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12th Class Mathematics Linear Programming Question Bank Case Based (MCQs) - Linear Programming

  • question_answer
    Maximum of Z - Minimum of Z =

    A) 58

    B) 68

    C) 78

    D) 88

    Correct Answer: B

    Solution :

    Construct the following table of values of objective function
    Corner Points Value of \[Z=6x+3y\]
    (0, 3) (5, 0) (6, 8) (0, 8) \[4\times 0-6\times 3=-18\] \[4\times 5-6\times 0=20\] \[4\times 6-6\times 8=-24\] \[4\times 0-6\times 8=-48\]
    Maximum of Z - Minimum of \[Z\text{ }=20-\left( -48 \right)\] = 20 + 48 = 68


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