Assume that external benefits exist in the consumption of vaccinations. If these positive externalities are not taken into account or corrected, then, when compared with the socially optimal solution, which of the following statements is true?

a) The market quantity of vaccinations will be greater than the socially optimal quantity.
b) The market quantity of vaccinations will be less than the socially optimal quantity.
c) The market price of vaccinations will be higher than the socially optimal price.
d) The market price of vaccinations will be lower than the socially optimal price.