CA Foundation P3 · Chapter 3 · Question 5 of 8
For the constraints x + 2y ≤ 8, 3x + y ≤ 9, x ≥ 0, y ≥ 0, which of the following is a corner point of the feasible region?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) (2, 3)
Explanation
The corner where the two lines meet: from x = 8 − 2y, 3(8 − 2y) + y = 9 gives 24 − 5y = 9, so y = 3 and x = 2. (3, 2) violates 3x + y ≤ 9 (gives 11), (8, 0) violates 3x + y ≤ 9 and (0, 9) violates x + 2y ≤ 8.
More Linear Inequalities MCQs
- Q7The graph of the inequality x ≥ 0 on the XY-plane is:
- Q8The number of integer values of x satisfying both 2x − 3 > 5 and 3x + 1 ≤ 22 is:
- Q1The solution set of the inequality 4x − 7 < 2x + 5 is:
- Q2The solution of −3x + 9 ≥ 0 is:
- Q3Which of the following points lies in the region defined by 2x + 3y ≤ 12, x ≥ 0, y ≥ 0?