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 is an objective function in Linear Programming?

Back

An objective function is a mathematical expression that defines the goal of the optimization problem, typically to maximize or minimize a quantity.

Front

What does it mean to maximize a function?

Back

To maximize a function means to find the highest value of that function within a given set of constraints.

Front

What are constraints in Linear Programming?

Back

Constraints are the restrictions or limitations on the variables in a Linear Programming problem, often expressed as inequalities.

Front

What is a feasible region?

Back

The feasible region is the area on a graph where all the constraints overlap, representing all possible solutions that satisfy the constraints.

Front

What is a corner point in Linear Programming?

Back

A corner point is a vertex of the feasible region where the objective function can be evaluated to find the maximum or minimum value.

Front

How do you graph constraints in Linear Programming?

Back

To graph constraints, convert inequalities into equations, plot the lines on a graph, and shade the appropriate regions to represent the constraints.

Front

What is the significance of corner points in optimization?

Back

Corner points are significant because the maximum or minimum values of the objective function in a Linear Programming problem occur at these points.

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 evaluate the objective function at corner points.

Front

What is the maximum value of the objective function P = 3x + 2y at the point (9, 0)?

Back

The maximum value is 27, calculated by substituting x = 9 and y = 0 into the objective function.