Before therapy a gut community contains: Commensal A = 1.0 × 109 cells (antibiotic susceptible), Commensal B = 5.0 × 107 cells (partially susceptible, 50% killed by drug), and Pathogen P = 2.0 × 105 cells (resistant). A course of antibiotic is given that kills 99% of susceptible cells but 0% of resistant ones. Calculate the post-therapy abundances for A, B, and P, and determine which taxon dominates numerically after therapy. Show your steps and final numeric answers.