Can anyone help me with my kkt problem?
MAX E = -x1logx1 -x2logx2 - x3logx3
st
x1 + x2 + x3 = 1
0x1 + .5x2 + x3 = *
x1 = 0, x2 = 0, x3 =0
and * has 9 values between .1 and .9

Question

Can anyone help me with my kkt problem?
MAX E = -x1logx1 -x2logx2 - x3logx3
st 
x1 + x2 + x3 = 1
0x1 + .5x2 + x3 = *
x1 >= 0, x2 >= 0, x3 >=0
and * has 9 values between .1 and .9

anonymous · Answer

This is what I have so far:
-logx1 -1 - lamda1= 0
-logx2 - 1 - lamda1 -.5lamda2 = 0
-logx3 - 1 - lamda1 - lamda2 = 0

and matrix
[1 1 1 0 0]
[0 .5 1 0 0]
[? 0 0 -1 -1]
[0 ? 0 -1 -.5]
[0 0 ? -1 -1]