Question

20. when we solve a system of simultaneous linear equations by using Two-Phase Simplex Method, the values of
decision variables may be
(a) Positive,
(c) Zero,
(b) negative,
(d) positive and/or negative.​

Answer 1

Concept

The so-called two-phase technique separates the procedure into two stages. The first step is to locate a BFS for the original LP. Indeed, we shall temporarily disregard the original goal in favour of minimising the sum of all created variables.

Given

when we solve a system of simultaneous linear equations by using Two-Phase Simplex Method, the values of

decision variables may be

(a) Positive,

(c) Zero,

(b) negative,

(d) positive and/or negative.​

Find

We are asked to choose the correct option

Solution

When we solve a system of simultaneous linear equations by using Two-Phase Simplex Method, the values of decision variables may be zero.

Hence (c) option means zero is a correct option.

Answer 2

Answer:

When we solve a system of simultaneous linear equation by using two - phase simplex method , the values of decision variables may be zero.

The two - phase simplex method is used to solve Standard Linear Programming ( STP) problems when we do not have a starting basic feasible solutions. In standard simplex method , we always have a baseline BFS ( set all the basic variables to start out optimizing from - we continue to optimize until we reach the optimal solution )

The main idea of simplex method is to start at one vertex and try to find an adjacent vertex  to it which will increase ( in the case of maximization ) the objective function .

Now the question is how to choose the starting vertex. Usually , its 0 as starting vertex , but 0 is not always feasible solution.

learn more about two - phase simplex method :

https://brainly.in/question/22679710

https://brainly.in/question/12447988

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