EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Linear Programming · Question 25 of 59

Question 25

MediumOriginal question

Is the feasible region of x+y≥3x + y \ge 3, x≤4x \le 4, y≤5y \le 5, x≥0x \ge 0, y≥0y \ge 0 bounded?

Options for question 25

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. x≤4x \le 4 and y≤5y \le 5 keep every point inside the box 0≤x≤40 \le x \le 4, 0≤y≤50 \le y \le 5.

  2. x+y≥3x + y \ge 3 only cuts off the corner near the origin, so the region is a bounded polygon.

Worth noting

A '≥\ge' constraint does not by itself make a region unbounded; here the box closes it.

Concept
Bounded and unbounded regions
Typical time
90 s
Your time
—
The rule this testsThe feasible region
Practise this chapter →

Ten questions from Linear Programming, at your own pace.

Practise this chapter →

Ten questions from Linear Programming, at your own pace.