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JEE Main & Advanced Mathematics Linear Programming Question Bank Self Evaluation Test - Linear Programming

  • question_answer
    A company manufactures two types of products A and B. The storage capacity of its go down is 100 units. Total investment amount is 30,000. The cost price of A and B are 400 and 900 respectively. Suppose all the product have sold and per unit profit is 100 and 120 through A and B respectively. If X units of A and Y units of B be produced, then two linear constraints and is 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 :

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


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