In what scenario would the LP model allow decision variables to take on non-integer values?
Understand the Problem
The question is asking about the conditions under which a Linear Programming (LP) model permits decision variables to assume non-integer values. This centers on the concept of the divisibility assumption in LP.
Answer
When decision variables are continuous.
The LP model allows decision variables to take on non-integer values when the decision variables are defined as continuous. This means they are not restricted to integer values and can take any value within the feasible region defined by the constraints.
Answer for screen readers
The LP model allows decision variables to take on non-integer values when the decision variables are defined as continuous. This means they are not restricted to integer values and can take any value within the feasible region defined by the constraints.
More Information
In linear programming, decision variables are often continuous, meaning they can take on any non-negative value. This flexibility can simplify the problem and make it easier to solve using standard linear programming techniques.
Sources
- Linear Programming - uky.edu
