To determine the average labor utilization, we need to consider the labor utilization for both resources. Labor utilization is the proportion of time the worker is actively engaged in producing dolls compared to the total time available for production.

Step 1: Calculate labor utilization for each resource

The formula for labor utilization is:

$\text{Labor Utilization} = \frac{\text{Actual Output}}{\text{Maximum Capacity}} \times 100$

Resource 1:

• Capacity: 15 dolls per hour
• Demand: 22 dolls per hour

Since the demand is greater than the capacity of Resource 1 (15 dolls per hour), this resource is fully utilized in producing the 15 dolls.

$\text{Labor Utilization for Resource 1} = \frac{15}{15} \times 100 = 100\%$

Resource 2:

• Capacity: 19 dolls per hour
• Demand: 22 dolls per hour

Similarly, Resource 2 is working at full capacity to produce 19 dolls.

$\text{Labor Utilization for Resource 2} = \frac{19}{19} \times 100 = 100\%$

Step 2: Average Labor Utilization

To find the average labor utilization, we take the average of the two utilizations.

$\text{Average Labor Utilization} = \frac{100\% + 100\%}{2} = 100\%$

Conclusion:

The average labor utilization is 100%.

Would you like further clarification or details? Here are some related questions you may find interesting:

1. How does resource bottlenecking affect the overall output in a manufacturing process?
2. What happens to labor utilization when demand exceeds the combined capacity of both resources?
3. How can we optimize labor utilization if demand is higher than the capacity?
4. What is the relationship between worker allocation and production efficiency?
5. How do we calculate the cycle time for this process?

Tip: Labor utilization is a key metric in understanding production efficiency, but it doesn't tell the whole story. Bottlenecks and resource synchronization also play major roles in determining overall productivity.