The following tasks are to be performed on an assembly line: TASK SECONDS TASKS THAT MUST PRECEDE A 20 — B 7 A C 20 B D 22 B E 15 C F 10 D G 16 E, F H 8 G The workday is seven hours long. The demand for completed product is 750 per day. Find the cycle time required to meet the desired output rate. Note: Round your answer to 1 decimal place.   What is the theoretical number of workstations required to meet the desired output rate? Note: Round up your answer to the next whole number.   Balance the line using sequential restrictions and the longest-operating-time rule. Determine the task under each workstation and the idle time for each such task. Note: Round your answers to 1 decimal place.   What is the efficiency of the line balanced as in part (d) assuming it is running at the cycle time determined in part (a)? Note: Round your answer to 1 decimal place.   Suppose that demand rose from 750 to 800 units per day. Determine the cycle time. (Use the solution obtained in part (d).) Note: Round your answer for cycle time down to the nearest whole number.   Suppose that demand rose from 750 to 1,000 units per day. Determine the cycle time. (Use the solution obtained in part (d).) Note: Round your answer for cycle time down to the nearest whole number.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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The following tasks are to be performed on an assembly line:

TASK SECONDS TASKS THAT MUST PRECEDE
A 20
B 7 A
C 20 B
D 22 B
E 15 C
F 10 D
G 16 E, F
H 8 G

The workday is seven hours long. The demand for completed product is 750 per day.

  1. Find the cycle time required to meet the desired output rate.

    Note: Round your answer to 1 decimal place.

     
  2. What is the theoretical number of workstations required to meet the desired output rate?

    Note: Round up your answer to the next whole number.

     
  1. Balance the line using sequential restrictions and the longest-operating-time rule. Determine the task under each workstation and the idle time for each such task.

    Note: Round your answers to 1 decimal place.

     
  2. What is the efficiency of the line balanced as in part (d) assuming it is running at the cycle time determined in part (a)?

    Note: Round your answer to 1 decimal place.

     
  3. Suppose that demand rose from 750 to 800 units per day. Determine the cycle time. (Use the solution obtained in part (d).)

    Note: Round your answer for cycle time down to the nearest whole number.

     
  4. Suppose that demand rose from 750 to 1,000 units per day. Determine the cycle time. (Use the solution obtained in part (d).)

    Note: Round your answer for cycle time down to the nearest whole number.

     
 
 
 
 
 
 
 
 
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,