  A schematic model for QCD, developed in a previous paper, is applied to
calculate meson properties in the high temperature (up to 0.5 GeV) regime. It
is a Lipkin model for quark-antiquark pairs coupled to gluon pairs of spin
zero. The partition function is constructed with the obtained meson spectrum
and several thermodynamical observables are calculated, like: the energy
density, heat capacity, as well as relative production rates of mesons and
absolute production rates for pions and kaons. The model predictions show a
qualitative agreement with data. Based on these results we advocate the use of
the model as a toy model for QCD.
