For Function $f ( x , y ) = 8 - \frac { x } { 8 } - \frac { y } { 7 } , \text { find the maximum value of the directional }$

question 31

Multiple Choice

For function $f ( x , y ) = 8 - \frac { x } { 8 } - \frac { y } { 7 } , \text { find the maximum value of the directional }$ derivative at (3,2) .

• A) \(\sqrt { 15 } / 8\)
• B) \(\sqrt { 113 } / 56\)
• C) \(\sqrt { 113 } / 224\)
• D) \(\sqrt { 113 } / 112\)
• E) \(\sqrt { 113 } / 168\)

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Definitions:

Salvage Value

The calculated remaining value of an asset after it has served its anticipated lifetime.

Opportunity Costs

Missing out on possible advantages from various alternatives upon deciding on one.

Sunk Cost

A cost that has already been incurred and cannot be recovered or refunded, and thus should not influence future financial decisions.

Book Value

Book value is the net value of a company's assets found on its balance sheet, calculated as total assets minus total liabilities and intangible assets.