COMEDK · Maths · 35. Linear Programming
The maximum of \(Z\) is where, \(Z=4 x+2 y\) subject to constraints \(4 x+2 y \geq 46, x+3 y \leq 24\) and \(x, y \geq 0\) is
- A 46
- B 96
- C 52
- D None of these
Answer & Solution
Correct Answer
(B) 96
Step-by-step Solution
Detailed explanation
The objective function is \(Z = 4x + 2y\). The constraints are: 1) \(4x + 2y \geq 46 \Rightarrow 2x + y \geq 23\) 2) \(x + 3y \leq 24\) 3) \(x, y \geq 0\) We analyze the feasible region defined by these inequalities. The line \(2x + y = 23\) passes through \((11.5, 0)\) and…
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