Linear Programming

Front

What is Linear Programming?

Back

Linear Programming is a method for finding the maximum or minimum value of a function, subject to a set of constraints.

Front

What does the objective function represent in Linear Programming?

Back

The objective function represents the quantity that needs to be maximized or minimized, often expressed in terms of variables.

Front

What are constraints in Linear Programming?

Back

Constraints are the conditions or limitations that the solution must satisfy, often expressed as inequalities.

Front

What is the feasible region 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 represent a system of equations for a Linear Programming problem?

Back

A system of equations can be represented using variables to denote quantities and equations to express relationships, such as total quantity or cost.

Front

What is the significance of the corner points in the feasible region?

Back

Corner points 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 involves plotting the constraints on a graph to visualize the feasible region and identify the optimal solution.

Front

How do 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 objective function for Sarah's purse-making problem?

Back

P = 30x + 50y, where x is the number of small purses and y is the number of big purses.

Front

What is the maximum number of 80-pound packages that can be carried if the van must carry at least 20 packages and not exceed 1500 pounds?

Back

The maximum number of 80-pound packages is 16.