The Function $z = x y + ( x + y ) ( 120 - x - y )$

question 80

Essay

The function $z = x y + ( x + y ) ( 120 - x - y )$ has a maximum. Find the values of $x$ and $y$ at which it occurs.

---

Definitions:

Discipline and Punish

A book by the French philosopher Michel Foucault that examines the development of penal systems and the broader implications of discipline and control in society.

Humane

Demonstrating compassion, empathy, and concern for the welfare and well-being of others, including animals.

Michel Foucault

was a French philosopher, historian of ideas, social theorist, and literary critic known for his influential analysis of power, discourse, and social institutions.

Madness and Civilization

A book by Michel Foucault that explores the history of madness in Western society.