Corner points of the feasible region for an LPP, are (0, 2), (3, 0), (6, 0) and (6, 8). If z = 2x + 3y is the objective function of LPP then max.(z) − min.(z) is equal to :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 30
The maximum and minimum of z occur at corner points of the feasible region. Values of z = 2x + 3y:
\(z(0, 2) = 6\)
\(z(3, 0) = 6\)
\(z(6, 0) = 12\)
\(z(6, 8) = 12 + 24 = 36\)
So max.(z) = 36 and min.(z) = 6:
\(\text{max.}(z) - \text{min.}(z) = 36 - 6 = 30\)