Find the maximum value of the function $f ( x , y ) = 6 - 4 x ^ { 2 } - y ^ { 2 }$ subject to the constraint that $4 x + y = 5$ .
A) $\frac { 1 } { 2 }$
B) $\frac { 1 } { \sqrt { 2 } }$
C)1
D) $\sqrt { 2 }$
E)2
F) $2 \sqrt { 2 }$
G)4
H) $4 \sqrt { 2 }$

Question

Find the maximum value of the function $f ( x , y ) = 6 - 4 x ^ { 2 } - y ^ { 2 }$ subject to the constraint that $4 x + y = 5$ .
A) $\frac { 1 } { 2 }$ 
B) $\frac { 1 } { \sqrt { 2 } }$ 
C)1
D) $\sqrt { 2 }$
E)2
F) $2 \sqrt { 2 }$
G)4  
H) $4 \sqrt { 2 }$

Quizplus · Accepted Answer

The Answer is C

Find the Maximum Value of the Function f(x,y)=6−4x2−y2f ( x , y ) = 6 - 4 x ^ { 2 } - y ^ { 2 }f(x,y)=6−4x2−y2

Find the Maximum Value of the Function $f ( x , y ) = 6 - 4 x ^ { 2 } - y ^ { 2 }$