Many models possess unwanted relies, which should be diluted by entrop
y production just before the big-bang nucleosynthesis. A field respons
ible for the entropy production may produce stable weakly interacting
massive particles, if kinematically accessible. We compute their relic
abundances by integrating out coupled equations numerically. Applying
our results to supersymmetric standard models, we argue that the neut
ralino lightest superparticles will overdose the universe in most of t
he parameter space if the reheat temperature is of the order of 10 MeV
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