The first shift of a manufacturing firm produces 3.6% defective pieces out of a total production of 2,555 pieces. The second shift produces 5.8% defective pieces out of a total production of 2,072 pieces. How many more acceptable pieces does the first shift produce? Round the answer to the nearest whole piece.

Answer 1

The first shift produces 2555 x 3.6/100 = <<2555*3.6/100=92.58>>92.58 defective pieces.
The second shift produces 2072 x 5.8/100 = <<2072*5.8/100=120.16>>120.16 defective pieces.
The first shift produces 92.58 -120.16 = <<92.58-120.16=-27.58>>-27.58 defective pieces.
Therefore, the first shift produces 28 more acceptable pieces. Answer: \boxed{28}.