COMEDK · Maths · 35. Linear Programming
Write the solution of the following LPP
Maximise \(Z=x+y\)
Subject to \(3 x+4 y \leq 12, x \geq 0, y \geq 0\).
Which point the value of \(Z\) is maximum?
- A \((0,4)\)
- B \((4,0)\)
- C \((6,0)\)
- D \((0,6)\)
Answer & Solution
Correct Answer
(B) \((4,0)\)
Step-by-step Solution
Detailed explanation
The objective function is \(Z = x + y\). The constraints are \(3x + 4y \leq 12\), \(x \geq 0\), and \(y \geq 0\). The feasible region is a triangle with vertices at the origin \((0,0)\), the x-intercept of the line \(3x + 4y = 12\), and the y-intercept of the line…
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