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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

The Total Revenue R = 720 - 3x2 Where X is Number of Items Sold. Find X for Which Total Revenue R is Increasing. - Mathematics and Statistics

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प्रश्न

The total revenue R = 720 - 3x2 where x is number of items sold. Find x for which total  revenue R is increasing.

बेरीज

उत्तर

R = 720x - 3x2

`(dR)/(dx)` = 720 - 6x
Total revenue R is increasing if `(dR)/(dx)` > 0.
i.e; if 720 - 6x > 0
     if 720 > 6x
i.e; if 120 > x
∴ R is increasing for 120 > x.

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2015-2016 (March)

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