Solve the following LP problem using the Simplex Method. Type out all work. (Use the table...
5. Solve the following LP problem using Phase I and Phase II simplex algorithm. Maximize f(X) = x1 + x2, subject to: 4x1-2x2 8 XI6 X1, X20 5. Solve the following LP problem using Phase I and Phase II simplex algorithm. Maximize f(X) = x1 + x2, subject to: 4x1-2x2 8 XI6 X1, X20
*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,...
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.
*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...
Please answer both 4. 0-2 points TanFin1 14.1.022 Solve the linear programming problem by the simplex method. Maximize P 12x + 9y subject to x+ys 12 3x ys 30 10x + 7y 70 x 20, y 20 The maximum is P at (x, y)- Submit Answer Save Progress 5. -12 points TanFin11 4.1.028. Solve the linear programming problem by the simplex method. Maximize P2z subject to 2x y + zs 12 4x +2y 3z s 24 2x + 5y 5z...
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) a)Maximize p = 3x + 2y subject to −4x+y≥10 x+3y≤12 x ≥ 0, y ≥ 0 p= (x,y)= b) Maximize and minimize p = x + 2y subject to x + y ≥ 6 x + y ≤ 8 x...
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
Determine the dual problem. Solve either the original problem or its dual by the simplex method, and then give the solutions to both. Minimize 2x +y + 3z subject to the constraints below. xty +z 211 4x+ y 245 x20, y20, z20 Determine the dual problem. Vsubject to the following constraints. u20, v20 Give the solution to the dual problem The value iswhich is attained whenand v Simplify your answers.) Give the solution to the original problem. The (Simplify your...
both questions require different ways of solving. Solve the linear programming problem graphically. Minimize c= 2x–5y, subject to (x+ y = 10 {3x – y 26 (x20, y20 (3x + y = 5 Use the simplex method to maximize p = 2x + y, subject to {x+2y 2 . x>0, y20
The final simplex tableau for the linear programming problem is below. Give the solution to the problem and to its dual. Maximize 6x+ 3y subject to the constraints 5x+ ys 60 3x+ 2y s 50 x20, y20 x 1 0 4 0 10 0 10 1 90 For the primal problem the maximum value of M 11 which is attained for xD yL For the dual problem the minimum value of M is , which is attained for u-L Enter...