Final answer:
Public goods are a market failure due to their nonexcludable and non rival nature leading to the free rider problem, making private provision unprofitable.
Step-by-step explanation:
Public goods represent a market failure because B. by their very nature they are nonexcludable and nonrival which makes it difficult for the private sector to supply them profitably. Public goods, such as roads, parks, and libraries, are nonexcludable, meaning it is costly or impossible to prevent someone from using them, and they are non-rival, meaning that one person's use does not decrease the utility for others. This leads to the free rider problem, where individuals might benefit from the good without contributing to its cost, making it unattractive for private companies to provide these goods. The government often steps in to supply these goods to overcome this challenge.