Problem 2:

Use the graphical method to solve the given LPP:

Maximize Z = 50x+50y

Subject to:

3x+2y60

4x+5y100

x10

x, y 0

Solution:

Constraint 1:

X1
X2

Coordinates ( , ) and ( , )

Constraint 2:

X1
X2

Coordinates ( , ) and ( , )

Constraint 3:

X1
X2

Coordinates ( , ) and ( , )

Use the below graph sheet for solving:

Coordinate	Objective function value

Optimal Solution:

Z =

X₁ =

X₂ =