Question

The R&D Department is planning to bid on a large project for the development of a new braking system for commercial planes.  The accompanying table shows the activities, times, and sequences required:

	Activity			Immediate Predecessor	Optimistic	Most Likely	Pessimistic
	A	-			3	6	8
	B	A			2	4	4
	C	A			1	2	3
	D	C			6	7	8
	E	B,D			2	4	6
	F	B			6	10	14
	G	E, F			1	2	4
	H	F			3	6	9
	I	G			10	11	12
	J	H, I			14	16	20
a. Draw the network diagram with EF, ES, LS, and LF noted. (Hint: Pick one of the three processing times above.)

b. What is the critical path?

c. Suppose you want to shorten the completion time as much as possible, and you have the option of shortening any or all of B, C, D, and G each one week.  Which would you shorten and why?

d. What is the new critical path and the earliest completion time?

Answer 1

New critical paths are A-B-F-G-I-J and A-C-D-E-G-I-J and new completion time is 47 weeks