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    Convert the LPP:add slack, surplus and Artificial variables

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    Consider the following LP problem:

    Maximize earnings = $0.80X1 + $0.40X2 + $1.20X3 ? $0.10X4
    subject to: X1 + 2X2 + X3+ 5X4= 150
    X2- 4X3 + 8X4 = 70
    6X1 + 7X2 + 2X3 ? X4 = 120
    X1,X2,X3,X4 = 0

    (a) Convert these constraints to equalities by adding the appropriate slack, surplus, or artificial variables. Also, add the new variables into the problem's objective function.
    (b) Set up the complete initial simplex tableau for this problem. Do not attempt to solve.
    (c) Give the values for all variables in this initial solution.

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    9-19 Consider the following LP problem:
    maximize earnings = $0.80X1 + $0.40X2 + $1.20X3 — $0.10X4
    subject to: X1 + 2X2 + X3+ 5X4= 150
    X2- 4X3 + 8X4 = 70
    6X1 + 7X2 + 2X3 — X4 = 120
    X1,X2,X3,X4 = 0
    (a) Convert these constraints to equalities by adding the appropriate slack, surplus, or artificial variables. Also, add the new variables into the problem's objective function.
    (b) Set up the complete initial simplex tableau for this problem. Do ...

    Solution Summary

    Convert these constraints to equalities by adding the appropriate slack, surplus, or artificial variables. Also, add the new variables into the problem's objective function.

    $2.19

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