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.
First Shift:
Defective pieces = 3.6% of 2,555 = 0.036 * 2,555 = 92.38
Second Shift:
Defective pieces = 5.8% of 2,072 = 0.058 * 2,072 = 120.04
Total acceptable pieces produced by first shift = 2,555 - 92.38 = 2462.62
Total acceptable pieces produced by second shift = 2,072 - 120.04 = 1,951.96
Difference in acceptable pieces produced = 2462.62 - 1951.96 = 510.66
Rounded to the nearest whole piece, the first shift produces 511 more acceptable pieces.