Minimize $P = 16 x + 2 y$ Subject to the Given Constraints

question 45

Multiple Choice

Minimize $P = 16 x + 2 y$ subject to the given constraints.
$\left\{\begin{aligned}x & \geq 0 \\y & \geq 0 \\x+2 y & \geq 8 \\2 x+y & \geq 8\end{aligned}\right.$

• A) \(\quad P = 72\) at \(( 4,4 )\)
• B) \(\quad P = 16\) at \(( 0,8 )\)
• C) \(\quad P = 8\) at \(( 0,2 )\)
• D) \(\quad P = - 32\) at \(( - 2,0 )\)
• E) none of these

---

Definitions:

Behavioral Choices

Refers to the decisions and actions taken by an individual, which are influenced by factors like upbringing, environment, and personal beliefs.

Malnutrition

A health condition resulting from inadequate consumption of nutrients, leading to various health issues like stunted growth and weakened immunity.

Undernutrition

A condition resulting from insufficient intake of nutrients, leading to health issues like stunted growth, weakness, and impaired immunity.

Male Climacteric

The period of physical and psychological change relating to the male reproductive system that occurs during late middle age.