Hint: For this question you may find it helpful to remember that a^2b^2=(a+b)(ab)

For

F(x,y)=4xy20(x+y)

subject to

x^2+y^2=25,

a)find a global maximum stationary point and its value;

Maximum point:

(x,y)max=

__________

Maximum value:

F(x,y)max=

__________

b)a global minimum stationary point and its value;

Minimum point:

(x,y)min=

__________

Minimum value:

F(x,y)min=

__________

c)another stationary point that is not a global maximum or a global minimium, and its value.

Stationary point:

(x,y)=

__________

Value:

F(x,y)=

__________