Front

What is linear programming?

Back

It is a method for finding a maximum or minimum value of some quantity, given a set of constraints.

Front

What is the feasible region in linear programming?

Back

It is the area where all the shading overlaps when graphing constraints.

Tags

CCSS.HSA.REI.D.12

Front

What are the vertices of the feasible region?

Back

They are the corner points of the feasible region, which can be used to find the optimal solution.

Front

What does it mean if a linear programming problem is unbounded?

Back

It means that the shaded regions of the constraints do not form a closed figure, indicating no maximum value.

Tags

CCSS.8.EE.C.8B

Front

What is the objective function in linear programming?

Back

It is the function that needs to be maximized or minimized, typically expressed in terms of variables.

Tags

CCSS.HSF.IF.A.2

Front

How do you determine the maximum value of an objective function?

Back

By evaluating the objective function at the vertices of the feasible region.

Front

What is a constraint in linear programming?

Back

It is a condition that the solution must satisfy, often expressed as an inequality.

Tags

CCSS.8.EE.C.8B

Front

What is the difference between maximization and minimization in linear programming?

Back

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

Front

What role do inequalities play in linear programming?

Back

Inequalities define the constraints that limit the feasible region.

Front

What is a bounded feasible region?

Back

It is a feasible region that is enclosed and has a maximum or minimum value.

Tags

CCSS.8.EE.C.8B