COMEDK · Maths · 35. Linear Programming
The maximum value of \(Z=12 x+13 y\), subject to constraints \(x \geq 0, y \geq 0, x+y \leq 5\) and \(3 x+y \leq 9\) is
- A 117
- B 60
- C 63
- D 65
Answer & Solution
Correct Answer
(D) 65
Step-by-step Solution
Detailed explanation
The feasible region is defined by the constraints \(x \geq 0\), \(y \geq 0\), \(x + y \leq 5\), and \(3x + y \leq 9\). The corner points of the feasible region are found by solving the intersection of the boundary lines: 1. The intersection of \(x = 0\) and \(y = 0\) is…
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