I have a worksheet of these problems, if someone could walk me through this one, I can figure out the rest.
Find the maximum value of C=x+3y on the region determined by the constraints {3x+2y<16
{0<x<4
{0<y<5.
Thanks.
Because x+3y is linear in x and y the maximum value for C occurs at a vertex
of the feasible region defined by the constraints.
The attachment shows the feasible region defined by the constraints and the
coordinates of the vertices.
For each vertex evaluate x+3y, and the one that gives the largest of these
values is the maximum value that C can take in the feasible region.
RonL