JEE Main & Advanced Mathematics Linear Programming Question Bank Critical Thinking

  • question_answer A company manufactures two types of products A and B. The storage capacity of its godown is 100 units. Total investment amount is Rs. 30,000. The cost price of A and B are Rs. 400 and Rs. 900 respectively. If all the products have sold and per unit profit is Rs. 100 and Rs. 120 through A and B respectively. If x units of A and y units of B be produced, then two linear constraints and iso-profit line are respectively 

    A)                 \[x+y=100;\ 4x+9y=300,\ 100x+120y=c\]

    B)                 \[x+y\le 100;\ 4x+9y\le 300,\ x+2y=c\]

    C)                 \[x+y\le 100;\ 4x+9y\le 300,\ 100x+120y=c\]

    D)                 \[x+y\le 100;\ 9x+4y\le 300,\ x+2y=c\]

    Correct Answer: C

    Solution :

               \[x+y\le 100,400x+900y\le 30000\]or                                 \[4x+9y\le 300\]and \[100x+120y=c\].

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