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.

Tags

CCSS.8.EE.C.8B

Front

What is a feasible region in Linear Programming?

Back

The feasible region is the area on a graph where all the constraints of a linear programming problem overlap. It represents all possible solutions.

Tags

CCSS.HSA.REI.D.12

Front

What does the objective function represent in Linear Programming?

Back

The objective function is the function that needs to be maximized or minimized in a linear programming problem, typically representing profit or cost.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Front

What are constraints in Linear Programming?

Back

Constraints are the inequalities that define the limits within which the solution must lie in a linear programming problem.

Tags

CCSS.8.EE.C.8B

Front

How do you write a system of inequalities?

Back

A system of inequalities consists of two or more inequalities that represent the constraints of a linear programming problem.

Front

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

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

How do you determine the maximum profit in a Linear Programming problem?

Back

To determine the maximum profit, evaluate the objective function at each corner point of the feasible region and choose the highest value.

Front

What is the graphical method in Linear Programming?

Back

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

Tags

CCSS.8.EE.C.8B

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (e.g., < or >) does not include the boundary, while a non-strict inequality (e.g., ≤ or ≥) includes the boundary.

Tags

CCSS.6.EE.B.8

Front

What does it mean to maximize an objective function?

Back

To maximize an objective function means to find the highest possible value of that function within the constraints of the problem.