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12th Class Mathematics Applications of Derivatives Question Bank Case Based (MCQs) - Applications of Derivatives

  • question_answer
    Directions (6 - 10)
    \[P(x)=-5{{x}^{2}}+125x+37500\] is the total profit function of a company, where x is the production of the company.
    What will be the production when the profit is maximum?

    A) 37500

    B) 12.5

    C) -12.5

    D) -37500

    Correct Answer: B

    Solution :

    \[P\left( x \right)=-5{{x}^{2}}+125x+37500\] \[P'\left( x \right)=-10x+125\] For Critical points \[P'\left( x \right)=0\Rightarrow -10x+125=0\] \[=10x=125\Rightarrow x=12\,.\,5.\]


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