Math Problem will be emailed. Then you will be required to explain it. Please take 15 minutes to review this question and be prepared to present your answer to the panel. 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 units 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 7500 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. Department % of volume Rate (uph) People Daily volume Pick 100% 100 ?? ?? Pack A 75% 150 ?? 7500 Pack B 25% 25 ?? ?? My solution. Overall Volume * 75% = 7500 *.75 = 7500 = 7500/.75 Overall Volume = 10,000 = uph * hours * people = 100 * 10 * people = 1000 10 = people Packing A: 7,500 = uph * hours * people = 150 * 10 * people = 1500 7500 / 1500 = people 5 = people Packing B: 10,000 * 25% = 2500 2500 = uph * hours * people = 25 * 10 * people 2500 = 250 * people 10 = people Now cut uph on Packing Department A: from 150 to 125. How much volume is packed during the first 5 hours? How much volume is packed during the second 5 hours on Packing Department A? Your must meet the 10,000 overall volume and 75000 (Pack A) From which department do you move people? What is the overall output for each department after move?
