Question

It's a Macroeconomics question.

Kazumi is taking three courses this semester and wants to maximize her GPA. She has 48 hours left to study for her finals. Let E, M, and V denote the number of hours she dedicates to studying for her Economics, Mathematics, and Corporate Valuation exams and S denote the amount of sleep she gets. Her performance, and thus her GPA, is a function of all the time she spends studying and the amount of sleep she gets (GP A = f(E, M, V, S)). Formally state her maximization problem (there is nothing to solve).

Answer 1

Kazumi is taking three courses this semester and wants to maximize her GPA. She has 48 hours left to study for her finals.

Let E, M, and V denote the number of hours she dedicates to studying for her Economics, Mathematics, and Corporate Valuation exams and S denote the amount of sleep she gets. Her performance, and thus her GPA, is a function of all the time she spends studying and the amount of sleep she gets. Thus,

GPA = f(E, M, V, S)

Now if we want to maximize the GPA, We can write the maximization problem as-

Maximize : GPA = E + M + V + S

Subject to: E+M+V+S <or= 48