Final answer:
The price of cigarettes in a free market will be too low and the quantity sold too high because the true social costs, such as health impacts on smokers and passive smokers, are not reflected in the market price. Taxes on cigarettes serve to correct this by reducing consumption and generating government revenue, but the impact depends on demand elasticity.
Step-by-step explanation:
If cigarette prices are determined in a free market without considering the negative externalities like cancer and heart disease caused by smoking and second-hand smoke, the resulting market equilibrium will not reflect the true social cost of smoking.
Given this scenario, option 1 is correct: The price of cigarettes will be too low and the quantity sold will be too high. This is because the private market price and quantity (Pm and Qm) do not take into account the external costs to passive smokers, so the socially optimal output and price (Pe and Qe) are different - typically at a higher price and lower quantity. When these externalities are taken into account, a deadweight loss to society is realized, which can be illustrated in a graph showing the divergence between the private equilibrium and the socially optimal equilibrium.
Taxes on cigarettes are a practical tool used by governments to correct this market failure by internalizing the external costs. They aim to both reduce cigarette consumption and raise tax revenue. Still, the effectiveness of taxes on altering consumption and raising revenue depends on the price elasticity of demand for cigarettes.