Amy​ Xia's plant is designed to produce 8 comma 000 hammers per day but is limited to making 5 comma 600 hammers per day because of the time needed to change equipment between styles of hammers.
Part 2
The utilization rate for the plant​ = 
  
enter your response here​%​ (enter your answer as a percentage rounded to two decimal​ places).

The utilization rate of the plant can be calculated using the formula:

\[
\text{Utilization rate} = \left( \frac{\text{Actual output}}{\text{Design capacity}} \right) \times 100
\]

Here, the actual output is 5,600 hammers per day, and the design capacity is 8,000 hammers per day. Substituting the values:

\[
\text{Utilization rate} = \left( \frac{5,600}{8,000} \right) \times 100 = 70\%
\]

Thus, the utilization rate for the plant is **70.00%**.

Do you want further details on utilization rate, or have any other questions?

Here are 5 related questions:
1. How does equipment downtime affect the utilization rate in manufacturing?
2. What factors can lead to a low utilization rate in production plants?
3. How can improving equipment changeover time increase plant efficiency?
4. What is the difference between capacity utilization and efficiency?
5. How would the utilization rate change if the plant increased its actual output to 7,000 hammers?

**Tip:** Always monitor equipment changeover times to minimize their impact on production capacity.

Amy Xia's plant is designed to produce 8,000 hammers per day but is limited to making 5,600 hammers per day because of the time needed to change equipment between styles of hammers. The utilization rate for the plant = ___% (enter your answer as a percentage rounded to two decimal places).

Learn how to find the utilization rate for a plant designed to produce 8,000 hammers per day but limited to making 5,600 hammers due to equipment changeover time. This problem covers key concepts such as percentage calculation and capacity utilization, suitable for students in Grades 9-12.

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