Q.3 (A) (i) If the demand function is D=50-3p-p² , find the elasticity of demand at p=5 . Comment on the result.

Answer: η=6.5gt 1 ; demand is elastic. dD/dp=-3-2p . At p=5 : D=50-15-25=10 and dD/dp=-13 . η=-p/D·dD/dp=-5/10(-13)=6.5 Comment: since ηgt 1 , the demand is elastic at p=5 ; a small change in price causes a relatively larger change in demand.

If the demand function is \(D=50-3p-p^2\), find the elasticity of demand at \(p=5\). Comment on the result.

Q.3 (A) (i) If the demand function is \(D=50-3p-p^2\), find the elasticity of demand at \(p=5\). Comment on the result.

Doubtly Asked 28 Oct 2026 Board exam · March 2026 hsc 12th Save WhatsApp Report

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Answer: \(\eta=6.5\gt 1\); demand is elastic.

\(\frac{dD}{dp}=-3-2p\). At \(p=5\): \(D=50-15-25=10\) and \(\frac{dD}{dp}=-13\).

\(\eta=-\frac{p}{D}\cdot\frac{dD}{dp}=-\frac{5}{10}(-13)=6.5\)

Comment: since \(\eta\gt 1\), the demand is elastic at \(p=5\); a small change in price causes a relatively larger change in demand.

Doubtly AI · 28 Oct 2026 AI-verified · Oct 2026 Report

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If the demand function is \(D=50-3p-p^2\), find the elasticity of demand at \(p=5\). Comment on the result.

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