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Compute the point elasticity of demand when p=40

Compute the point elasticity of demand when p=40-example-1

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Price elasticity is the change in quantity in response to change in price.
In mathematical terms,
Price elasticity of demand is dq/dp
given
q=sqrt(100-p)
dq/dp = -1/(2sqrt(100-p))

Price elasticity of demand = -1/(2sqrt(100-p))
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