Solve the Problem $f ( x , y , z ) = x y z$

question 257

Multiple Choice

Solve the problem.
-Find the extreme values of $f ( x , y , z ) = x y z$ subject to $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$ and $x + y = 2$ .

• A) Maximum: \(\sqrt { 2 }\) at \(( 1 , - 1 , - \sqrt { 2 } )\); minimum: \(- \sqrt { 2 }\) at \(( 1 , - 1 , \sqrt { 2 }\),
• B) Maximum: \(\sqrt { 3 }\) at \(( 1,1 , \sqrt { 3 } )\); minimum: \(- \sqrt { 3 }\) at \(( 1,1 , - \sqrt { 3 } )\)
• C) Maximum: \(\sqrt { 3 }\) at \(( 1 , - 1 , - \sqrt { 3 } )\); minimum: \(- \sqrt { 3 }\) at \(( 1 , - 1 , \sqrt { 3 }\),
• D) Maximum: \(\sqrt { 2 }\) at \(( 1,1 , \sqrt { 2 } )\); minimum: \(- \sqrt { 2 }\) at \(( 1,1 , - \sqrt { 2 } )\)

---

Definitions:

Commercial Electronic Information

Data related to electronic commerce that encompasses business transactions conducted online.

Personal Information

Information about an identifiable individual.

Appropriate Safeguards

Measures taken to protect personal data or ensure the security of information, typically in accordance with legal requirements.

Chief Privacy Officer

An executive position within a company responsible for managing policies and practices related to maintaining and protecting personal data privacy.