The corner points of the feasible region determined by the following system of linear inequalities $ 2 x+y \leq 10, x+3 y \leq 15, x, y \geq 0 $ are $ (0,0),(5,0),(3,4) $ and $ (0,5) $. Let $ Z=p x+q y $, where $ p, q0 $. Condition on $ p $ and $ q $, so that the maximum of $ Z $ occurs at both $ (3,4) $ and $ (0,5) $, is

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The corner points of the feasible region determined by the following system of linear inequalities $ 2 x+y \leq 10, x+3 y \leq 15, x, y \geq 0 $ are $ (0,0),(5,0),(3,4) $ and $ (0,5) $. Let $ Z=p x+q y $, where $ p, q>0 $. Condition on $ p $ and $ q $, so that the maximum of $ Z $ occurs at both $ (3,4) $ and $ (0,5) $, is

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