1, An assembly line is to be designed to operate 7 1/2 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) (task) (preceding tasks) (performance time )(seconds)

a _ 70 g d 60

b _ 40 h e 50

c _ 45 i f 15

d a 10 j g 25

e b 30 k h,i 20

f c 20 I j,k 25

a) What is the workstation cycle time required to meet the desired output rate?

b) What is the theoretical minimum number of workstations required to meet the desired output rate?

c) Assign tasks to workstations using the using the largest number of following tasks. Use the longest task time as a secondary criterion.

d) What is the efficiency of your line balance, assuming it is running at the cycle time determined in part b? (Round your answer to 1 decimal place.)