I am trying to figure out the best way to approach an optimization problem with a few constraints, two of which must lie between 0 and 1. I'm not sure how these types of constraints are still useable within Kuhn Tucker and any help or direction towards the right approach would be much appreciated.

The problem is roughly as follows:

Max P (over m, s) = bm + e(1-s) + A

subject to b ≥ 0, 0 < m < 1, 0 < s < 1, e ≥ 0