(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.
Homework Answers
Add Answer to:
8. Minimize z - 8x1 + 6x2 + 11x3 subject to 5x1 x2 + 3x3 s 4 5x1 + x2 + 3x3 2 2 2x, + 4x2 + 7x3 s...
(a) State the dual problem. (b) Solve both the primal and the dual problem with any method that w...
(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.
8. Minimize z -8x1 + 6x2 + 11x3 subject to 5x1 x2 + 3x3 s 4 5x1 + x2 + 3x3「2 2x1 + 4x2 + 7x3 s.5 2x1 + 4x2 + 7x3 2 3 x1 + x2...
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...
(a) State the dual problem. (b) Solve both the primal and the dual problem with any method that w...
(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.
9. Minimize z subject to 4x1 + x2 + x3 + 3x4 2x, + x2 + 3x3 + x4 2 12 3xi + 2x2 + 4x3 2x1-x2 + 2x3 + 3x4-8 3x1 + 4x2 + 3x3 х,2...
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...
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...
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
Problem 5: a) (2 Points) Using the two-phase simplex procedure solve Minimize 3X1 + X2 +...
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.
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...
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 40, x2 20. 3. xi + X2 = 1, x120, x120.
Solve by solving the dual problem. Minimize z = 30x1 + 15x2 + 28x3, subject to 5x1 + 3x2 + 4x3...
Solve by solving the dual problem. Minimize z = 30x1 + 15x2 + 28x3, subject to 5x1 + 3x2 + 4x3 ≥ 45 5x1 + 6x2 + 8x3 ≥ 120 20x1 + 6x2 + 14x3 ≥ 300 x1 ≥ 0, x2 ≥ 0, x3 ≥ 0. x_1= x_2= x_3= z=
3. Problem 4-10 on p. 164: Find the optimal value of the objective function for the...
3. Problem 4-10 on p. 164: Find the optimal value of the objective function for the following problem by inspecting only its dual. (Do not solve the dual by the simplex method). Minimize z = 10x1 + 4x2 + 5x3 subject to 5x1 - 7x2 + 3x3 > 50 x1 > 0, x2 > 0, x3 0
Solve the following problems using the Simplex method and verify it graphically Problem 4 Minimize f=5x1...
Solve the following problems using the Simplex method and verify it graphically Problem 4 Minimize f=5x1 + 4x2 - 23 subject to X1 + 2x2 - X3 = 1 2x1 + x2 + x3 = 4 X1, X2 2 0; xz is unrestricted in sign
(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.
8. Minimize z -8x1 + 6x2 + 11x3 subject to 5x1 x2 + 3x3 s 4 5x1 + x2 + 3x3「2 2x1 + 4x2 + 7x3 s.5 2x1 + 4x2 + 7x3 2 3 x1 + x2...
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...
(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.
9. Minimize z subject to 4x1 + x2 + x3 + 3x4 2x, + x2 + 3x3 + x4 2 12 3xi + 2x2 + 4x3 2x1-x2 + 2x3 + 3x4-8 3x1 + 4x2 + 3x3 х,2...
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...
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
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.
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 40, x2 20. 3. xi + X2 = 1, x120, x120.
3. Problem 4-10 on p. 164: Find the optimal value of the objective function for the following problem by inspecting only its dual. (Do not solve the dual by the simplex method). Minimize z = 10x1 + 4x2 + 5x3 subject to 5x1 - 7x2 + 3x3 > 50 x1 > 0, x2 > 0, x3 0
Solve the following problems using the Simplex method and verify it graphically Problem 4 Minimize f=5x1 + 4x2 - 23 subject to X1 + 2x2 - X3 = 1 2x1 + x2 + x3 = 4 X1, X2 2 0; xz is unrestricted in sign
Most questions answered within 3 hours.
-
A 10.000 g sample of water contains 11.19% H by mass. what
should be the %H...
asked 3 minutes ago -
Consider an investment game among 2 players. Each player can
either invest,
i, or not invest,-i....
asked 1 minute ago -
The time taken to complete a particular task is normally
distributed with a standard deviation of...
asked 11 minutes ago -
we have heteroskedasticity in a regression when:
When the variance of error terms changes when an...
asked 20 minutes ago -
Explain some different types of fungi. State the different
divisions undergo by fungi.
asked 33 minutes ago -
The shortest time that 120 C can flow through a 20 A circuit
breaker without tripping...
asked 34 minutes ago -
A software design pattern is a general, reusable solution to a
commonly occurring problem, acting as...
asked 36 minutes ago -
The mean waiting time at the drive-through of a fast-food
restaurant from the time an order...
asked 53 minutes ago -
The pitch (p) of a helix is defined as p = dn, in which n is...
asked 54 minutes ago -
Do you agree that the declining stock of social capital is the
blame for the failure...
asked 58 minutes ago -
A researcher is interested in whether coffee consumption helps
with performance on reading comprehension tasks. The...
asked 1 hour ago -
it has been estimated since the beginning of the human race that
about 133 metric ton...
asked 1 hour ago