JEE Main & Advanced Mathematics Linear Programming Question Bank Critical Thinking

  • question_answer The minimum value of the objective function \[z=2x+10y\] for linear constraints \[x\ge 0,\ y\ge 0\], \[x-y\ge 0\], \[x-5y\le -5\], is

    A)                 10          

    B)                 15

    C)                 12          

    D)                 8

    Correct Answer: B

    Solution :

               Required region is unbounded whose vertex is \[\left( \frac{5}{4},\frac{5}{4} \right)\]. Hence the minimum value of objective function is \[=2\times \frac{5}{4}+10\times \frac{5}{4}=15\].

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