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JEE Main & Advanced Mathematics Equations and Inequalities Question Bank Self Evaluation Test - Linear Inequalities

  • question_answer
    A company manufactures cassettes. Its cost and revenue functions are \[C(x)=26000+30x\] and \[R(x)=43x,\] respectively, where x is the number of cassettes produced and sold in a week. The number of cassettes must be sold by the company to realise some profit, is

    A) More than 2000

    B)        Less than 2000

    C) More than 1000

    D)        Less than 1000

    Correct Answer: A

    Solution :

    [a] Given, \[C(x)=26000+30x\]and \[R(x)=43x\] \[\therefore \] Profit \[=R(x)-C(x)=43x-(26000+30x)\] \[=13x-26000\] For some profit, \[13x-26000>0\] \[\Rightarrow 13x>26000\]                       \[\Rightarrow x>2000\]


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