Corner points of the feasible region determined by the system of li...

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Corner points of the feasible region determined by the system of linear constraints are \( (0,3),(1,1) \) and \( (3,0) \). Let \( \mathrm{Z}=p x+q y \), where \( p, q0 \). Condition
\( \mathrm{P} \) on \( p \) and \( q \) so that the minimum of \( Z \) occurs at \( (3,0) \) and \( (1,1) \) is

W)
(A) \( p=2 q \)
(B) \( p=\frac{q}{2} \)
(C) \( p=3 q \)
(D) \( p=q \)
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