  The minimal supersymmetric standard model with universal boundary conditions
and "asymptotic" Yukawa unification is considered. The full one-loop effective
potential for radiative electroweak symmetry breaking as well as the one-loop
corrections to the charged Higgs boson, b-quark and tau lepton masses are
included. The CP-even Higgs boson masses are corrected to two-loops. The relic
abundance of the lightest supersymmetric particle (bino) is calculated by
including its coannihilations with the next-to-lightest supersymmetric particle
(lightest stau) consistently with Yukawa unification. The branching ratio of b
--> s gamma is evaluated by incorporating all the applicable next-to-leading
order QCD corrections. The bino-stau coannihilations reduce the bino relic
abundance below the upper bound from cold dark matter considerations in a
sizable fraction of the parameter space allowed by b --> s gamma for mu>0.
Thus, the mu>0 case, which also predicts an acceptable b-quark mass, is
perfectly compatible with data.
