Question

minimize
z=2x+4y.
such that
6x+y>=18
x+4y>=12
2x+y>= 0
and x,y>=0​

Answer 1

Answer:

Maximize Z = 3x + 4y

Subject to the constraints: x + y ≤ 4, x ≥ 0, y ≥ 0

Answer:

The feasible region determined by the constraints x + y ≤ 4, x ≥ 0, y ≥ 0 is as follows:

                                                          

The corner points of the feasible region are O (0, 0), A (4, 0), and B (0, 4).

The values of Z at these points are as follows:

                                             

Therefore, the maximum value of Z is 16 at the point B (0, 4).