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    The corner points of the feasible region determined by the following system of linear inequalities 2x + y≤10, x +3y≤15, x, y ≥0 are (0, 0), (5, 0), (3
    Question

    The corner points of the feasible region determined by the following system of linear inequalities 2x + y≤10, x +3y≤15, x, y ≥0 are (0, 0), (5, 0), (3, 4) and (0, 5). Let z= px + qy where p and q > 0.
    The 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

    Correct option is D

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