CA Foundation · Quantitative Aptitude · Linear Inequalities
A firm makes x units of product M and y units of product N. Each unit of M needs 2 hours of machine time and each unit of N needs 3 hours. Only 24 machine hours are available. Which of the following production plans is feasible?
This item is invalid because more than one option satisfies 2x + 3y ≤ 24.
- Ax = 6, y = 4
- Bx = 9, y = 2
- Cx = 3, y = 6Correct
- Dx = 4, y = 5
Explanation
The constraint is 2x + 3y ≤ 24. Option 1 uses 12 + 12 = 24, which is feasible. Option 3 uses 6 + 18 = 24, also feasible. So several options fit, and the question is flawed.
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