Question

Problem 1

Chapter 7: Your hospital has applied for certification as a level 1 stroke center. It is critical that the following project is completed before the next Joint Commission survey in 18 weeks. Project activity times are listed in the table below.

1. Draw the network diagram and identify the project paths.
2. What is the project completion time and total project costs if only normal times are used?
3. Determine the minimum cost-schedule for this project.
4. What is the difference in total project costs between the earliest completion time of the project using normal times and the minimum cost-schedule you derived in part b?

Activity	Immediate Predecessors	Normal Time (NT) (weeks)	Normal Cost (NC) ($)	Crash Time (CT) (weeks)	Crash Cost (CC) ($)
A	---	6	$600	2	$1,400
B	A	7	$200	3	$600
C	---	9	$500	6	$950
D	C	2	$800	1	$1,200
E	D	8	$1,600	5	$2,800
F	B, D	5	$200	4	$400
G	F	4	$400	3	$750

Answer 1

ANSWER

ALL POSSIBLE PATHS:

ABFG = 22

CDFG = 20

CDE = 19

CRITICAL PATH = NETWORK CHAIN WITH THE LONGEST DURATION = ABFG = 22

DURATION OF CRITICAL PATH = 22

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	ORDER	CRASH COST
A	6	2	600	1400	200	0		0
B	7	3	200	600	100	3	1ST, 2ND AND 4TH	300
C	9	6	500	950	150	1	4TH	150
D	2	1	800	1200	400	0		0
E	8	5	1600	2800	400	0		0
F	5	4	200	400	200	1	3RD	200
G	4	3	400	750	350	0		0
TOTAL COST			4300					650

DIFFERENCE = 650

**SINCE NO OTHER DATA SUCH AS PENALTY COST OR DAILY COST OF THE PROJECT IS PROVIDED.

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