Question

In: Statistics and Probability

Maximize Z= 3 X1+4 X2+2.5X3 Subject to 3X1+4X2+2X3≤500 2X1+1X2+2X3≤400 1X1+3X2+3X3≤300 X1,X2,X3≥0 Change objective function coeffiecient x3...

Maximize Z= 3 X1+4 X2+2.5X3

Subject to

3X1+4X2+2X3≤500

2X1+1X2+2X3≤400

1X1+3X2+3X3≤300

X1,X2,X3≥0

Change objective function coeffiecient x3 to 6 and change coefficient of x3 to 5in constraint 1 ,to 2 in constraint 2 ,to 4 in constraint3. calculate new optimal solution using sensitivity analysis

Solutions

Expert Solution

The solution is:

The sensitivity analysis is:


Related Solutions

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.
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...
Consider the problem   maximize   Z = 5 x1 + 3 x2 + 2 x3 + 4...
Consider the problem   maximize   Z = 5 x1 + 3 x2 + 2 x3 + 4 x4        subject to                       5 x1 + x2 + x3 + 8 x4 = 10                       2 x1 + 4 x2 + 3 x3 + 2 x4 = 10                                     X j > 0, j=1,2,3,4 (a) Make the necessary row reductions to have the tableau ready for iteration 0. On this tableau identify the corresponding initial (artificial) basic feasible solution. Also, identify the initial entering and...
By using Big-m method Minimize z=4x1+8x2+3X3subject to x1+x2>=2, 2x1+x3>=5 and x1,x2,x3>=0
By using Big-m method Minimize z=4x1+8x2+3X3subject to x1+x2>=2, 2x1+x3>=5 and x1,x2,x3>=0
Find dual from primal conversion MIN Z = x1 - 2x2 subject to 4x1 - x2 >= 8 2x1 + x2 >= 10 -x1 + x2 <= 7 and x1,x2 >= 0
Find dual from primal conversion MIN Z = x1 - 2x2 subject to 4x1 - x2 >= 8 2x1 + x2 >= 10 -x1 + x2 = 0
Solve the following linear programming problem using generalised simplex method Maximise z= 2x1+3x2 subject to -2x1+x2>=3...
Solve the following linear programming problem using generalised simplex method Maximise z= 2x1+3x2 subject to -2x1+x2>=3 3x1+x2<=5 x1,x2>=0
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT