Question

An LP problem has a bounded feasible region, if this problem has an equality constraint, then * (1 Point) This must be a minimization problem. The feasible region must consist of a line segmen The problem must be degenerate The problem must have more than one optimal solution

Answer 1

An LP problem with a bounded feasible region and an equality constraint does not have to be a minimization problem. The presence of an equality constraint may result in a line segment in the feasible region. The problem may have more than one optimal solution depending on the properties of the objective function and the constraint.

Step-by-step explanation:

If an LP problem has a bounded feasible region and an equality constraint, it does not necessarily have to be a minimization problem. The objective function of the problem determines whether it is a minimization or maximization problem.

The feasible region will consist of a line segment if the equality constraint is a linear equation. The problem may have more than one optimal solution if the objective function is linear and parallel to the constraint line.

However, if the objective function is not linear or not parallel to the constraint line, the problem will typically have a unique optimal solution.