İŞLETME KARAR MODELLERİ

The concept of linear programming and its solution method “simplex” was first introduced by George Dantzig.

In a linear program, the optimum solution is at one of the corners of the feasible region, i.e., the solution space.

The number of basic solutions can be calculated with this equation.

The variables that are set to zero are called non-basic variables.

The corner points E and F are infeasible, as they do not meet the non-negativity constraints of the augmented model.

If two corner-point feasible solutions are connected by a line segment, these corner- point feasible solutions are adjacent.

If there isn't a better CPF solution iteration is not applied.

The concept of linear programming and its solution method “simplex” was first introduced by George Dantzig, the so-called father of linear programming. His research on the planning methods for the US Army Air Force was a game changer, as the method had great potential for dealing with difficult decision making problems by utilizing technological/computational advances.

The correct answer is E.

The variables that are set to zero are called non-basic variables. These have zero coefficients and are not related to the basic solution, as they have no effect on the objective function. On the contrary, the remaining are the only variables that determine the basic solution.

The correct answer is E.

The value at the intersection of the pivotal column and row is called the pivotal number. It is alternatively called as pivot number or pivot element 

The correct answer is D.

A basic solution—whether it is feasible or not—is a corner point of the solution space. The corner points of system of equations are obtained by setting n – m number of variables equal to zero and solving the equations for the remaining m number of variables.

The correct answer is D.

Here, the system has two equations (m = 2) and four variables. (n = 4) Thus, there are 6 basic solutions.

C2-4 = 4!/ 2!(4 − 2)! = 6

The correct answer is C.

For this system of equations, basic solutions can be determined by setting two (n – m = 2) of the variables to zero and solving the equations for the remaining two (m = 2). 

The correct answer is C.

If two corner-point feasible solutions are connected by a line segment, these cornerpoint feasible solutions are adjacent. Two corner-point feasible solutions are adjacent if all but one of their respective variables have the same value.

The correct answer is B.

A slack or surplus is utilized to reconstruct a constraint to obtain equation format. A slack variable represents the remainder of an expendable resource and applies to less than or equal constraints. On the other hand, a surplus represents the excess amount of a restricted resource and applies to greater than or equal constraints.

The correct answer is B.

A slack or surplus is utilized to reconstruct a constraint to obtain equation format. A slack variable represents the remainder of an expendable resource and applies to less than or equal constraints. 

The correct answer is A.

In the simplex tableau, this is implied by a negative coefficient in the pivotal column. Before moving forward, the steps of determining the pivotal row are given below:

1. Take each positive coefficient in the pivotal column.

2. Divide each of these into the right-hand side constant for the corresponding row.

3. Identify the row that has the minimum ratio.

4. Pivotal row is the row that is identified in the previous step.

The correct answer is A.

All of them are true for simplex method.

The value at the intersection of the pivotal column and row is called the pivotal number.

Pivot number is 2 in this tableau.