Question:hard

Consider the following information in the context of negative production externality:

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For negative production externality, use \(SMC=PMC+MEC\). The socially efficient equilibrium is found where demand equals social marginal cost.
Updated On: Jun 5, 2026
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Correct Answer: 27.07

Solution and Explanation

Step 1: Read the private cost.
The supply curve $P=15+0.08Q$ is the private marginal cost.

Step 2: Add the external cost.
With $MEC=0.06Q$, the social marginal cost is
\[ SMC=15+0.08Q+0.06Q=15+0.14Q \]

Step 3: Set demand equal to social cost.
The efficient point has demand meeting $SMC$,
\[ 40-0.15Q=15+0.14Q \]

Step 4: Solve for quantity.
\[ 25=0.29Q\;\Rightarrow\;Q=86.21 \]

Step 5: Find the price.
\[ P=40-0.15(86.21)=40-12.93=27.07 \]
\[ \boxed{27.07} \]
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