MHT CET · Maths · Linear Programming
The shaded area in the figure below is the solution set for a Certain Linear Programming problem. The linear constraints are given by
- A \(3 x+4 y \leq 18,2 x+3 y \geq 3, x-6 y \geq 3,-x+2 y\) \(\leq 2, x \geq 0, y \geq 0\)
- B \(3 x+4 y \leq 18,2 x+3 y \geq 3, x-6 y \leq 3,-x+2 y\) \(\leq 2, x \geq 0, y \geq 0\)
- C \(3 x+4 y \leq 18,2 x+3 y \geq 3, x-6 y \geq 3,-x+2 y\) \(\geq 2, x \geq 0, y \geq 0\)
- D \(3 x+4 y \leq 18,2 x+3 y \leq 3, x-6 y \geq 3,-x+2 y\) \(\leq 2, x \geq 0, y \geq 0\)
Answer & Solution
Correct Answer
(B) \(3 x+4 y \leq 18,2 x+3 y \geq 3, x-6 y \leq 3,-x+2 y\) \(\leq 2, x \geq 0, y \geq 0\)
Step-by-step Solution
Detailed explanation
The shaded region is represented by
\(3 x+4 y \leq 18,2 x+3 y \geq 3, x-6 y \leq 3,-x+2 y\) \(\leq 2, x \geq 0, y \geq 0\)
\(3 x+4 y \leq 18,2 x+3 y \geq 3, x-6 y \leq 3,-x+2 y\) \(\leq 2, x \geq 0, y \geq 0\)
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