Second-Derivative Test Showing Profit-Maximizing Output is Inefficiently High

Production Efficiency at a Steel Mill

A chemical factory produces fertilizer and, as a byproduct, releases pollutants into a nearby river, which harms the local fishing industry. The factory operates in a competitive market and chooses its production level solely to maximize its own profits. How does the factory's chosen level of output compare to the level of output that would be most efficient for society as a whole?

Profit Maximization and Social Welfare

In a market with a negative production externality, a firm that sets its output level to maximize its own profit is also producing at a quantity that is considered efficient for society as a whole.

A company's production process creates a negative externality, meaning it imposes costs on third parties. Match each type of output level with the economic condition that defines it.

Explaining Market Inefficiency

A manufacturing plant produces goods in a competitive market, but its production process also creates air pollution, which imposes costs on the surrounding community. The plant operates at the output level that maximizes its own profit. At this specific quantity of production, which of the following relationships holds true?

A firm operating in a competitive market produces a good whose manufacturing process generates a cost for a third party that is not involved in the transaction. The firm chooses its output level to maximize its own profits. At this specific profit-maximizing level of output, what is the relationship between the value society places on the last unit produced and the full cost to society of producing that same unit?

Evaluating an Economic Argument on Efficiency

A paper mill produces at its profit-maximizing quantity. At this output level, its marginal private cost is $50 per ton, which is equal to the market price. The production process also pollutes a river, creating a marginal external cost of $20 per ton. Considering all costs and benefits, what is the net impact on society of the last ton of paper produced at this quantity?