COMEDK · Maths · 35. Linear Programming
The maximum value of \(x+y\) subject to \(2 x+3 y \leq 6, x \geq 0, y \geq 0\) is
- A 5
- B 4
- C 6
- D 3
Answer & Solution
Correct Answer
(D) 3
Step-by-step Solution
Detailed explanation
The objective function is \(Z = x + y\). The constraints are \(2x + 3y \leq 6\), \(x \geq 0\), and \(y \geq 0\). The feasible region is a triangle with vertices at the origin \((0, 0)\), the x-intercept of the line \(2x + 3y = 6\) which is \((3, 0)\), and the y-intercept of the…
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