Corner points of the feasible region determined by the system of linear constraints are (0, 3), (1, 1) and (3, 0). Let Z = px + qy, where p, q > 0.

What is the condition on p and q so that the minimum of Z occurs at (3, 0) and (1, 1)?

1
P = 2q
2
P = 3q
3
P = 1/2q
4
p = q

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