Evaluating Policy Responses to a Negative Externality
A toy manufacturer's private cost of production is described by the function C(Q) = 2Q² + 2Q + 5, and its production process creates an external cost to society given by EC(Q) = (1/6)Q³ + (1/2)Q². The toys are sold at a constant market price of $50 per unit.
A government regulator is considering two policy options to address the externality:
- Mandate that the firm produce at a specific quantity (a command-and-control approach).
- Impose a corrective per-unit tax on production (a market-based approach).
Evaluate these two policies. Your evaluation should first determine the specific quantity mandate or tax value required to achieve the socially optimal outcome. Then, compare the policies based on economic efficiency and the information a regulator would need to implement them successfully.
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A toy manufacturer has a private cost function of C(Q) = 2Q² + 2Q + 5 and sells its product at a market price of $50. The production process creates a negative external cost for society, described by the function EC(Q) = (1/6)Q³ + (1/2)Q². By how many units does the firm's profit-maximizing output exceed the socially optimal output?
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A toy manufacturer's private cost of production is described by the function C(Q) = 2Q² + 2Q + 5, and its production process creates an external cost to society given by EC(Q) = (1/6)Q³ + (1/2)Q². The toys are sold at a constant market price of $50 per unit.
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Evaluating Policy Responses to a Negative Externality
A toy manufacturer's production process is described by a private cost function C(Q) = 2Q² + 2Q + 5 and generates an external cost to society of EC(Q) = (1/6)Q³ + (1/2)Q². The toys are sold at a constant market price of $50 per unit. What is the marginal social cost of production at the output level the firm will choose to produce?
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A toy manufacturer's private cost of production is described by the function C(Q) = 2Q² + 2Q + 5, and its production process creates an external cost to society given by EC(Q) = (1/6)Q³ + (1/2)Q². The toys are sold at a constant market price of $50 per unit. Match each economic description below to its correct calculated value based on this scenario.