$\text { Find } \nabla f ( x , y ) \text { for function } f ( x , y ) = 8 - \frac { x } { 8 } - \frac { y } { 2 } \text {. }$

question 71

Multiple Choice

$\text { Find } \nabla f ( x , y ) \text { for function } f ( x , y ) = 8 - \frac { x } { 8 } - \frac { y } { 2 } \text {. }$

• A) \(\nabla f ( x , y ) = \frac { 1 } { 8 } \hat { \mathbf { i } } + \frac { 1 } { 2 } \hat { \mathbf { j } }\)
• B) \(\nabla f ( x , y ) = \frac { 1 } { 8 } \hat { \mathbf { i } } - \frac { 1 } { 2 } \hat { \mathbf { j } }\)
• C) \(\nabla f ( x , y ) = - 8 \hat { \mathbf { i } } - 2 \hat { \mathbf { j } }\)
• D) \(\nabla f ( x , y ) = 8 \hat { \mathbf { i } } - 2 \hat { \mathbf { j } }\)
• E) \(\nabla f ( x , y ) = - \frac { 1 } { 8 } \hat { \mathbf { i } } - \frac { 1 } { 2 } \hat { \mathbf { j } }\)

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Interest Rate

The amount charged by lenders to borrowers for the use of money, expressed as a percentage of the principal, usually on an annual basis.

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Cobb-Douglas Utility Functions

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