5. Use the simplex method with the tableau to solve the following LP. Report the value...

Question

Question

5. Use the simplex method with the tableau to solve the following LP. Report the value of all the variables of an optimal sol

Answer 1

Answer #1

- maxx, fot. 50, Lu 6%,<8 32,23 the problem is equivalent to dz, kz, dy be slack variables. Then max x, 50, +82 6x, +xz = 8 3

Answer 2

Similar Homework Help Questions

1. Apply the simplex method to solve the following LP. Use the tableau format. You should...

1. Apply the simplex method to solve the following LP. Use the tableau format. You should show that you know the simplex method, standard forms and optimality criteria. Don't worry about arithmetic and do not do more than 2 iterations. Comment on an optimal solution. maximize subject to 21 + 2x2 – x1 + x2 = 2 —2x1 + x2 <1 x1, x2 > 0
Exercise 1. Please use the simplex method to solve the below LP min 2=3.01 - 22...

Exercise 1. Please use the simplex method to solve the below LP min 2=3.01 - 22 s.t. 2.c +228 2 + xy S5 21 - 22<4 2,220 a) Write the LP in standard form. b) Provide tableaus, BV, NBV, solution, objective value for each iteration of the simplex method. (Hint: the optimal value z=-5).
(3) Kyle gave Cartman the tableau of a max-LP to solve using the simplex method. The LP had two variables (x1, 22) and two < constraints. Cartman decided to play a joke on Kyle, so he (a) chan...

(3) Kyle gave Cartman the tableau of a max-LP to solve using the simplex method. The LP had two variables (x1, 22) and two < constraints. Cartman decided to play a joke on Kyle, so he (a) changed the coefficient of zi in the first constraint from 6 to 9, and (b) solved the LP as a min-LP With these modifications, Cartman got the following"optimal" tableau after performing a single pivot. Find the correct optimal tableau that Kyle should have...

Exercise 1. Please use the simplex method to solve the below LP min z=3.r - 12...

Exercise 1. Please use the simplex method to solve the below LP min z=3.r - 12 s.t. 21; +12<8 21 +225 21 - 22 S4 21,220 a) Write the LP in standard form. b) Provide tableaus, BV, NBV, solution, objective value for each iteration of the simplex method. (Hint: the optimal value z=-5).
Exercise 1. Please use the simplex method to solve the below LP min z=3.r - 12...

Exercise 1. Please use the simplex method to solve the below LP min z=3.r - 12 s.t. 21; +12<8 21 +225 21 - 22 S4 21,220 a) Write the LP in standard form. b) Provide tableaus, BV, NBV, solution, objective value for each iteration of the simplex method. (Hint: the optimal value z=-5).
Problem 3. (a) Solve the following LP problem using the Simplex Method. Use the smallest- subscript...

Problem 3. (a) Solve the following LP problem using the Simplex Method. Use the smallest- subscript rule to choose entering and leaving variables. Show all steps. maximize xi+ 5.02 + 5x3 + 524 subject to X1+ 412 + 3x3 + 3x4 < 17 12 + x3 + x4 <4 Xit 202 + 2x3 + 3x4 < 10 X1, ..., 84>0. (b) Is the optimal solution you found the only one? Explain.

4) (20 pts) Consider the following optimal Simplex Tableau of an LP problem: 11 12 13...

4) (20 pts) Consider the following optimal Simplex Tableau of an LP problem: 11 12 13 0 0 0 14 -4 1 RHS -2-40 0 1 1 1 It is known that 14 and 15 are the slack variables in the first and the second constraints of the original problem. The constraints are stype. Write the original problem.
Solve the following LP problem using the Simplex Method. Type out all work. (Use the table...

Solve the following LP problem using the Simplex Method. Type out all work. (Use the table function 3. with borders to create your tableaux.) Maximize subject to x + 3y +zS15 3x 2y +zs 25 x20,y2 0, z20
3. Use the simplex algorithm to find an optimal solution to the following LP: s.t. 3x1...

3. Use the simplex algorithm to find an optimal solution to the following LP: s.t. 3x1 +26 s.t.-xi + 2x2 S 0 レ

Problem 3: Consider the following LP. (a) Solve the LP with the graphical method. (b) Place...

Problem 3: Consider the following LP. (a) Solve the LP with the graphical method. (b) Place the model in standard form. (c) Use a simplex algorithm in tableau form and solve the LP. (d) Using matrix A and b recalculate the basic feasible solution and the directions for the first iteration.