Solve the Problem $f ( x , y , z ) = x + 2 y + 3 z$

question 16

Multiple Choice

Solve the problem.
-Find the maximum value of $f ( x , y , z ) = x + 2 y + 3 z$ subject to $x - y + z = 1$ and $x ^ { 2 } + y ^ { 2 } = 1$ .

• A) \(3 + \sqrt { 29 }\)
• B) \(3 - \sqrt { 37 }\)
• C) \(3 - \sqrt { 29 }\)
• D) \(3 + \sqrt { 37 }\)

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Definitions:

University Store

Not specific enough to provide a definition without context but generally refers to a retail outlet or bookstore operated by or on behalf of a college or university.

Sunk Cost

An expense that has been paid and cannot be retrieved.

Expected Cost

An estimate of the cost for a product, project, or operation that is anticipated under normal conditions.

Sell

The act of giving or handing over something in exchange for money.