  Recent use of Type Ia supernovae to measure acceleration of the universe has
motivated questions regarding their optimal use to constrain cosmological
parameters Omega_M, Omega_{\Lambda} and w_Q. In this work we address the
question: what is the optimal distribution of supernovae in redshift in order
to best constrain the cosmological parameters? The solution to this problem is
not only of theoretical interest, but can be useful in planning supernova
searches. Using the Fisher matrix formalism we show that the error ellipsoid
corresponding to N parameters (for N=1, 2, 3) has the smallest volume if the
supernovae are located at N discrete redshifts, with equal number of supernovae
at each redshift and with one redshift always being the maximum one probed.
Including marginalization over the ``nuisance parameter'' M changes this result
only trivially.
