Linear Programming Review

Front

What is the objective function in linear programming?

Back

The objective function is a mathematical expression that defines the goal of the linear programming problem, typically to maximize or minimize a quantity, such as profit or cost.

Front

What are constraints in linear programming?

Back

Constraints are the restrictions or limitations imposed on the variables in a linear programming problem, defining the feasible region.

Front

How do you represent profit in a linear programming problem involving two products?

Back

Profit can be represented as P = ax + by, where a and b are the profits from each product, and x and y are the quantities of each product.

Front

What is a feasible region in linear programming?

Back

The feasible region is the set of all points that satisfy all of the problem's resource restrictions, represented graphically as a polygon.

Front

What does it mean to maximize profit in linear programming?

Back

Maximizing profit means finding the values of the decision variables that yield the highest possible profit while satisfying all constraints.

Front

What is the significance of corner points in linear programming?

Back

Corner points (or vertices) of the feasible region are significant because the optimal solution to a linear programming problem will always occur at one of these points.

Front

How do you determine the optimal solution in a linear programming problem?

Back

The optimal solution is determined by evaluating the objective function at each corner point of the feasible region and selecting the point that yields the highest (or lowest) value.

Front

What is the role of decision variables in linear programming?

Back

Decision variables are the unknowns in a linear programming problem that represent the quantities to be determined, such as the number of products to produce.

Front

What is the graphical method in linear programming?

Back

The graphical method involves plotting the constraints on a graph to identify the feasible region and then evaluating the objective function at the corner points.

Front

What is the difference between a bounded and unbounded feasible region?

Back

A bounded feasible region is enclosed and has limits, while an unbounded feasible region extends infinitely in at least one direction.