Math Problem Statement

Express Copy offers walk-in copying and binding services to small businesses that cannot afford to provide those services in- house. Following is a typical schedule for a 52-copy spiral- bound job. Processing order = 23 minutes Waiting for copying to begin = 27 minutes Copying = 22 minutes Waiting for binding = 28 minutes Binding = 10 minutes

Packing for customer 4 minutes a. Calculate the delivery cycle time. b. Calculate the manufacturing cycle time.

Solution

To calculate the delivery cycle time and the manufacturing cycle time, let us first understand the terms:

  • Delivery Cycle Time: The total time taken from when the order is placed to when it is delivered to the customer. This includes all activities like waiting and processing.
  • Manufacturing Cycle Time: The time spent on actual production activities, excluding waiting times.

a. Delivery Cycle Time

The delivery cycle time includes all the listed activities:

  • Processing order: 23 minutes
  • Waiting for copying to begin: 27 minutes
  • Copying: 22 minutes
  • Waiting for binding: 28 minutes
  • Binding: 10 minutes
  • Packing for customer: 4 minutes

Total Delivery Cycle Time = 23 + 27 + 22 + 28 + 10 + 4 = 114 minutes


b. Manufacturing Cycle Time

The manufacturing cycle time includes only the time spent on productive processes:

  • Copying: 22 minutes
  • Binding: 10 minutes
  • Packing for customer: 4 minutes

Total Manufacturing Cycle Time = 22 + 10 + 4 = 36 minutes


Final Results:

  • Delivery Cycle Time: 114 minutes
  • Manufacturing Cycle Time: 36 minutes

Would you like a breakdown of any of the steps or further explanations?


5 Related Questions:

  1. How does waiting time affect the efficiency of a process?
  2. What strategies can reduce delivery cycle time in small businesses?
  3. How can manufacturing cycle efficiency (MCE) be calculated from these times?
  4. What role does customer satisfaction play in optimizing delivery and manufacturing times?
  5. Are there industry standards for acceptable delivery and manufacturing cycle times?

One Tip:

Streamlining waiting times between processes can significantly improve overall efficiency and customer satisfaction. Look for bottlenecks in the workflow!

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Math Problem Analysis

Mathematical Concepts

Time Calculation
Cycle Time Analysis

Formulas

Delivery Cycle Time = Sum of all time intervals
Manufacturing Cycle Time = Sum of productive process times

Theorems

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Suitable Grade Level

Grades 9-12