first a convert all the constraints and the objective functions in to a linear equations .
then it become x1 + x2 = 6
2×1+3×2 = 3
After substitution in equations to find the points
(3,3) is the point pf interaction of x1=3 and x2=3
and the corner points in the feasible region is (3,0) , (5,0) .
then substitution in the objective function z = 5×1 + 3×2 .
the maximum value at x=5 and x2=0
maximun value is 25
the minimum value at x1=3 and x2=0 .
minimum value is 15
i’am i right ??
could any one guide me .