In two quadratic models of a firm, it is shown that if the firm's prod
uction function is not separable in its arguments, then the presence o
f any unit root technology shock will prevent factor inputs from being
cointegrated with input prices. Absent integrated technology shocks,
there will be one cointegrating vector for every quasi-fixed factor he
ld by the firm, thereby providing one possible rationale for multiple
cointegrating vectors in multivariate time series systems. The paramet
ers of these cointegrating vectors may be used to recover the paramete
rs of the static factor demand functions obeyed by the firm.