Question 986289
*[illustration x91.JPG].
First graph the feasible region and find the vertices (points of intersection).
The extrema occur at the vertices so check the value of the function at those points.
(2,0): {{{z=2(2)+4(0)=4}}}
(9,0): {{{z=2(9)+4(0)=18}}}
(0,4): {{{z=2(0)+4(4)=16}}}
(0,9): {{{z=2(0)+4(9)=36}}}