We describe a measurement of the ratio of the cross sections times branching fractions of the (ProQuest: Formulae and/or non-USASCII text omitted) meson in the decay mode (ProQuest: ... denotes formulae and/or non-USASCII text omitted) meson in the decay mode B super(+)arrowrightJ/psiK super(+) in proton-antiproton collisions at center-of-mass energy radicals=1.96TeV. The measurement is based on the complete CDF Run II data set, which comes from an integrated luminosity of 8.7fb super(-1). The ratio of the production cross sections times branching fractions for <disclaimer#3 /> and B super(+) mesons with momentum transverse to the beam greater than 6GeV/c and rapidity magnitude smaller than 0.6 is 0.211+ or -0.012(stat)... . Using the known B+arrowrightJ/psiK super(+) branching fraction, the known B super(+) production cross section, and a selection of the predicted ... arrowrightJ/psimu super(+)nu branching fractions, the range for the total ... production cross section is estimated.