Measurement of the $W$+jets Inclusive Jet Multiplicity Cross Sections at CDF

We present preliminary measurements of the inclusive jet multiplicity cross sections for $W+$jets events produced in $p\bar{p}$ collisions at $\sqrt(s) = 1.96$~TeV. $W$ bosons are identified by their decays to electrons and muons in a data sample corresponding to an integrated luminosity of approximately 350~pb$^-1$.