JEE Main & Advanced Mathematics Linear Programming Question Bank Critical Thinking

  • question_answer The L.P. problem Max\[z={{x}_{1}}+{{x}_{2}}\] such that \[-2{{x}_{1}}+{{x}_{2}}\le 1,\ {{x}_{1}}\le 2,\ {{x}_{1}}+{{x}_{2}}\le 3\] and \[{{x}_{1}},\ {{x}_{2}}\ge 0\] has   

    A)                 One solution     

    B)                 Three solution

    C)                 An infinite no. of solution

    D)                 None of these

    Correct Answer: C

    Solution :

                    Objective function is same as constraint so there are infinite solutions possible.

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