Find the Critical Points of the Function $f ( x , y ) = 72 + 684 x y + 76 x ^ { 2 } + 2160 y + \frac { 9 y ^ { 4 } } { 4 }$

question 101

Multiple Choice

Find the critical points of the function. $f ( x , y ) = 72 + 684 x y + 76 x ^ { 2 } + 2160 y + \frac { 9 y ^ { 4 } } { 4 }$

• A) \(( - 4,4 ) , ( - 6,6 ) , ( 10 , - 10 )\)
• B) \(( - 4,6 ) , ( - 8,6 ) , ( 8 , - 6 )\)
• C) \(( - 4,6 ) , ( - 6 , - 10 ) , ( 10,4 )\)
• D) \(( - 6,6 ) , ( - 8,8 ) , ( 8 , - 8 )\)
• E) \(( 4,4 ) , ( 6,6 ) , ( - 10,0 )\)

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The output of goods and services produced per unit of labor input, often used as an indicator of economic efficiency.

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