Question:

Use the simplex method & solve step by step.?

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The ABC company combines factors X & Y TO FROM a product which must weigh 50 kg of X & no more than 40 kg of Y can be used. X cost Rs. 25/kg & Y cost Rs. 10/kg. Use the simplex method to find the amounts of factor X& Y. which should be used for manufacturing the concerned product.

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  1. I can formulate the LP for you, but I won't be able to solve it for you because I can't draw any tableaux here on Yahoo! Answers.

    I'm assuming you want to minimize cost.

    LP Formulation:

    Let X be the weight of X

    Let Y be the weight of Y

    Minimize 25x + 10y

    Subject To:

    X = 50

    0 ≤ Y ≤ 40

    Now just use the Simplex Method to solve the LP.

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