The corner points of the shaded unbounded feasible region of an LPP are (0, 4), (0.6, 1.6) and (3, 0)……………

Question 1:The corner points of the shaded unbounded feasible region of an LPP are (0, 4), (0.6, 1.6) and (3, 0) as shown in the figure. The minimum value of the objective function Z = 4x + 6y occurs at

(a)(0.6, 1.6) 𝑜𝑛𝑙𝑦 (b) (3, 0) only (c) (0.6, 1.6) and (3, 0) only
(d) at every point of the line-segment joining the points (0.6, 1.6) and (3, 0)

The correct answer is -(d) The minimum value of the objective function occurs at two adjacent corner points (0.6, 1.6) and (3, 0) and there is no point
in the half plane 4𝑥 + 6𝑦 < 12 in common with the feasible
region. So, the minimum value occurs at every point of the linesegment joining the two points.