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Linear Programming · Question 17 of 59

Question 17

EasyOriginal question

Which point lies in the feasible region of x+y≤6,2x+y≤8,x≥0,y≥0x + y \le 6, 2x + y \le 8, x \ge 0, y \ge 0?

Options for question 17

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. A point is feasible when it satisfies every constraint. Check (2,3)(2, 3): x+y=5x + y = 5; 2x+y=72x + y = 7.

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

Concept
Points in the feasible region
Typical time
60 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.