Let \(R\) be the feasible region for a l

CUET Preparation Today

Start Free Mocks

Home Questions 7SVCGX9NDT

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

Let \(R\) be the feasible region for a linear programming problem, and let \(z=ax+by\) be the objective function. Which of the following is true.

Options:

If \(R\) is bounded then the objective function has a maximum and may not have a minimum value on \(R\).

If \(R\) is bounded then the objective function neither have a maximum and nor minimum value on \(R\).

If \(R\) is unbounded then the objective function has a maximum and a value on \(R\).

None of these

Correct Answer:

None of these

Explanation:

\(R\) bounded implies both maximum and minimum value on \(R\).