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

Question:

For a Linear Programming Problem (LPP), the given objective function is \(Z=x+2y\). The feasible region PQRS determined by the set of constraints is shown as a shaded region in the graph. \(P\equiv(\frac{3}{13},\frac{24}{13})\) \(Q\equiv(\frac{3}{2},\frac{15}{4})\) \(R\equiv(\frac{7}{2},\frac{3}{4})\) \(S\equiv(\frac{18}{7},\frac{2}{7})\). Which of the following statements is correct?
  • A. Z is minimum at \(S(\frac{18}{7},\frac{2}{7})\)
  • B. Z is maximum at \(R(\frac{7}{2},\frac{3}{4})\)
  • C. (Value of Z at P) > (Value of Z at Q)
  • D. (Value of Z at Q) < (Value of Z at R)