JEE Main & Advanced Mathematics Linear Programming Question Bank Linear Programming

  • question_answer
    A shopkeeper wants to purchase two articles A and B of cost price Rs. 4 and 3 respectively. He thought that he may earn 30 paise by selling article A and 10 paise by selling article B. He has not to purchase total article worth more than Rs. 24. If he purchases the number of articles of A and B, x and y respectively, then linear constraints are 

    A)                 \[x\ge 0,\ y\ge 0,\ 4x+3y\le 24\]              

    B)                 \[x\ge 0,\ y\ge 0,\ 30x+10y\le 24\]

    C)                 \[x\ge 0,\ y\ge 0,\ 4x+3y\ge 24\]             

    D)                 \[x\ge 0,\ y\ge 0,\ 30x+40y\ge 24\]

    Correct Answer: A

    Solution :

                    Obviously \[x,y\ge 0\]and \[4x+3y\le 24\].


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