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Find the elasticity of supply for the supply function x = 2p2 + 5 when p = 3. - Business Mathematics and Statistics

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प्रश्न

Find the elasticity of supply for the supply function x = 2p2 + 5 when p = 3.

बेरीज

उत्तर

x = 2p2 + 5

`"dx"/"dp" = 2 xx 2p + 0 = 4p`

Elasticity of supply: ηs = `"p"/x * "dx"/"dp"`

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

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

When p = 3, elasticity of supply, ηs = `(4 xx 3^2)/(2(3)^2 + 5)`

`= (4 xx 9)/(18 + 5)`

`= 36/23`

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Applications of Differentiation in Business and Economics
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पाठ 6: Applications of Differentiation - Exercise 6.1 [पृष्ठ १३९]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
पाठ 6 Applications of Differentiation
Exercise 6.1 | Q 6 | पृष्ठ १३९
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