Final answer:
For a patient with AB+ blood, compatible units for transfusion should be A+, B+, AB+, or O+ and lack both Kell (K) and RhE (E) antigens. Units containing these antigens would be incompatible due to the patient's anti-K and anti-E antibodies.
Step-by-step explanation:
For a patient with blood type AB+ who has an antibody screen positive for anti-K and anti-E, compatible units in a major crossmatch should not contain the Kell (K) antigen or the RhE (E) antigen to prevent adverse reactions. A patient with AB+ blood is considered a universal recipient for ABO and Rh type; however, they must still avoid blood units with antigens that correspond to their antibodies. Thus, the units that would be compatible for transfusion with this patient are those that are A+, B+, AB+ or O+ and lack the Kell and RhE antigens.
During a minor crossmatch, where the patient's plasma is tested against donor red blood cells, any blood units that contain the Kell or RhE antigens would be incompatible due to the presence of anti-K and anti-E antibodies in the patient's plasma, leading to potential agglutination and harmful transfusion reactions.