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The demand (D) of biscuits at price P is given by D = 64P3, find the marginal demand when price is Rs. 4/-. - Mathematics and Statistics

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प्रश्न

The demand (D) of biscuits at price P is given by D = `64/"P"^3`, find the marginal demand when price is Rs. 4/-.

योग

उत्तर

Given demand D =`64/"P"^3`

Now, marginal demand = `("dD")/("dP")`

=`"d"/("dP")(64/"P"^3)`

= `64"d"/("dP")("P"^-3)`

= 64 (– 3) P– 4

= `(-192)/"P"^4`

When P = 4
Marginal demand =`(("dD")/("dP"))_("P"=4)`

= `(-192)/(4)^4`

= `(-192)/256`

= `(-3)/4`

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Rules of Differentiation (Without Proof)
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Differentiation - Miscellaneous Exercise 9 [पृष्ठ १२४]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 9 Differentiation
Miscellaneous Exercise 9 | Q III. (2) | पृष्ठ १२४
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