simultaneous linear equations minimization by linprog command

how can i minimize simultaneous linear equations by 'linprog' command(script)? for example in attached file we have some variables and we want to minimize each of them such that the summation of variables is constant and also there are some other constraints. how can i compute minimum of each variable(Pgk)?

[Matt J]

The question looks the same as the one you asked yesterdaay

http://www.mathworks.com/matlabcentral/answers/112369-simultaneous-linear-equations-minimization-by-linprog-command

Also, I see no file attached.