A foundry that casts turbine blades inspects for eight features that are considered critical$-$to$-$qual$-$ity. During the previous month, $1,236$ castings were produced. During inspection, $47$ defects among the eight features were found, and $29$ castings had one or more defects. Determine DPMO, DPM$,$ andDUPM in a Six Sigma program for these data and convert each to its corresponding sigma level.