$(40$ pts$)$ Making one item necessitates the completion of the following nine tasks, each of

which has precedence relationships.

Assuming that each task is executed at a distinct workstation, similar to the illustrated assembly line

below:

a$.(3$ pts$)$ Is this assembly line able to fulfill all the precedence requirements? Why?

b$.(3$ pts$)$ What is the cycle time of the corresponding production line? Why?

c$.(3$ pts$)$ What is the production rate of the corresponding production line?

d$.(3$ pts$)$ Calculate the efficiency of this production line.

e$.(3$ pts$)$ Is it possible to enhance the efficiency of the line while maintaining the same cycle

time of $3\mathrm{.}4$ minutes in the given scenario? If so$,$ how can it be accomplished?

f$.(5$ pts$)$ Assume that in the aforementioned example, the desired production rate is $12$ units per

hour. Can this be achieved or is this feasible? Please answer with "Yes" or $"$No$"$ and provide

the reasoning behind your answer.

g$.(5$ pts$)$ What is the minimum possible number of stations $(N_{\text{M}\text{i}\text{n}})$ that can accommodate this

production $(12$ units per hour$)$ rate?

h$.(15$ pts$)$ Compare the efficiency of the above example by solving it based on the largest

processing time and the number of successor rules $($Please consider required production rate $=$

$12$ units$/$hour$.)$