math
posted by ANONIMOUS on .
Maximize z = 16x + 8y subject to:
2x + y ≤ 30
x + 2y ≤ 24
x ≥ 0
y ≥ 0
Graph the feasibility region.
Identify all applicable corner points of the feasibility region.
Find the point(s) (x,y) that maximizes the objective function z = 16x + 8y.

If you rewrite the constraints in terms of y, for example,
2x+y≤30 as
y≤2x + 30
then you can graph the constraints.
When y≤ something, then the feasible region is below the line, if y>0, the feasible region is above the line.
For x≥0, it is on the right of the yaxis.
What do you get for the corner points?
Once you have the corner points in the form of (x,y), you can evaluate
Z(x,y) in terms of x and y and hence compare the value of Z that maximizes its value.