Find the exact extreme values of the function z= F(x,y)= 3x^2-2xy+4y^2-6x-20y+7 subject to the following constraints: 0 0 Start by listing all nine candidates, including

Find the exact extreme values of the function

• z= F(x,y)= 3x^2-2xy+4y^2-6x-20y+7

subject to the following constraints:

• 0 <_ x>
• 0 <_ y>

Start by listing all nine candidates, including their z values, in the form (x,y,z):

First, list the four corner points and order your answers from smallest to largestx, then from smallest to largesty.

Find the exact extreme values of the function = = f (x,y) = 3x2 - 2xy + 4y2 - 6x - 20y + 7 subject to the following constraints: Start by listing all nine candidates, including their z values, in the form (x,y,z): First, list the four corner points and order your answers from smallest to largest x, then from smallest to largest y. 1 ) ( 0 2) ( 10 6 3) ( 5 4) ( 5 6 16 Next find the critical point. 5 ) ( 2 0 , 3 0 , - 2 4 ) Lastly, find the four boundary points and order your answers from smallest to largest x, then from smallest to largest y. 6) (0 5/. 7) ( 1 8) ( 3 6 9) ( 5 1E X Enter a mathematical expression. Finally, find the extreme values: Smin = -2 y at ( x, y) = ( 2 ~ , 3 ~) fmax = 52 at (x,y) = ( 5 v ,0 Note that since this is a closed and bounded feasibility region, we are guaranteed both an absolute maximum and absolute minimum value of the function on the region