3. Solve the accompanying LP using the Big M Method. A Convert the problem into the...
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.
*5. Solve the following LP problem using two-phase Simplex method: Maximize f= 4x1+ x2 + x3 subject to: 2x1x22x3= 4 Зх1 +3x2 + хз %3D 3, X12 0, х2 20, х3 2 0. [Note: Since a BFS is not available, start Phase I simplex algorithm by introducing variables] two artificial
*5. Solve the following LP problem using two-phase Simplex method: Maximize f= 4x1+ x2 + x3 subject to: 2x1x22x3= 4 Зх1 +3x2 + хз %3D 3, X12 0, х2 20,...
*5. Solve the following LP problem using two-phase Simplex method: Maximize f- 4x1x2 X3 subject to 2х1 + X2 + 2хз - 4, Зх1 + 3x2 + хз 3 3, х120, х2 2 0, хз 2 0. Note: Since a BFS is not available, start Phase I simplex algorithm by introducing two artificial variables]
*5. Solve the following LP problem using two-phase Simplex method: Maximize f- 4x1x2 X3 subject to 2х1 + X2 + 2хз - 4, Зх1 + 3x2...
2. Solve the following LP problem using the simplex method s.t. - 3Xl- X22-6 X1 +X224 and Xl 2 0,X2 u.r.s. HINT: Use the Big-M Method to find an initial bfs.
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 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 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).
SIMPLEX METHOD Solve the following problem using simplex method LP MODEL Let X1 no. of batches of Bluebottles X2 no. of batches of Cleansweeps Objective: Max Z-10X1+20X2 Subject to: 3X1 4X2 S 3 Plant 1 assembly capacity constraint -X1 2-5 5X1 +6X2 s 18 Z, X1, X2 20 Plant 2 capacity constraint Plant 3 capacity constraint
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.
(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...