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Linear Programming · Question 22 of 59

Question 22

MediumOriginal question

Which point lies in the feasible region of x+2y≤8,x+y≥3,x≥0,y≥0x + 2y \le 8, x + y \ge 3, x \ge 0, y \ge 0?

Options for question 22

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. A point is feasible when it satisfies every constraint. Check (2,2)(2, 2): x+2y=6x + 2y = 6; x+y=4x + y = 4.

  2. Each of the other points breaks at least one constraint.

Concept
Points in the feasible region
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.