The corner points of the bounded feasible region determined by a system of linear constraints are (0,3),(1,1) and (3,0). Let Z = px + qy, where p,q > 0. The condition on p and q so that the minimum of Z occurs at (3,0) and (1,1) is
(a) p = 2q
(b) p = q/2
(c) p = 3q
(d) p = q