Please written by computer sourcePast paper help: Optimisation Q2:(a) Solve the following linear programme using Simplex algorithm. Show the intermediatesteps in the form of either the tableau or the dictionary. For each intermediate tableau/dictionary,identify the corresponding basic feasible solution.Maximise x₁ + 3x2subject to x₁ + x₂ ≤ 6-1 +21₂ ≤8I1, I2 ≥ 0(b) What is meant by polynomial time complexity in the context of linear programmes? Commenton the computational complexity of Simplex algorithm, Ellipsoid algorithm and the interiorpoint methods for solving a linear programme. Which of these is known to run in polynomialtime and which of them are fast in practice?(c) (i) Write the dual of the following linear program:Maximise 5x + 2ysubject to - x + y ≤3x+y=42x+y 22x, y ≥0(ii) Explain what is the meaning of the sensitivity interval associated with the right-handside term of a constraint. If the right-hand side term of a constraint changes, butwithout leaving its sensitivity interval, which of the following will remain unchanged(i) the composition of the basis, or (ii) the value of the basic variables, or (iii) the valueof the objective function?

Maximize x1+3x2 Subjected to x1+x2≤6-x1+2x2≤8x1,x2≥0 Note: The are three question, according to the…

Answered: (a) Solve the following linear…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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