USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 3 AND 4

The process an avionics manufacturing firm uses for producing an airplane engine component is depicted below:

What is the capacity of the process? (Round your answer to one decimal place)

Question

USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 3 AND 4

The process an avionics manufacturing firm uses for producing an airplane engine component is depicted below:

What is the capacity of the process? (Round your answer to one decimal place)

BlackTom AI · Accepted Answer

The capacity of a serial production process is determined by the bottleneck (the workstation with the longest processing time). If the bottleneck takes 0.1 hour per unit (which is 6 minutes per unit), the process can produce 1/(0.1 hour) = 10 units per hour.

1) Relevant concepts
- Throughput (capacity) = number of units produced per unit time.
- Cycle time at the bottleneck determines the entire process capacity for a series process.
- Conversion between time units: 1 hour = 60 minutes.

2) Step-by-step reasoning
- Identify the bottleneck cycle time: 0.1 hour per unit (given by the process diagram/data).
- Convert to minutes to check: 0.1 hour × 60 minutes/hour = 6 minutes per unit.
- Capacity (throughput) = 1 ÷ bottleneck cycle time = 1 ÷ 0.1 hour per unit.

3) Calculations (all intermediate steps)
- Bottleneck cycle time = 0.1 hour/unit
- Capacity = 1 / 0.1 hour/unit = 10 units/hour
- Check via minutes: 60 minutes/hour ÷ 6 minutes/unit = 10 units/hour

4) Why this answer is correct
Because in a series process the slowest station (largest cycle time) limits how quickly finished units can exit the system. Using the bottleneck cycle time of 0.1 hour per unit directly yields the maximum sustainable throughput: 10 units per hour.

5) Why other options are incorrect
- 0.1 units per hour: This confuses cycle time (0.1 hour per unit) with capacity; it is the reciprocal wrong way round. The correct reciprocal gives 10, not 0.1.
- 15.0 units per hour: Would require a bottleneck cycle time of 1/15 = 0.0667 hour (4 minutes) per unit; that is faster than the actual 0.1 hour bottleneck, so it overestimates capacity.
- 0.4 units per hour: Would correspond to a cycle time of 2.5 hours per unit; far slower than given data and thus incorrect.

Conclusion: Using the bottleneck cycle time of 0.1 hour per unit gives capacity = 10.0 units per hour, which matches the provided correct answer.

USE THE FOLLOWING INFORMATION TO ANSWER QUESTIONS 3 AND 4 The process an avionics manufacturing firm uses for producing an airplane engine component is depicted below: What is the capacity of the process? (Round your answer to one decimal place)单项选择题

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