Minimize $P = 18 x + 4 y$ Subject to the Given Constraints

question 47

Multiple Choice

Minimize $P = 18 x + 4 y$ subject to the given constraints.
$\left\{\begin{array}{rll}x & \geq & 0 \\y & \geq & 0 \\x+4 y & \geq & 9 \\4 x+y & \geq & 9\end{array}\right.$

• A) \(\quad P = 99\) at \(( 4.5,4.5 )\)
• B) \(\quad P = 9\) at \(( 0,4 )\)
• C) \(\quad P = - 72\) at \(( - 4,0 )\)
• D) \(\quad P = 36\) at \(( 0,9 )\)
• E) none of these

---

Definitions:

Sermon on The Mount

A collection of teachings and sayings of Jesus Christ, found in the New Testament, which emphasizes compassion, humility, and love.

Sexism

The belief that one sex, usually male, is superior to the other.

Social Connections

The relationships and networks that individuals form with others, which can influence their social behavior and opportunities.

Sociological Definition

A concept or idea defined within the context of sociology, aiming to provide clarity and understanding of terms, phenomena, or theories related to human society and social behavior.