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

Question:

The corner points of the feasible region in graphical representation of a L.P.P. are \((2, 72)\), \((15, 20)\) and \((40, 15)\). If \(Z = 18x + 9y\) be the objective function, then
  • A. \(Z\) is maximum at \((2, 72)\), minimum at \((15, 20)\)
  • B. \(Z\) is maximum at \((15, 20)\), minimum at \((40, 15)\)
  • C. \(Z\) is maximum at \((40, 15)\), minimum at \((15, 20)\)
  • D. \(Z\) is maximum at \((40, 15)\), minimum at \((2, 72)\)