CA Foundation · Quantitative Aptitude · Linear Inequalities
A firm makes x units of A and y units of B. Constraints: 2x + y ≤ 20, x + 2y ≤ 16, x ≥ 0, y ≥ 0. The corner point of the feasible region where both of the first two constraints hold as equalities is:
Solving 2x + y = 20 and x + 2y = 16 together gives y = 4 and x = 8. The intersection corner point is therefore (8, 4), which satisfies both equations when substituted back.
- A(6, 4)Correct
- B(8, 4)
- C(4, 6)
- D(5, 6)
Explanation
Solve 2x + y = 20 and x + 2y = 16. Doubling the second gives 2x + 4y = 32; subtracting the first gives 3y = 12, so y = 4 and x = 8. Check: 16 + 4 = 20 and 8 + 8 = 16. The point is (8, 4).
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