what is the capacity of the assembly line (cars per day; cars per week (5 days); and cars per year (50 weeks)) assuming 100% line utilization? how many fewer cars are produced per shift if the run ratio is 95%? how many fewer cars are produced per shift if the run ratio is 85%?
To calculate the capacity of the assembly line, we need to know the number of cars produced per hour. Since that information is not given, I cannot provide specific values for cars per day, per week, or per year. However, I can explain the process for calculating the capacity.
1. Cars per day: Assuming 100% line utilization, we first determine the number of cars produced per hour. Let's say the line produces X cars per hour. To calculate the number of cars produced per day (24 hours), we multiply X by 24.
Cars per day = X cars per hour * 24 hours
2. Cars per week (5 days): We multiply the number of cars produced per day by the number of working days in a week. If the line operates for 5 days a week, we multiply the cars per day by 5.
Cars per week = Cars per day * 5
3. Cars per year (50 weeks): Similar to calculating cars per week, we multiply the cars per week by the number of working weeks in a year. Assuming there are 50 working weeks, we multiply the cars per week by 50.
Cars per year = Cars per week * 50
Now let's calculate the number of fewer cars produced per shift based on different run ratios:
1. Run ratio of 95%: If the line runs at 95% efficiency, it means it operates at 95% of its full capacity. To calculate the number of fewer cars produced per shift, we multiply the cars per hour (X) by 0.05 (1 - 0.95).
Fewer cars produced per shift (95% run ratio) = X cars per hour * 0.05
2. Run ratio of 85%: Similarly, for an 85% run ratio, we multiply the cars per hour (X) by 0.15 (1 - 0.85).
Fewer cars produced per shift (85% run ratio) = X cars per hour * 0.15
Note: The specific values of X and the number of shifts need to be provided to calculate the exact number of fewer cars produced.