Linear Programming

Front

What is Linear Programming?

Back

Linear Programming is a mathematical method for determining a way to achieve the best outcome in a given mathematical model. Its function and constraints are linear.

Front

What does the term 'constraint' mean in Linear Programming?

Back

A constraint is a condition that must be satisfied in a linear programming problem, often represented as an inequality.

Front

What is an objective function in Linear Programming?

Back

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

Front

What does the feasible region represent in Linear Programming?

Back

The feasible region is the set of all possible points that satisfy the constraints of a linear programming problem.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding equation as a line, then shade the region that satisfies the inequality.

Front

What is the significance of corner points in Linear Programming?

Back

Corner points (or vertices) of the feasible region are significant because the optimal solution to a linear programming problem occurs at one of these points.

Front

What is the graphical method in Linear Programming?

Back

The graphical method is a way to solve linear programming problems by graphing the constraints and identifying the feasible region.

Front

What is the difference between 'maximization' and 'minimization' in Linear Programming?

Back

Maximization seeks to find the highest value of the objective function, while minimization seeks to find the lowest value.

Front

What does the term 'bounded' mean in the context of Linear Programming?

Back

A linear programming problem is bounded if the feasible region is enclosed, meaning there is a maximum or minimum solution.

Front

What is the role of the objective function in determining profit?

Back

The objective function in a linear programming problem often represents profit, where the coefficients indicate the profit per unit of each variable.