Question

Solve the following linear programming problem graphically and clearly indicate the feasible solution

Maximize Z = 4x + y

Subject to the constraints:
x+y 0

Answer 1

Answer:

We know that the co-ordinates of the centroid of the triangle with vertices A(x

1

​

,y

1

​

)=(−2,−5),B(x

2

​

,y

2

​

)=(−2,12) and C(x

3

​

,y

3

​

)=(10,−1) is

G(

3

x

1

​

+x

2

​

+x

3

​

​

,

3

y

1

​

+y

2

​

+y

3

​

​

)

Thus, centroid of triangle ABC is

(

3

−2−2+10

​

,

3

−5+12−1

​

)

=

3

6

​

,

3

6

​

=(2,2)

Step-by-step explanation: