Question

Solve the system of inequalities 2x + y <= 6 , 3x + 4y >=12 graphically.​

Answer 1

Answer:

ANSWER

The feasible region determined by the constraints x+2y≤10,3x+y≤15,x,y≥0 is as shown.

The corner points of the feasible region are A(5,0),B(4,3) and C(0,5).

The values of Z at these corner points are as follows.

Corner points Z=3x+2y

A(5,0) 15

B(4,3) 18 → Maximum

C(0,5) 10

Therefore, the maximum value of Z is 18 at the point (4,3)

solution