Positive externality in consumption arises when vaccinating a single person benefits other groups of people as there are lower chances of that single person contracting the virus and then spreading it on to anyone else because s/he is vaccinated.
Thus a single person taking the vaccine benefits a third party leading to positive externality.
Earlier Marginal private benefit at quantity Q was lower than marginal social benefit because only a few number of people were vaccinated.
When the government provides a subsidy and tries to vaccinate more number of people, the welfare loss reduces and eradicates as Marginal social benefit is equal to Marginal social cost leading to positive externality as there is an increase in quantity which reaches the optimal level leading to increase in marginal social benefit.
And thus there is efficiency attained as more number of people being vaccinated increases the immunity of almost the entire population leading to it providing immunization to other groups of people.
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