Math Problem Statement
A process requires a 14 minute setup for each batch. When producing, the process can produce one unit every 16 minutes. Demand for the product is 3 units per hour.
With a batch size of 12 units, what is the process utilization?
Solution
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Math Problem Analysis
Mathematical Concepts
Process Utilization
Time Management
Batch Production
Formulas
Production time for a batch = batch size × time per unit
Total time per batch = setup time + production time
Number of batches required = total demand / batch size
Utilization = total production time / available time
Theorems
Ratio theorem for utilization calculation
Suitable Grade Level
Grades 9-12
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