Suppose X people are assigned to produce Part A, then 62-X people are assigned to produce Part B, so that the two parts produced every day can just match.

12X:23*(62-X)=3:2

24X=69(62-X)

24X=4278-69X

93X=4278

X=46

62-X=62-46= 16 people

It takes 46 people to produce one part and 16 people to produce part B, so that the two parts produced every day are just matched.