12. The production of auto component goes through the processes of parts production, assembly, inspection and packaging. The time of each process is indicated in the diagram below (10 points)

Part Production 100 units/30min

Assembly Unit 100 units/20mins

Inspection Unit 100units/10mins

Packaging Unit 100 units/15min

a. What is the cycle time of the process?

b. What is the manufacturing lead time of each batch of 100 parts?

c. If the work is carried out as indicated above

(i) What would be the idle time of each process, if any, during the second batch production?

(ii) Between which consecutive processes would there be work-in-process, if any?

d. Is the line balanced? If not, how will you balance the line?