Lake charles seafood makes 500 wooden packing
boxes for fresh seafood per day, working in two 10-hour shifts.
due to increased demand, plant managers have decided to operate
three 8-hour shifts instead. the plant is now able to produce
650 boxes per day.
a) calculate the company�s productivity before the change in
work rules and after the change.
b) what is the percentage increase in productivity?
c) if production is increased to 700 boxes per day, what is the
new productivity?

(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!