Question 1151703
with the batch process, they made 300 backplanes in seven days using 3 shifts (24 hours a day).
7 * 24 = 168 hours of labor to make 300 backplanes.
backplanes per hour = 300 / 168.


with the assembly line process, they made 500 backplanes in five days using 2 shifts (16 hours a day).
5 * 16 = 80 hours of labor to make 500 backplanes.
backplanes per hour = 500 / 80.


if you measure productivity in terms of backplanes per hour, then the assembly line process was (500 / 80) / (300 / 168) = 3.5 times AS productive as the batch process.


subtract 1 from that and you get 2.5 times MORE productive than the batch process.
the formula for that would be:
((500 / 80) - (300 / 168)) / (300 / 168) = 2.5 times more productive.


the percentage growth in labor productivity would therefore be 250%.
that's your solution.


the increase was from 300 / 168 = 1.78514286 backplanes per hour to 500 / 80 = 6.25 backplanes per hour.
that's an increase of 6.25 - 1.78514286 = 4.464275614 backplanes per hour.
4.464275614 / 1.78514286 = an increase of 2.5 times the number of backplanes per hour more than the batch process.
2.5 * 100 = 250%.