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    The corner points of the feasible region determined by x+y≤8, 2x+y≥8, x≥0, y≥0 are A (0, 8), B (4, 0) and C (8, 0). If the objective function Z =
    Question

    The corner points of the feasible region determined by
    x+y≤8, 2x+y≥8, x≥0, y≥0
    are A (0, 8), B (4, 0) and C (8, 0). If the objective function Z = ax + by has its maximum value on the line segment AB, then the relation between a and b is:

    A.

    8a+4=b

    B.

    a=2b

    C.

    b=2a

    D.

    8b+4=a

    Correct option is B

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