The Feasible Region

Front

What is the feasible region in linear programming?

Back

The feasible region is the set of all possible points (x, y) that satisfy the constraints of a linear programming problem.

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How do you identify the vertices of the feasible region?

Back

The vertices of the feasible region can be identified by finding the intersection points of the boundary lines defined by the constraints.

Front

What is a constraint in linear programming?

Back

A constraint is a linear inequality that restricts the values of the variables in a linear programming problem.

Front

What does it mean for a solution to be feasible?

Back

A feasible solution is one that satisfies all the constraints of the linear programming problem.

Front

What is an objective function in linear programming?

Back

The objective function is the function that needs to be maximized or minimized in a linear programming problem.

Front

What is the graphical method in linear programming?

Back

The graphical method involves plotting the constraints on a graph to visually identify the feasible region and the optimal solution.

Front

What is the significance of the vertices in the feasible region?

Back

The optimal solution to a linear programming problem will always occur at one of the vertices of the feasible region.

Front

What is the role of the boundary lines in the feasible region?

Back

Boundary lines represent the constraints of the linear programming problem and define the limits of the feasible region.

Front

How can you determine if a point is in the feasible region?

Back

A point is in the feasible region if it satisfies all the constraints of the linear programming problem.

Front

What is the difference between a bounded and unbounded feasible region?

Back

A bounded feasible region is enclosed and has a finite area, while an unbounded feasible region extends infinitely in at least one direction.