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

Solution

,