EXAMPLE PROBLEM.
You have an upstream Picking department that feeds two downstream packing departments: Pack A
and Pack B.
75% of your Pick volume goes to Pack A which has a packing rate of 150 units per labor hour (UPH) per
person.
25% of the Pick volume goes to Pack B, which is for large items, and has a pack rate of 25 UPH per
person.
Your pickers pick both large and small items throughout the day at an overall average rate of 100 UPH
per person. You have 25 people total today to allot into all 3 departments (Pick, Pack A & Pack B). You
absolutely must pack 7500 units in Pack A to meet a customer promise metric.
How many people (of the 25 total) go into each department and how much volume can Pick and Pack be
complete in your 10 hour shift?

1.

Department % of volume Rate (UPH) People Daily volume
Pick 100% 100 ?? ??
Pack A 75% 150 ?? 7500
Pack B 25% 25 ?? ??
Below is my answer to the above problem that I believe is
correct.
Department %Volume Rate(UPH) People Daily Volume
PICK 100% 100 10 10000
Pack A 75% 150 5 7500
Pack B 25% 25 10 2500
Total 100% 25 10000

2.

I need help with this one and the information above has nothing to do with this problem.
Department % of volume Rate (UPH) Volume Headcount
Singles 40% 104
Multis 60% 215
Total 100%
Do I need more information in order to solve for the empty boxes above?
If so can you give me some formulas or equations I can use once I am given that 1 piece of
information in order to solve for the missing data.
This is also assuming that these scenarios are for working in a factory and the normal work day
is either 8 hours, 9 hours or 10 hours.
All of the answers have to be in whole numbers.

Sample Solution