A peripheral smear with increased neutrophils, basophils, eosinophils, and platelets is highly suggestive of

The peripheral blood picture of this patient is quite characteristic of chronic myeloid leukemia. Chronic  myeloid  leukemia  is  a  stem  cell  disease  that  is  characterized  by  leukocytosis  with  granulocytic  immaturities,  basophilia, splenomegaly and distinct chromosomal abnormality Philadelphia chromosome.