Simplex Method Concepts and Applications

The video tutorial explains the Simplex method for maximizing an objective function using a Tableau. It covers identifying active variables, writing the basic solution, and analyzing the feasibility of the solution. The tutorial highlights the presence of unbounded regions, indicating no optimal solution exists.

What is the primary goal of using the Simplex method in linear programming?

• To minimize the number of variables

• To maximize or minimize an objective function

• To find the shortest path in a network

• To balance supply and demand

In the context of the Simplex method, what does a column with only one '1' and the rest '0's indicate?

• The column is inactive

• The column is a pivot column

• The variable is active or basic

• The variable is non-basic

Which variable is associated with the first row in the given Tableau?

• P

• S sub 1

• x sub 1

• x sub 2

Which row is associated with the variable P in the Tableau?

• Second row

• Fourth row

• First row

• Third row

What is the value of the variable S sub 2 in the basic solution represented by the Tableau?

• 425

• 375

• 0

• 275

What happens to non-basic variables in the basic solution of a Tableau?

• They are set to one

• They are maximized

• They are minimized

• They are set to zero

What is the value of the variable P in the basic solution?

• 425

• 0

• 275

• 375

What does a negative entry in the pivot column of the bottom row indicate?

• The solution is optimal

• The solution is infeasible

• The feasible region is bounded

• The feasible region is unbounded

Why can't a column with all negative entries be a suitable pivot?

• Because the pivot must be negative

• Because the pivot must be positive

• Because the pivot must be zero

• Because the pivot must be non-zero

What does it mean if no optimal solution exists in the context of the Simplex method?

• The solution is infeasible

• The objective function is minimized

• The objective function is maximized

• The feasible region is unbounded