The purpose of this study is to evaluate hematologic response in patients receiving epoetin alfa (PROCRIT®) therapy for persistent chemotherapy-induced myelosuppression (anemia) after completion of chemotherapy administration as compared to patients who do not receive weekly epoetin alfa (PROCRIT®) immediately after cessation of chemotherapy. Further, the duration of treatment necessary to achieve these endpoints will be studied. A No/Delayed epoetin alfa (PROCRIT®) treatment control (whereby patients in the control group will receive epoetin alfa (PROCRIT®) if their Hb decreases to < 10g/dL during the study) will be used to establish the frequency and magnitude of changes in clinical end points that may occur when epoetin alfa (PROCRIT®) treatment is not continued (or started) for patients with residual myelosuppression after chemotherapy administration has ended. A 2:1 randomization will be used to give every patient a greater chance to receive immediate treatment (66.6% epoetin alfa (PROCRIT®) treatment vs. 33.3% No/Delayed epoetin alfa (PROCRIT®) treatment). The study will be powered to show differences between the two groups in hematologic response.