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Mathematics · 2013

JEE Main 2013 · 2013-04-07 Offline · Q4

At present, a firm is manufacturing 2000 items. It is estimated that the rate of change of production P w.r.t. additional number of workers x is…

At present, a firm is manufacturing $\displaystyle 2000$ items. It is estimated that the rate of change of production P w.r.t. additional number of workers $\displaystyle x$ is given by $\displaystyle \frac{\mathrm{dP}}{\mathrm{d} x}=100-12 \sqrt{x}$. If the firm employs $\displaystyle 25$ more workers, then the new level of production of items is :
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.