Secondhand smoke I. Assume that the daily demand for packs...

Secondhand smoke I. Assume that the daily demand for packs of cigarettes in the tobacco-addicted nation of Pcoria is $$ Q=100-P $$ Further assume that the marginal cost of producing a pack of cigarettes is $? 6$, and that the market for cigarettes is perfectly competitive. Assume that each pack of cigarettes smoked does $\$ 6$ worth of health damage to the smoker in the form of increased cancer risk and a total of $\$ 5$ worth of health damage to the smoker's neighbors via secondhand smoke. Finally, assume that all Pcorian cigarette consumers are aware of these costs. a Assume that a Pcorian smoker named Jay states that he is willing to buy a pack of cigarettes for $\$ 8$, but not a penny more. In this market, where the price is $\$ 6$ per pack, what are the private benefits and private costs incurred whenever he buys a pack of cigarettes? Is it privately efficient for him to buy a pack of cigarettes at this price? b What about the public benefits and public costs? Is it socially efficient for him to buy a pack of cigarettes at this price? c Suppose that, due to the introduction of a hyper-effective tobacco fertilizer, the cost of producing a pack of cigarettes plummets to $\$ 1$. Now is it socially efficient for Jay to purchase a pack of cigarettes?

Secondhand smoke I. Assume that the daily demand for packs of cigarettes in the tobacco-addicted nation of Pcoria is
$$
Q=100-P
$$
Further assume that the marginal cost of producing a pack of cigarettes is $? 6$, and that the market for cigarettes is perfectly competitive. Assume that each pack of cigarettes smoked does $\$ 6$ worth of health damage to the smoker in the form of increased cancer risk and a total of $\$ 5$ worth of health damage to the smoker's neighbors via secondhand smoke. Finally, assume that all Pcorian cigarette consumers are aware of these costs.
a Assume that a Pcorian smoker named Jay states that he is willing to buy a pack of cigarettes for $\$ 8$, but not a penny more. In this market, where the price is $\$ 6$ per pack, what are the private benefits and private costs incurred whenever he buys a pack of cigarettes? Is it privately efficient for him to buy a pack of cigarettes at this price?
b What about the public benefits and public costs? Is it socially efficient for him to buy a pack of cigarettes at this price?
c Suppose that, due to the introduction of a hyper-effective tobacco fertilizer, the cost of producing a pack of cigarettes plummets to $\$ 1$. Now is it socially efficient for Jay to purchase a pack of cigarettes?

Key Concepts

Market Efficiency and the Role of Externalities

Market efficiency occurs when resources are allocated in a way that maximizes total surplus, meaning that the marginal benefit equals the marginal cost. However, when externalities are present, private decision-making does not account for all the social costs or benefits. In such cases, even if a transaction is privately efficient – meaning the individual’s personal willingness to pay exceeds the private cost – it may not be socially efficient because it ignores the additional external costs imposed on others.

Perfect Competition and Price Signals

In a perfectly competitive market, prices ideally reflect the true cost of production, and equilibrium is achieved when supply equals demand. However, if externalities exist, the market price may fail to capture the full social cost of a good, leading to over-consumption from a societal perspective. Recognizing and internalizing externalities is essential to align private incentives with social welfare.

Externalities

An externality is a cost or benefit incurred by a third party who is not directly involved in the production or consumption of a good or service. In this context, secondhand smoke introduces a negative externality because cigarettes not only affect the smoker's health but also impose additional health costs on others, which are not reflected in the private transaction between the buyer and seller.

Private and Social Costs and Benefits

Private costs and benefits are those that affect the individual directly involved in the transaction, such as the cost paid for a pack and the beneficial effect the cigarette has for the smoker. Social costs and benefits, however, include both the private effects and any externalities. For example, while the smoker experiences private costs and benefits, the third-party health damages due to secondhand smoke represent costs borne by society, meaning the total social cost of cigarette consumption is higher than the private cost.

Please give Ace some feedback