Let $f ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 }$

question 227

Multiple Choice

Let $f ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 }$ , find $\nabla \cdot ( \nabla f )$ at the point $( 1,0,1 )$ .

• A) \(2\)
• B)
• \(4\)
• C)
• \(6\)
• D) \(1\)
• E) \(- 2\)
• F) \(- 4\)
• G)
• \(- 6\)
• H)
• \(0\)

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Definitions:

Firm's Output

The total quantity of goods or services produced by a company within a specific time period.

Lowest Price

The minimum cost at which a good or service is offered in the market, representing the least amount a seller is willing to accept.

Long Run

refers to a period of time in which all factors of production and costs can be fully adjusted, including all forms of investment.

Short Run

A timeframe in economic terms where firms can adjust production levels only by changing variable inputs, with fixed inputs remaining constant.