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The corner points of the feasible region...

The corner points of the feasible region determined by the following system of inequalities: `2 x+y le 10, x+3 y le 15, x, y ge 0` are `(0,0),(5,0),(3,4)`, and `(0,5)`. Let `Z=p x+q y`, where `p, qgt0`. 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`

A

p = q

B

p = 2q

C

p = 3q

D

q = 3p

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The correct Answer is:
D
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