Linear Programming · Class 12 · CBSE · Science Mathematics
Find the maximum value of Z = 3x + 2y subject to x + y ≤ 4, x ≤ 2, y ≤ 3, x ≥ 0 and y ≥ 0.
Practice question from Linear Programming (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
medium · MCQ · Q-8366FE
Find the maximum value of Z = 3x + 2y subject to x + y ≤ 4, x ≤ 2, y ≤ 3, x ≥ 0 and y ≥ 0.
- A.6
- B.9
- C.10Correct answer
- D.12
Solution
The corner points of the feasible region are (0, 0), (2, 0), (2, 2), (1, 3), and (0, 3). The corresponding values of Z are 0, 6, 10, 9, and 6, respectively. Therefore, the maximum value is 10.
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