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The corner points of the feasible regio...

The corner points of the feasible region determined by the following sytem of linear inequalities:
`2x+yle10, 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=3q`

D

`q=3p`

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