AFDA CW3 - Linear Programming

Front

What are the vertices of the feasible region in linear programming?

Back

(0, 0), (0, 6), (6, 2), (8, 0)

Front

What is the feasible region in the context of linear programming?

Back

The area where all the shading overlaps when graphing constraints.

Front

How do you identify the feasible region when graphing constraints?

Back

By finding the area where all constraints intersect and overlap.

Front

What is an objective function in linear programming?

Back

A mathematical expression that defines the goal of the optimization problem, typically to maximize or minimize a quantity.

Front

What is the objective function for Sarah's profit from selling purses?

Back

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

Front

What does it mean to maximize an objective function?

Back

To find the values of the decision variables that yield the highest possible value of the objective function.

Front

What is the significance of the coordinates (9, 0) in the context of maximizing the objective function P = 3x + 2y?

Back

It represents the values of x and y that maximize the objective function.

Front

What is a constraint in linear programming?

Back

A condition that the solution must satisfy, often represented as linear inequalities.

Front

How do you graph a linear constraint?

Back

By plotting the line represented by the equation and shading the appropriate side based on the inequality.

Front

What is the role of vertices in the feasible region?

Back

Vertices are potential candidates for optimal solutions in linear programming.