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Find the elasticity of supply when the supply function is given by x = 2p2 + 5 at p = 1. - Business Mathematics and Statistics

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प्रश्न

Find the elasticity of supply when the supply function is given by x = 2p2 + 5 at p = 1.

योग

उत्तर

Given x = 2p2 + 5

Differentiating with respect to 'p' we get,

`"dx"/"dp"` = 4p 

Elasticity of Supply

`eta_s = "p"/x * "dx"/"dp"`

`=> eta_s = "p"/(2"p"^2 + 5)`(4p)

`= (4"p"^2)/(2"p"^2 + 5)`

when p = 1, `eta_s = (4(1)^2)/(2(1^2) + 5) = 4/(2 + 5) = 4/7`

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Applications of Differentiation in Business and Economics
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Applications of Differentiation - Miscellaneous Problems [पृष्ठ १५६]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
अध्याय 6 Applications of Differentiation
Miscellaneous Problems | Q 3 | पृष्ठ १५६
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