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.
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}.
To find out how many acceptable pieces the first shift produces, we need to subtract the number of defective pieces from the total production of the first shift.
First, we calculate the number of defective pieces in the first shift:
Defective pieces in the first shift = (3.6/100) * 2555 = 92.18
Next, we calculate the total acceptable pieces in the first shift:
Total acceptable pieces in the first shift = Total production of the first shift - Defective pieces in the first shift = 2555 - 92.18 = 2462.82
We round this number to the nearest whole piece, which gives 2463.
Therefore, the first shift produces 2463 more acceptable pieces than defective pieces.
To solve this problem, we need to find the number of defective pieces produced by each shift and then subtract it from the total production to get the number of acceptable pieces. Finally, we can compare the number of acceptable pieces produced by each shift.
Let's start with the first shift:
Number of defective pieces = 3.6% of 2,555 pieces
To find 3.6% of a number, we can multiply the number by 0.036:
Number of defective pieces in the first shift = 2,555 * 0.036
Now, subtract the number of defective pieces from the total production to find the number of acceptable pieces in the first shift:
Number of acceptable pieces in the first shift = 2,555 - (2,555 * 0.036)
Next, let's move on to the second shift:
Number of defective pieces = 5.8% of 2,072 pieces
To find 5.8% of a number, we can multiply the number by 0.058:
Number of defective pieces in the second shift = 2,072 * 0.058
Now, subtract the number of defective pieces from the total production to find the number of acceptable pieces in the second shift:
Number of acceptable pieces in the second shift = 2,072 - (2,072 * 0.058)
Finally, to find the difference in the number of acceptable pieces produced by each shift, subtract the number of acceptable pieces in the second shift from the first shift:
Difference = Number of acceptable pieces in the first shift - Number of acceptable pieces in the second shift
Round the answer to the nearest whole piece to get the final result.