KCET · Maths · Linear Programming
The maximum value of \(z=3 x+4 y\), subject to the constraints \(x+y \leq 40, x+2 y \leq 60\) and \(x, y \geq 0\) is
- A \(130\)
- B \(120\)
- C \(140\)
- D \(40\)
Answer & Solution
Correct Answer
(C) \(140\)
Step-by-step Solution
Detailed explanation
\(\begin{gathered}z=3 x+4 y \\ x+y \leq 40 \\ x+2 y \leq 60 \\ y=20 \\ x=20\end{gathered}\)
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