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    Objective function z=200x+500y, subject to the constrains x+2y≥10, 3x+4y≤24, x≥0, y≥0, the minimum value of z is:
    Question

    Objective function z=200x+500y, subject to the constrains x+2y≥10, 3x+4y≤24, x≥0, y≥0,
    the minimum value of z is:

    A.

    2500

    B.

    3000

    C.

    0

    D.

    2300

    Correct option is D

    Given
    z=200x+500y
    Subject to
    x+2y=10 ………………………….. (i)
    3x+4y=24 ………………………….(ii)
    From equation (i) & (ii), we get
    (10, 0), (0, 5), (8, 0)& (0, 6)

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