Question

In: Advanced Math

Exercise Solve the following linear programs graphically. Maximize            Z = X1 + 2X2 Subject to            2X1...

Exercise

Solve the following linear programs graphically.

Maximize            Z = X1 + 2X2

Subject to            2X1 + X2 ≥ 12

                            X1 + X2 ≥ 5

                           -X1 + 3X2 ≤ 3

                           6X1 – X2 ≥ 12

                           X1, X2 ≥ 0

Solutions

Expert Solution


Related Solutions

Solve the following linear programs graphically. Minimize            Z = 4X1 - X2 Subject to            X1 +...
Solve the following linear programs graphically. Minimize            Z = 4X1 - X2 Subject to            X1 + X2 ≤ 6                             X1 - X2 ≥ 3                            -X1 + 2X2 ≥ 2                            X1, X2 ≥ 0
Consider the following linear program:   maximize z = x1 + 4x2 subject to: x1 + 2x2...
Consider the following linear program:   maximize z = x1 + 4x2 subject to: x1 + 2x2 <= 13 x1 - x2 <= 8 - x1 + x2 <= 2 -3 <= x1 <= 8 -5 <= x2 <= 4 Starting with x1 and x2 nonbasic at their lower bounds, perform ONE iteration of the Bounded Variables Revised Simplex Method. (Tableau or matrix form is acceptable). Show your work. Clearly identify the entering and leaving variables. After the pivot, identify the...
Exercise Minimize            Z = X1 - 2X2 Subject to            X1 - 2X2 ≥ 4            &
Exercise Minimize            Z = X1 - 2X2 Subject to            X1 - 2X2 ≥ 4                             X1 + X2 ≤ 8                            X1, X2 ≥ 0
Solve the following linear programming model graphically: Max Z= 3x1 +4x2 Subject to: 2x1 + 4x2...
Solve the following linear programming model graphically: Max Z= 3x1 +4x2 Subject to: 2x1 + 4x2 <= 22 -x1 + 4x2 <= 10 4x1 – 2x2 <= 14 x1 – 3x2 <= 1 x1, x2, >=0 Clearly identify the feasible region, YOUR iso-profit line and the optimal solution (that is, d.v. values and O.F. Value.
MAXIMIZATION BY THE SIMPLEX METHOD Maximize z = x1 + 2x2 + x3 subject to x1...
MAXIMIZATION BY THE SIMPLEX METHOD Maximize z = x1 + 2x2 + x3 subject to x1 + x2 ≤ 3 x2 + x3 ≤ 4 x1 + x3 ≤ 5 x1, x2, x3 ≥0
Given the following primal problem: maximize z = 2x1 + 4x2 + 3x3 subject to x1...
Given the following primal problem: maximize z = 2x1 + 4x2 + 3x3 subject to x1 + 3x2 + 2x3 ≥ 20 x1 + 5x2 ≥ 10 x1 + 2x2 + x3 ≤ 18 x1 , x2 , x3 ≥ 0 1. Write this LP in standart form of LP. 2.Find the optimal solution to this problem by applying the Dual Simplex method for finding the initial basic feasible solution to the primal of this LP. Then, find the optimal...
Max Z = 2x1 + 8x2 + 4x3 subject to 2x1 + 3x2     ≤ 8 2x2...
Max Z = 2x1 + 8x2 + 4x3 subject to 2x1 + 3x2     ≤ 8 2x2 + 5x3     ≤ 12 3x1 + x2 + 4x3         ≤15 and x1,x2,x3≥0; Indicate clearly the optimal basic and nonbasic variables and their values and write the reduced cost of each optimal nonbasic variable.
MAX Z = 2x1 + 8x2 + 4x3 subject to 2x1 + 3x2 <= 8 2x2...
MAX Z = 2x1 + 8x2 + 4x3 subject to 2x1 + 3x2 <= 8 2x2 + 5x3 <= 12 3x1 + x2 + 4x3 <= 15 x1 + x3 = 11 and x1,x2,x3 >= 0 apply the Dual Simplex Method to recover feasibility.
For the following linear programming problem:    Maximize z = 2x1+ x2    Such that     ...
For the following linear programming problem:    Maximize z = 2x1+ x2    Such that      x1+ 2x2 ≤ 12          x2 ≥ 3       x1,x2 ≥ 0 (a) Write the first two constraints in equation form by adding slack or subtracting excess (surplus) variables. (b)Find all basic solutions for this LP (c) Which of these solutions are feasible? (d)Which of these feasible solutions is optimal? Find the optimal value of z
4.Maximize: Z = 2X1+ X2-3X3 Subject to: 2X1+ X2= 14 X1+ X2+ X3≥6 X1, X2, X3≥0...
4.Maximize: Z = 2X1+ X2-3X3 Subject to: 2X1+ X2= 14 X1+ X2+ X3≥6 X1, X2, X3≥0 Solve the problem by using the M-technique.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT