following problems, we will be performing sensitivity analysis on the following LPP: Maximize Z = 25x+30x,...
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...
Consider the following LPP: Maximize z = 50x1 + 20x2 + 30x3 subject to 2x1 + x2 + 3x3 + 90 (Resource A) x1 + 2x2 + x3 + 50 (Resource B) x1 + x2 + x3 + 80 (Resource C) x1, x2 , x3 > 0 The final simplex table is Basis cj x1 x2 x3 s1 s2 s3 Solution 50 20 30 0 0 0 x1 50 1 -1 0 1 -1 0 40 x3 30 0...
Example 3.5-2 (Infinite Number of Solutions) Maximize z = 2xy + 4x2 subject to *'y + 2xy = 5 X1 + X2 5 4 *1,*220 Figure 3.9 demonstrates how alternative optima can arise in the LP model when the objec- tive function is parallel to a binding constraint. Any point on the line segment BC represents an alternative optimum with the same objective value z = 10. The iterations of the model are given by the following tableaus.
Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+y2- 1 1. (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above constraints are changed to: (3) (4) 2x -0.9y-z 2 x2+ y2- 0.9. Solve the following problem...
Solve the following problem using Lagrange multiplier method: Maximize f(x,y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+ y2- 1 (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above constraints are changed to: (3) (4) 2x-0.9y-z =2 x2+y2- 0.9 Solve the following problem using Lagrange...
please answer step by step Solve the following problem using Lagrange multiplier method: Maximize f(x.y,z) = 4y-2z subject to the constraints 2x-y-z 2 x2+ y2-1 1. (1) (2) (Note: You need not check the Hessian matrix, just find the maximum by evaluating the values of f(x,y,z) at the potential solution points) Also, using sensitivity analysis, find the change in the maximum value of the function, f, if the above changed to: (3) (4) constraints are 2x-0.9y-z 2 x2+y2-0.9. Solve the...
Solve the following problem by Simplex method and verify the solution graphically whenever possible Maximize z = 12x1 + 7x2 subject to 2x1 + x2 ≤ 5 3x1 +4x2 ≤ 10 x1 ≤ 2 x2 ≤ 3 x1, x2 ≥ 0
1) Consider the following model: Minimize Z - 40x, +50x, subject to: 2x, + 3x, 2 30 x,x2 212 2x, x2 20 x 20 a) Use the graphical method to solve this model b) How does the optimal solution change if the objective function is changed toi Z- 40x, 70x2 c) How does the optimal solution change if the third functional constraint is changed tot 2x, +x, 2 15
Using the big M method to find the maximum value. Maximize subject to P = 3X, +5X2 +6X3 2xy + X₂ + 223 572 2X1 + X2 - 2x = 3 X, X2, X3 20 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum value P = at x1 , X2= Xz = B. There is no solution.
Problem #5 -- Consider the following linear programming problem: Maximize Z = 2x1 + 4x2 + 3x3 subject to: X1 + 3x2 + 2x3 S 30 best to X1 + x2 + x3 S 24 3x1 + 5x2 + 3x3 5 60 and X120, X220, X3 2 0. You are given the information that x > 0, X2 = 0, and x3 >O in the optimal solution. Using the given information and the theory of the simplex method, analyze the...