We develop a general equilibrium model of an exchange economy with rel
ative price distortions, where markets for consumption goods are clear
ed by resource-wasting queues. In general, greater distortions in rela
tive prices lead to lower social welfare. We show; however, that in so
me cases a free market equilibrium may not exist if subsistence needs
for commodities such as food are sufficiently high. In such an instanc
e, removing price distortions will actually lower aggregate welfare.