Maximize Maximize P-3x + x2...
Excel
Use Simplex method and Exel To solve the following LPPs. Maximize Maximize P-3x + x2 subject to the constraints x1 + x2 = 2 2x) + 3x2 s 12 3x + = 12 x 20 x220 P = 5x1 + 7x2 subject to the constraints 2xy + 3x2 = 12 3x + x2 = 12 x 20 *2 2 0 Maximize Maximize P = 2x2 + 4x2 + x3 subject to the constraints -*1 + 2x2 + 3x3 5...
3. Use Cramer's rule to solve the following equation systems: (a) 8x1 - x2 = 16...
3. Use Cramer's rule to solve the following equation systems: (a) 8x1 - x2 = 16 (©) 4x + 3y - 2z=1 2x2 + 5x3 = 5 x + 2y = 6 2X1 + 3x3 = 7 3x + Z=4 (6) - X1 + 3x2 + 2x3 = 24 (d) -x + y +7= a X, + x3 = 6 x-y+z=b Sx2 - X+Y-7=C X3 = 8
Solve the system X1 + 2x2 – 3x3 = 5 2x1 + x2 – 3x3 =...
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
Use duality to solve problem 4 4. Minimize z-8x1 + 4x2 + 16x3 subject to 2x1 + 2x2 + 3x3 216 3x1 +x2 t 4xs 2 14 3x +x2 + 5x3 2 12 xi,x2, x320
Use duality to solve problem 4 4. Minimize z-8x1 + 4x2 + 16x3 subject to 2x1 + 2x2 + 3x3 216 3x1 +x2 t 4xs 2 14 3x +x2 + 5x3 2 12 xi,x2, x320
8. Minimize z - 8x1 + 6x2 + 11x3 subject to 5x1 x2 + 3x3 s 4 5x1 + x2 + 3x3 2 2 2x, + 4x2 + 7x3 s.5 2x1 + 4x2 + 7x3 2 3 X1 + X2 + X3 = 1 (a) State the dual problem. (b) Solve both the primal and the dual problem with any method that works. (c) Check that your optimal solutions are correct by verifying they are feasible and the primal and...
Solve the following LP problems. Z=2X1+12 Min St X, +X2 s 30 10x - 3X2 2 1
6, Maximize z = 2x1 + x2 + 3x3 subject to x 3x2 5x3 s 10 2x x 20, x, 0, x320. (a) State the dual problem. (b) Solve both the primal and the dual problem with any method that works. (c) Check that your optimal solutions are correct by verifying they are feasible and the primal and dual objective functions give the same value.
6, Maximize z = 2x1 + x2 + 3x3 subject to x 3x2 5x3 s...
Using the dual simplex, please solve the following linear program min z = x1 +x2 s.t. 2x tx2 5 2x1 + 3x2 26 (all x's are nonnegative)
Using the dual simplex, please solve the following linear program min z = x1 +x2 s.t. 2x tx2 5 2x1 + 3x2 26 (all x's are nonnegative)
3. Solve the following systems of equations using Gaussian elimination. (a) 2x 3x2 + 2x3 = 0 (d) 2x + 4x2 2.xz 4 *- x2 + x3 = 7 X; - 2x2 · 4x3 = -1 -X, + 5x2 + 4x3 = 4 - 2x - X2 3x3 = -4
Please write neatly and clear. Thanks in advance.
3. Consider the following system of equations: x1 + 2x2-1x3 + 9x4 =1 -2x1 4x2 3x2-4x3 -3x1 +4x2 + 3x3-713 Find the solution (if there is one) to the system of equations. Define if the system is consistent or inconsistent. Give a geometric description of the solution if it exists a. b. c.
3. Consider the following system of equations: x1 + 2x2-1x3 + 9x4 =1 -2x1 4x2 3x2-4x3 -3x1 +4x2 +...
Excel
Use Simplex method and Exel To solve the following LPPs. Maximize Maximize P-3x + x2 subject to the constraints x1 + x2 = 2 2x) + 3x2 s 12 3x + = 12 x 20 x220 P = 5x1 + 7x2 subject to the constraints 2xy + 3x2 = 12 3x + x2 = 12 x 20 *2 2 0 Maximize Maximize P = 2x2 + 4x2 + x3 subject to the constraints -*1 + 2x2 + 3x3 5...
3. Use Cramer's rule to solve the following equation systems: (a) 8x1 - x2 = 16 (©) 4x + 3y - 2z=1 2x2 + 5x3 = 5 x + 2y = 6 2X1 + 3x3 = 7 3x + Z=4 (6) - X1 + 3x2 + 2x3 = 24 (d) -x + y +7= a X, + x3 = 6 x-y+z=b Sx2 - X+Y-7=C X3 = 8
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
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