The objective function of an LPP is \(Z = ax + by\). If the maximum value of the objective function is 180, which occurs at two points (15, 15) and (0, 20), then which one of the following is true?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(a = 3, b = 9\)
Since the maximum value 180 occurs at both points, Z equals 180 at each of them:
At (0, 20): \(20b = 180,\quad b = 9\)
At (15, 15): \(15a + 15b = 180,\quad a + b = 12\)
\(a = 12 - 9 = 3\)
NCERT Exemplar:
Linear Programming
