The feasible region (shaded) for a LPP is shown in the following figu…

The correct answer is Option (2) → 47

The shaded region is bounded by the axes and the lines x = 3 and y = 2. Its corner points are O(0, 0), A(3, 0), B(3, 2) and C(0, 2).

The maximum of z occurs at a corner point:

    \(z(0, 0) = 0\)
    \(z(3, 0) = 33\)
    \(z(3, 2) = 33 + 14 = 47\)
    \(z(0, 2) = 14\)

So the maximum value of z is 47, at B(3, 2).