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Harley Davidson is a famous brand of big bikes, which they also produce as a company. One of the critical processes is the production of sub-assembly 001 for one of the models of their product. Workers have an output of 20 pcs/hr/worker for sub-assembly 001. At present, the company has 30 workers equally distributed in 3 shifts with a 45-minute break per shift. They operate 6 days per week.

a. How many sub-assemblies can they deliver in 2 weeks?

b. If a power failure occurred from 2 AM to 4 AM on day 4, while 3 workers of the 2nd shift are on sick leave for 3 days in Week 4, how much will be the lost capacity in 1 month?

c. What will be the available capacity in one week if all workers are required to attend a training program from 8 AM to 5 PM for the next 3 days?

Answer :

a. The company can deliver a total of 14,400 sub assemblies in 2 weeks.

b. The lost capacity in 1 month due to the power failure and sick leave would be 1,440 sub assemblies.

c. If all workers attend a training program for 3 days, the available capacity in one week would be reduced by 1,080 sub assemblies.

a. To calculate the number of sub assemblies delivered in 2 weeks, we first need to determine the production capacity per day. Each worker produces 20 sub assemblies per hour, and there are 30 workers in total. So, the total production capacity per hour is 600 sub assemblies (30 workers * 20 sub assemblies). Since the company operates for 6 days per week, the daily production capacity is 3,600 sub assemblies (600 sub assemblies/hour * 6 hours). Therefore, in 2 weeks (12 days), the company can deliver a total of 43,200 sub assemblies (3,600 sub assemblies/day * 12 days).

b. Considering the power failure from 2 am to 4 am on day 4, the company will lose 240 sub assemblies (600 sub assemblies/hour * 2 hours) for that day. Additionally, with 3 workers on sick leave for 3 days, the company will lose 1,440 sub assemblies (600 sub assemblies/day * 3 days). Therefore, the total lost capacity in 1 month (assuming a 30-day month) would be 1,680 sub assemblies (240 sub assemblies + 1,440 sub assemblies).

c. If all workers attend a training program for 3 days, the available capacity in one week would be reduced by the production capacity for those 3 days. As each worker works for 6 hours per day, the daily production capacity per worker is 120 sub assemblies (20 sub assemblies/hour * 6 hours). With 30 workers, the daily production capacity is 3,600 sub assemblies (120 sub assemblies/worker * 30 workers). Therefore, the available capacity in one week would be reduced by 1,080 sub assemblies (3,600 sub assemblies/day * 3 days).

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