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price P for demand D is given as P = 183 +120D - 3D2 Find D for which the price is increasing

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प्रश्न

Price P for demand D is given as P = 183 +120D - 3D2 Find D for which the price is increasing

बेरीज
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उत्तर

Price function P is given by

`"P" = 183 + 120"D" - 3"D"^2`

Differentiating w.r.t. D

`"dP"/"dD"=120-6D`

If price is increasing then we have `"dP"/"dD">0`

∴ 120 - 6D > 0

∴ 6D < 120

∴ D < 20

∴ The price is increasing for D < 20.

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पाठ 4: Applications of Derivatives - Exercise 4.4 [पृष्ठ ११२]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 4 Applications of Derivatives
Exercise 4.4 | Q 2 | पृष्ठ ११२

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