The following tasks have to be performed on a unit of raw material in order to convert it into a unit of finished product.

Task	Time (minutes)	Immediate Predecessors
a	3	--
b	4	--
c	3	a, b
d	7	c
e	7	c
f	6	c
g	9	e, f
h	10	d, e
i	3	g, h
j	6	i
Total	58

1. Draw a precedence network for these tasks.
2. Suppose that each task is performed at a separate station. The time taken is as shown in the above table. Once a task is performed it is picked up by the next station. Transfer times are included in the task times and so may be ignored. Thus you have an assembly line with 10 stations.

(i) What is the maximum production possible from this assembly line? (Hint: what is the bottleneck?)

(ii) what is the efficiency of this assembly line?

3. It is possible to achieve the same production as in (b) with fewer stations. Suggest one possible arrangement that will do so. What is the efficiency of this arrangement?
4. Suppose that a production of 40 units per 8-hour day is desired.

(i) What is the minimum number of stations needed to meet this rate?

(ii) Design an assembly line that will meet this requirement.

(iii) What is the efficiency of this line?

No plagiarism please.Just use your own word and website to answer.Thank you.