The corner points of the feasible region for an LPP are (0, 4), (2, 3), (4, 5), (7,0). If objective function is $Z= px+ qy ;p, q > 0$ then the condition on p and q so that the minimum of Z occurs at (2, 3) and (7,0) is :

$7p=4q$ $5p=3q$ $4p=q$ $3p=5q$

$5p=3q$