Answer:
(a)
Productivity (before) = 25 boxes per hour
Productivity (after) = 27.08 boxes per hour
(b) Percent increase in productivity = 8.32%
(c) New productivity = 29.17 boxes per hour
Explanation:
Be
A = Productivity
A1 = Productivity before the change
A2 = Productivity after change
B = Percent increase in productivity
C = Number of boxes
D = Number of work shifts
E = Work shift duration
(a) Productivity
Before the change:
A1 = C / (D + E) = 500 / (2 x 10) = 500 / 20 = 25 boxes per hour
After the change:
A2 = C / (D + E) = 650 / (3 x 8) = 650 / 24 = 27.08 boxes per hour
(b) Percent increase in productivity
B = (A2 - A1) / A1 = [(27.08 - 25) / 25] x 100% = (2.08 / 25) x 100% = 0.0832 x 100% = 8.32%
(c) New productivity
A = C / (D + E) = 700 / (3 x 8) = 700 / 24 = 29.17 boxes per hour
Hope this helps!