Solve the ILLP given below by graphical method :
Maximum Z = 95x1 + 100x2
Subject to the constraints
5x1 + 2x2 ≤ 20
x1 ≥ 3
x2 ≤ 5
x1 , x2 are non - negative Integers
(Maximize)
The condition given:
In the equation
when we put ,then
When we put ,then
Now when we draw a graph of the line and the given points and shade accordingly then in the feasible region we got three points
that is
A(3,0)
B(4,0)
C(3,2.5)
Now value of Z at A=
Value of Z at B=
Value of Z at C=
So the maximum value is achieved at the point C and that value is 535
So we can say that the Maximum of Z is 535 and it occurred at the point (3,2.5)
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