I have a question about some stochastic linear programming formulas, namely (4.3),(4.4),(4.5) and (4,6) in the snippet below. I do not follow how was created the argument of $c$ in (4.3), the formula (4.4) and from (4.4) the formula (4.5), and finally (4.6). I'm looking on it almost a week without any success.
The snippet is taken from the book Introduction to stochastic programming by
John Birge,the second edition.
My reputation it too low to add a comment, so don't take this as an answer rather than comment.
What exactly is your problem?
Those (4.3-4.5) are just assumptions/pre-conditions to give a real sounding problem/illstration. And those assumptions are summarized into the optimization problem (4.6). c is a new variable introduced which is (later) used for optimization purposes.