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# Maths question

Math Flow (Exact Question): You have an upstream picking department that feeds two downstream packing departments: pack singles and pack multis. Those packing departments feed to a shipping department that loads the outgoing trucks. 30% of your pick volume goes to pack singles and has a packing rate of 171 units per labor hour (uph). 70% of the pick volume goes to pack multis and has a pack rate of 266 units per labor hour. Your pickers pick both single and multis items throughout the day at an overall average rate of 114 units per labor hour. All units that are packed in both processes go through the ship process at a rate of 570 units per hour. You have 102 people today for all 4 departments and you have to pack 47,780 units in pack multis items to meet customer promise metric. How do you allocate labor to balance the flow in your department if you work a 10 hour shift? No breaks or lunches.

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