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Consider a competitive market in which the MPB = 129–3q and the MSC =3q. In this market, however, there is a positive consumption externality of $50 per unit consumed. What is the efficient level of output in this market?

Question

Consider a competitive market in which the MPB = 129–3q and the MSC =3q. In this market, however, there is a positive consumption externality of $50 per unit consumed. What is the efficient level of output in this market?

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Solution

To find the efficient level of output in this market, we need to account for the positive consumption externality. This means that the marginal social benefit (MSB) is higher than the marginal private benefit (MPB) by $50 per unit.

Step 1: Calculate the MSB Since there is a positive consumption externality of $50, we add this to the MPB to get the MSB. So, MSB = MPB + Externality = 129 - 3q + 50.

Step 2: Set the MSB equal to the MSC to find the efficient level of output The efficient level of output is where the marginal social cost (MSC) equals the marginal social benefit (MSB). So, we set MSB = MSC and solve for q.

129 - 3q + 50 = 3q 179 = 6q q = 179 / 6 q = 29.83

So, the efficient level of output in this market is approximately 29.83 units.

This problem has been solved

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