# maths question

Found 25th Jan 2016

You have an upstream Picking department that feeds two downstream packing departments: A and B. 75% of your Pick volume goes to department A, which has a packing rate of 150 unites per labor hour (uph). 25% of the Pick volume goes to department B, which is for large items, and has a pack rate of 25 units per labor hour. Your pickers pick both large and small items throughout the day at an overall average rate of 100 units per labor hour. You have 25 people today for all 3 departments, and you absolutely must pack 7,500 units in department A to meet a customer promise metric. How do you allocate labor to balance the flow in your department if you work a 10 hour shift? Do not assume breaks or lunches in your answer

thanks!!

Department % Volume Rate (UPH) People Daily Volume

Pick 100% 100 ?? ??

Pack A 75% 150 ?? 7500

Pack B 25% 25 ?? ??

- Boogie83e

thanks!!

Department % Volume Rate (UPH) People Daily Volume

Pick 100% 100 ?? ??

Pack A 75% 150 ?? 7500

Pack B 25% 25 ?? ??

- Boogie83e

5 people to packing in dept A (total 7,500 units at 150 units per person per hour - 5 people, 10 hours)

10 people to packing in dept B ((total 2,500 units at 25 units per person per hour - 10 people, 10 hours)

Edited by:"Thistleno1" 25th Jan 2016the picking department runs at 100 uph, running for 10 hours requires 10 staff to meet 10000 units. (100uph x 10 hours x 10 staff = 10000 units)

you then have 7500 to pack in dept a. dept a runs at 150 uph, over 10 hours 5 people are needed. (150uph x 10 hours x 5 staff = 7500 units)

dept b gets the remaining 2500 picks, and dept b runs at 25uph, so over 10 hours it needs 10 people. (25uph x 10 hours x 10 staff = 2500 units)

picks = 10 staff

dept a = 5 staff

dept b = 10 staff

look like i was a little slow

Forgot to add - it's obviously the Sports Direct warehouse.