Determine Whether There Is a Relative Maximum, a Relative Minimum $f ( x , y )$

question 12

Multiple Choice

Determine whether there is a relative maximum, a relative minimum, a saddle point, or insufficient information to determine the nature of the function $f ( x , y )$ at the critical point $\left( x _ { 0 } , y _ { 0 } \right)$ . Given: $\begin{array} { l } f _ { x x } \left( x _ { 0 } , y _ { 0 } \right) = - 1 \\f _ { y y } \left( x _ { 0 } , y _ { 0 } \right) = - 8 \\f _ { x y } \left( x _ { 0 } , y _ { 0 } \right) = 5\end{array}$

• A) \(\text { relative minimum }\) at \(\left( x _ { 0 } , y _ { 0 } \right)\)
• B) \(\text { saddle point }\) at \(\left( x _ { 0 } , y _ { 0 } \right)\)
• C) \(\text { relative maximum }\) at \(\left( x _ { 0 } , y _ { 0 } \right)\)
• D) \(\text { insufficient information to determine the nature of the function }\) at \(\left( x _ { 0 } , y _ { 0 } \right)\)

Understand the challenges and criticisms of the current union certification process under the NLRA.

Understand the different models of unionism, including industrial, business, social, job control, organizing, servicing, and craft unionism.

Identify the objectives and features of business unionism and its role within the capitalist system.

Recognize the significance of social unionism in influencing political and civil outcomes.

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