Consider the Utility Function

question 12

Essay

Consider the utility function .(Explain all your answers.)
a.Derive the function for the marginal rate of substitution.
b.Do the tastes represented by this utility function satisfy diminishing MRS?
c.The marginal utility of a good is defined as the change in utility from additional consumption of that good (holding all else constant).Derive the marginal utility of and .
d.Why does an ordinal approach to utility theory not any attention to what you derived in (c)?
e.Why does an ordinal approach to utility not treat the marginal rate of substitution the way it treats the marginal utility concept?

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Definitions:

West

A direction, region, or concept often associated with the western part of a country, continent, or the Western world, characterized by specific cultural, economic, or historical contexts.

Native Americans

Indigenous peoples of the Americas, present before the arrival of European settlers, with distinct cultures, languages, and histories, and who faced displacement and challenges to their way of life due to colonization.

Moral Suasion

The abolitionist strategy that sought to end slavery by persuading both slaveowners and complicit northerners that the institution was evil.

Moral Reform Groups

Organizations that emerged, particularly in the 19th century, with the goal of improving society by combating perceived moral failings, such as alcohol consumption, gambling, and prostitution.