The corner points of the feasible region determined by inequalities of LPP are (4, 10), (6, 8) and (6, 5). Let \(z = 3x+4y\) be the objective function. Then the sum of maximum value of z and minimum value of z is :
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 90
For a bounded feasible region the maximum and minimum occur at corner points:
\(z(4, 10) = 12 + 40 = 52\)
\(z(6, 8) = 18 + 32 = 50\)
\(z(6, 5) = 18 + 20 = 38\)
Maximum = 52 and minimum = 38, so the sum is
\(52 + 38 = 90\)