For this discussion, please consider the DPMO concepts and formula covered in the chapter.

Blake, owner of Blakester's T$-$shirt Shoppe, keeps track of customer complaints. For each T$-$shirt sold, there are four possible complaints: T$-$shirt shrinks, poor quality, design wears off, and doesn't fit right. Each week, Blake calculates the rate of T$-$shirt "defects" per total T$-$shirts sold, and then uses this information to determine his company's DPMO. During the past week, his company sold $1200$ T$-$shirts. His company received $22$ customer shrinkage complaints, $16$ poor quality complaints, $12$ design wears off complaints, $8$ doesn't fit right complaints.

Calculate the defects per million opportunities $($DPMO$),$ and from Table $8\mathrm{.}4($see attached$)$ determine the sigma level that this company is operating at$.$

a$)$ The company seeks your assessment on whether this sigma level acceptable. Please explain and justify your assessment.

b$)$ Suppose that the company decides to improve their sigma level $($regardless of your assessment above$),$ and asks for the approaches or actions they should adopt, what will be your recommendations?