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:

LH

Luteinizing Hormone, a hormone that triggers ovulation in females and testosterone production in males.

ACTH

Adrenocorticotropic hormone, a pituitary gland hormone that stimulates the production of cortisol by the adrenal cortex.

Uterine Cycle

The monthly cycle of changes in the uterus, including menstruation and the development of the endometrium, in preparation for possible pregnancy.

Mons Pubis

A rounded mound of fatty tissue situated over the pubic bone of females, becoming more prominent after puberty.