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MHT CET · Maths · Linear Programming

The region represented by the inequations \(2 x+3 y \leqslant 18, x+y \geqslant 10, x \geqslant 0, y \geqslant 0\) is

  1. A unbounded
  2. B bounded region, but not a singleton set
  3. C singleton set
  4. D null set
Verified Solution

Answer & Solution

Correct Answer

(D) null set

Step-by-step Solution

Detailed explanation


Feasible region lies on the origin side of . \(2 x+3 y=18\) and non-origin side of \(x+y=10\).
\(\therefore \quad\) Feasible region is a null set.