An assembly line is to be designed to operate 7½ hours per day and supply a steady demand of 300 units per day. Here are the tasks and their performance times: TASK PRECEDING TASKS PERFORMANCE TIME (SECONDS) A — 70 B — 40 C — 45 D A 10 E B 30 F C 20 G D 60 H E 50 I F 15 J G 25 K H, I 20 L J, K 25 What is the workstation cycle time required to meet the desired output rate? What is the theoretical minimum number of workstations required to meet the desired output rate? Note: Round up your answer to the next whole number. Assign tasks to workstations using the longest operating time. What is the efficiency of your line balance, assuming it is running at the cycle time determined in part b? Note: Round your answer to 1 decimal place. Suppose demand increases by 10 percent. How would you react to this? Assume that you can operate only 71/2 hours per day. Note: Round your answer for cycle time down to the nearest whole number. Round your answer for overtime up to the nearest whole number.

An assembly line is to be designed to operate 7½ hours per day and supply a steady demand of 300 units per day. Here are the tasks and their performance times: TASK PRECEDING TASKS PERFORMANCE TIME (SECONDS) A — 70 B — 40 C — 45 D A 10 E B 30 F C 20 G D 60 H E 50 I F 15 J G 25 K H, I 20 L J, K 25 What is the workstation cycle time required to meet the desired output rate? What is the theoretical minimum number of workstations required to meet the desired output rate? Note: Round up your answer to the next whole number. Assign tasks to workstations using the longest operating time. What is the efficiency of your line balance, assuming it is running at the cycle time determined in part b? Note: Round your answer to 1 decimal place. Suppose demand increases by 10 percent. How would you react to this? Assume that you can operate only 71/2 hours per day. Note: Round your answer for cycle time down to the nearest whole number. Round your answer for overtime up 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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TASK	PRECEDING TASKS	PERFORMANCE TIME (SECONDS)
A	—	70
B	—	40
C	—	45
D	A	10
E	B	30
F	C	20
G	D	60
H	E	50
I	F	15
J	G	25
K	H, I	20
L	J, K	25

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