If objective function \(Z=px+qy\) is maximum at (2, −2) and maximum value is 8, such that \(p=3q\), then the values of p and q are respectively :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 6, 2
The maximum value 8 is the value of Z at (2, −2):
\(Z(2, -2) = 2p-2q = 8\)
\(p-q = 4\)
Putting \(p = 3q\):
\(3q-q = 4\)
\(q = 2,\quad p = 6\)
Check: \(Z(2,-2) = 6(2)+2(-2) = 12-4 = 8\).