Math Problem Statement

Balance the line to use the fewest possible workstations to meet the cycle time found in part (b). Use whatever method you feel is appropriate. What is the efficiency of your line balance, assuming the line operates at the cycle time from part (b)?

Note: Round your answer to 1 decimal place.

Solution

To help you balance the production line with the fewest workstations and calculate the efficiency, I would need a bit more context regarding the workstations, tasks, and cycle time from part (b). Specifically:

  1. Task List: A list of tasks that need to be completed in each workstation.
  2. Task Durations: The time required for each task.
  3. Cycle Time: The time available per workstation (which you mentioned comes from part (b)).

Once you provide this information, I can guide you through the line balancing process, and calculate the efficiency of the line.

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Math Problem Analysis

Mathematical Concepts

Production Line Balancing
Efficiency Calculation

Formulas

Efficiency = (Sum of Task Times) / (Number of Workstations * Cycle Time)

Theorems

Line balancing principles

Suitable Grade Level

College/University (Operations Management or Industrial Engineering)