ID: Class: 12 Subject: Math Topic: Linear Programming Type: Mcq Year: 2025

Question:

In a Linear Programming Problem (LPP), the objective function \(Z=2x+5y\) is to be maximised under the following constraints: \(x+y\le4\), \(3x+3y\ge18\), \(x, y\ge0\). Study the graph and select the correct option. The solution of the given LPP:
  • A. lies in the shaded unbounded region.
  • B. lies in \(\Delta AOB\).
  • C. does not exist.
  • D. lies in the combined region of \(\Delta AOB\) and unbounded shaded region.