Question

The university IT team is working on the implementation of a new software system for enrollment.  Using the following table, complete the requested tasks:

	Activity	Immediate Predecessor			Normal	Crash	Normal	Crash
	A	-			6	5	$900	$1,000
	B	A			8	6	$300	$400
	C	A			4	3	$500	$600
	D	B			5	3	$900	$1,200
	E	C, D			8	5	$1,000	$1,600
a. Draw the network diagram noting normal and crash times.

b. What is the critical path?

c. What is the minimum cost of crashing the project by 4 days? Would you recommend the team crash the project? Explain your calculations and position.

Answer 1

There are two chains in the following network:

ABDE = 27

ACE = 18

CRITICAL PATH = ABDE = 27

WE WILL ONLY CRASH ACTIVITIES FROM THE CRITICAL PATH IN ORDER TO BRING CHANGES TO THE PROJECT SCHEDULE

CRASHING

CRASH COST PER PERIOD = (CRASH COST - NORMAL COST) / (NORMAL TIME - CRASH TIME)

ACTIVITY	NORMAL TIME	CRASH TIME	NORMAL COST	CRASH COST	COST / PERIOD	TIMES CRASHED	# CRASH	CRASH COST
A	6	5	900	1000	100	1	3RD	100
B	8	6	300	400	50	2	1ST AND 2ND	100
C	4	3	500	600	100			0
D	5	3	900	1200	150	1	4TH	150
E	8	5	1000	1600	200			0
TOTAL COST			3600					350

MIN COST OF CRASHING BY 4 PERIODS = 350

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