If the objective function for an LPP is max.(z) = 300x + 700y and the corner points for the bounded feasible region are (6,0) (5,0) (0,6) (4,4) and (0,4), then the maximum values of z occurs at:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (0,6)
For a bounded feasible region, the maximum of z is reached at one of the corner points. Values of z = 300x + 700y:
\(z(6, 0) = 1800\)
\(z(5, 0) = 1500\)
\(z(0, 6) = 4200\)
\(z(4, 4) = 1200 + 2800 = 4000\)
\(z(0, 4) = 2800\)
The largest value is 4200, so the maximum of z occurs at (0, 6).