Question: QUESTION 1 Consider the following primal LP model: Minimize z = 6x 1 + 3x 2 Subject to: 6x 1 - 3x 2 + x

QUESTION 1

  1. Consider the following primal LP model:

    Minimize z = 6x1 + 3x2

    Subject to:

    6x1 - 3x2 + x3 2

    3x1 + 4x2 + x3 5

    x1, x2, x3 0

    Select the correct dual LP model of the above primal:

    Maximize w = 2y1 + 5y2

    Subject to:

    6y1 + 3y2 6

    -3y1 + 4y2 3

    y1 + y2 0

    y1 0

    y2 0

    Maximize w = 2y1 + 5y2

    Subject to:

    6y1 + 3y2 6

    -3y1 + 4y2 3

    y1 + y2 0

    y1 0

    y2 0

    Maximize w = 2y1 + 5y2

    Subject to:

    6y1 + 3y2 6

    -3y1 + 4y2 3

    y1 + y2 0

    y1 0

    y2 0

    Maximize w = 2y1 + 5y2

    Subject to:

    6y1 + 3y2 6

    -3y1 + 4y2 3

    y1 + y2 0

    y1 unrestricted

    y2 unrestricted

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