COMEDK · Maths · 35. Linear Programming
The maximum value of \(Z=10 x+16 y\), subject to constraints \(x \geq 0, y \geq 0, x+y \leq 12,2 x+y \leq 20\) is
- A 144
- B 192
- C 240
- D 120
Answer & Solution
Correct Answer
(B) 192
Step-by-step Solution
Detailed explanation
The feasible region is defined by the constraints \(x \geq 0\), \(y \geq 0\), \(x + y \leq 12\), and \(2x + y \leq 20\). The corner points of the feasible region are found by solving the intersection of the boundary lines: 1. Intersection of \(x=0\) and \(y=0\) gives \((0, 0)\).…
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