EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Linear Programming · Question 53 of 59

Question 53

MediumOriginal question

Read the two statements and choose the correct option.

I. If the feasible region is unbounded, the objective function may still have a minimum.

II. If the feasible region is empty, the problem has no optimal solution.

Options for question 53

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. I: a cost such as Z=2x+3yZ = 2x + 3y over x+y≥4x + y \ge 4 has the minimum 8, though the region is unbounded. True.

  2. II: with no feasible point there is nothing to optimise. True.

Concept
Bounded and unbounded regions
Typical time
90 s
Your time
—
The rule this testsUnbounded and infeasible problems
Practise this chapter →

Ten questions from Linear Programming, at your own pace.

Practise this chapter →

Ten questions from Linear Programming, at your own pace.