Answer:
Richard renovates a dilapidated historic home in the center of town ; too little is produced ; subsidizing the product
Explanation:
Externalities are the positive or negative side effects to third party, without any monetary exchange for the same. Positive externalities are the positive side effects, without any monetary exchange.
Alan gifting watch to his father, Sean cleaning his garage : have no extra social positive side effect. These are not positive externalities. Richard renovating a dilapidated historic home in town center : as it benefits all the people around the locality who, not having a dilapidated building in their vicinity - in terms of cleanliness, less construction accident risk etc.
Markets work on basis of 'Marginal private benefit' , 'Marginal private cost' equalisation. Positive externalities have extra social benefit. So, their total benefit being more than their private benefit - make markets underproduce than their socially optimal quantity
Government should subsidise the product. As this will internalise the extra social benefit due to positive externalities. And, it will also solve the problem of under production than socially optimal quantity.