Question: Question 4 Consider the following LP and the corresponding optimal tableau. Max Z = 2x + x2 - st X, + 2x2 + x3 58

Question 4 Consider the following LP and the corresponding optimal tableau. Max Z = 2x + x2 - st X, + 2x2 + x3 58 -*4 + x2 - 2xy S4 X1, X3, Xy 20 2 t's 0 2 1 Ii 1 Is 0 0 NOO I3 14 3 2 1 1 -1 1 ol RHS 16 8 12 1 a) For what values of the coefficient of the x; in the objective function the current optimal solution remains optimal? b) Suppose that the right hand side of the first constraint is changed from 8 to 8 - A and the right hand side of the second constraint is changed from 4 to 4 + 20. For which values of A does the current basis remain optimal? How does the optimal bfs and the optimal value change with respect ? c) Find the optimal values for the dual decision variables

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!

E4-21 Reporting an Income Statement, Statement of Stockholders Equity, and Balance Sheet LO4-2 Green Valley Company prepared the following trial balance at the end of its first year of operations...

Consider the following LP and the corresponding optimal tableau. Max Z=2x2 + x2 - X *;+ 2xy + xy S8 --X: + x2 2x, 54 S.L. *1,42,43 20 2 2 21 22 24 25 RHS 10 3 32 0 16 2 11 0 8 3 -1 12 0 1 Is 0 0 a)...

4. Consider the following LP and its optimal final tableau shown below. Max z = 2x1 + x2 X3 Subject to X1 + x2 + 2x3 = 6 X1 + 4x2 X3 54 X1, X2,43 20 Row BV .X2 S1 S2 RHS 1 26 0 0 6 0 3 3 1 2 X3 0 0 -...

1. consider the following LP problem and its optimal tableau shown below. Maximize z = 3x 1 + 2x 2 + 5x 3 s.t. x 1 + 2x 2 + x 3 5 3x1 + 2x3 6 x1 + 4x2 2 1) Write the dual problem. optimal Tableau: x1...

Consider the following LP and its optimal final tableau shown below. 21 + X2 4. Max z = Subject to X1 + x2 + 2x3

please solve this problem Group 24 Consider the following LP: max z = -3x + x + 2x3 s.t. -X1 -2x - 3x X1, X2, X3 = 0 a Find the dual to this LP and show that it has the same feasible region as the...

Please solve As soon as In exam i have only 30 minutes Solve quickly i get you thumbs up directly Thank's Abdul-Rahim Taysir Question #2 Consider the following LP formulation: Maximize Z= 2x1 +...

Question #2 Consider the following LP formulation: Maximize Z= 2x1 + x2-3x3+5x4 Subject to X1 +2X2 +2x3+4x4sb: 2x1 -X2 +X3+2x45b2 4x1 -2X2 +Xg+Xusb X1, X2, X3, X120 the following optimal tableau...

Consider the following LP problem and its optimal final tableau shown below: (LP): max z = 2x1 + x2 x3 s.t. x1 + 2x2 + x3 8 -x1 + x2 2x3 4 x1, x2, x3 0 Basic x1 x2 x3 x4 x5 RHS z 0 3 x1 1 2 1 1 0 x5...

In the rest of this chapter, we lead the reader through the formulation of several more complicated linear programming models. The most important step in formulating an LP model is the proper choice...

Consider the following LP problem and its optimal final tableau shown below: (LP): max z = 2x1 + x2-x3 Basic x1 x2 x3 x4 x5 RHS Z 0 3 xl 1 2 1 x5 0 3 -1 x4 and x5 are slack variables in the 1".., and...

Classify the following firms as cyclical, growth, or stable (based on the nature of their respective industries). a) Alcoa b) Bristol-Myers Squibb (pharmaceuticals) c) Dominion Resources (electric...

A corollary to the Rule of 72 is the Rule of 69.3. The Rule of 69.3 is exactly correct except for rounding when interest rates are compounded continuously. Prove the Rule of 69.3 for continuously...

The Foreign Corrupt Practices Act makes it illegal for companies to pay bribes to foreipm officials, candidates, or political parties. The challecpe for all US businesses is that bribery is a common...

Case Greenbuilders Pte Lid ("GPL") is a local construction company which specialises in providing bespoke Design and Build construction services for private residential homes that are designed to be...