CUET · MATHS · PYQ PAPER 2023
The maximum value of Z = 3x + y subject to the constraints
x + y \(\le\) 7,
x \(\le\) 5,
y \(\le\) 4,
x \(\ge\) 0, y \(\ge\) 0 is:
- A 17
- B 15
- C 19
- D 13
Answer & Solution
Correct Answer
(A) 17
Step-by-step Solution
Detailed explanation
Vertices of feasible region: \( (0,0) \) \( (0,4) \) \( (3,4) \) \( (5,2) \) \( (5,0) \) Evaluate \( Z = 3x + y \): \( Z(0,0) = 3(0) + 0 = 0 \) \( Z(0,4) = 3(0) + 4 = 4 \) \( Z(3,4) = 3(3) + 4 = 9 + 4 = 13 \) \( Z(5,2) = 3(5) + 2 = 15 + 2 = 17 \) \( Z(5,0) = 3(5) + 0 = 15 \)…
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