Apurpose of government regulation in a mixed-market economy is to protect

The correct answer is: "income equality and social welfare"-

Pure market economies do not exist because when markets are allowed to freely function, and economic decisions are reached by the interaction of individuals, firms and goverment in the markets, these lead to sharply unequal outcomes and social welfare is threatened.

In turn, mixed market economies are established, where economic authorities implement income redistribution systems that reduce income inequalities and generate fairer outcomes for all the individuals that conform a society. Therefore, these redistribution systems and the goverment intervention in the economy are part of the regular functioning of this type of economies.

in an absolute  monarchy, the  monarchrules as an autocrat, with absolutepower  over the state and government — for example, the right to rule by decree, promulgate laws, and impose punishments. the  monarch isnominally sovereign but the electorate, through their legislature, exercise political sovereignty.