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The corner points of the feasible region determined

The corner points of the feasible region determined The corner points of the feasible region determined by the following system of linear inequalities: `2x+yge10, x+3yle15,x,yge0` are `(0,0),(5,0),(3,4)` and `(0,5)`. Let `Z=px+qy`, where `p,qge0`. Condition on `p` and `q` so that the maximum of `Z` occurs at both `(3,4)` and `(0,5)` is: (a) `p=q` (b) `p=2q` (c) `p=eq` (d) `q=3p`

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