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The correct points of the feasible regio...

The correct points of the feasible region determined by the following system of linear inequalities, `2x+y le 10, x+3y le 15, x, y ge 0`, are (0, 0), (5, 0), (3, 4) and (0, 5). Let Z = px + qy, where `p, q gt 0`. Condition on p and q so that the maximum of Z occurs at both (3, 4) and (0, 5) is ..........

A

q = 3p

B

p = 3q

C

p = q

D

q = 2p

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