A study of multi-jet production in the reaction

at

TeV is presented.
The data sample, collected with the CDF Run II detector at the
Fermilab collider, corresponds to an integrated luminosity of
127 pb

. From this event sample, the W + n Jets
cross sections and their ratios have been measured as a function
of the inclusive jet multiplicity. The cross sections and the
jet properties are compared with the leading-order QCD prediction
from the matrix-element Alpgen Monte Carlo program interfaced with
the parton-shower model provided by the Herwig Monte Carlo program.
The sensitivity of the theoretical model on the renormalization
scale has been explored. The results obtained in this analysis are
also compared with the previous CDF Run I measurement taken at

TeV.