Question

Question 3

1. The Consolidated Bank of Ghana (CBG) is planning to install a new computerized accounts system. Bank management has determined the activities required to complete the project, the precedence relationships of the activities, and activity time estimates as follows:

			Time	Estimates	(weeks)
Activity	Description	Predecessor	a	m	b
A	Position Recruiting	-	5	8	17
B	System Development	-	3	12	15
C	System Training	A	4	7	10
D	Equipment training	A	5	8	23
E	Manual System Test	B, C	1	1	1
F	Preliminary System Changeover	B, C	1	4	13
G	Computer-Personnel Interface	D, E	3	6	9
H	Equipment Modification	D, E	1	2.5	7
I	Equipment testing	H	1	1	1
J	System Debugging and Installation	F, G	2	2	2
K	Equipment Changeover	G, I	5	8	11

Use the information in the table to answer the following questions

1. Compute the expected activity completion time for each activity. (3 marks)
2. Draw the project network diagram together with the activity schedule. (5 marks)
3. When will the computerized accounting system be ready for use? (1 mark)

4. What is the critical path (the critical activities)? (2 marks

b.Management of CBG is not happy with the completion time in Question 2(iii) and wants the project completed earlier than that. You are given the following additional activity information.

Activity	Crash Time (weeks)			Activity Cost (GH¢)
			Normal		Crash
A		7	4,800			6,300
B		9	9,100			15,500
C		5	3,000			4,000
D		8	3,600			5,000
E		1	0			0
F		3	1,500			2,000
G		5	1,800			2,000
H		3	0			0
I		1	0			0
J		2	0			0
K		6	5,000			7,000

i. Prepare a table of Allowable Crash Time and Crash Cost per Week for each activity. (5 marks)

Management of CBG can offer a maximum of GH¢800 per week to enable the project manager reduce the project completion time:

ii. prepare a table for the crashing procedure. (5.5 marks)

iii. when will the project now be completed? (0.5 mark)

iv. what is the total extra cost to management of CBG? (1 mark)

v. If management of CBG wishes the computerized accounting system to be ready at week 30, what will be the total extra cost to CBG? (2 marks

Answer 1

ANSWER 3 A=

Answer i=

Activity	a	m	b	Completion time	Completion time ( whole number)
A	5	8	17	(5+4*8+17)/6	9.00
B	3	12	15	(3+4*12+15)/6	11.00
C	4	7	10	(4+4*7+10)/6	7.00
D	5	8	23	(5+4*8+23)/6	10.00
E	1	1	1	(1+4*1+1)/6	1.00
F	1	4	13	(1+4*4+13)/6	5.00
G	3	6	9	(3+4*6+9)/6	6.00
H	1	2.5	7	(1+4*2.5+7)/6	3.00
I	1	1	1	(1+4*1+1)/6	1.00
J	2	2	2	(2+4*2+2)/6	2.00
K	5	8	11	(5+4*8+11)/6	8.00

Answer ii-

Activity	ES	EF	LS	LF
A	0	9	0	9
B	0	11	7	18
C	9	16	11	18
D	9	19	9	19
E	16	17	18	19
F	16	21	20	25
G	19	25	19	25
H	19	22	23	26
I	22	23	26	27
J	25	27	25	27
K	27	35	27	35

Answer iii= The computerized system will be ready to use after 9+10+6+2+8=35 weeks (which is the duration of the critical path)

Answer iiv= The critical path = longest path = A-D-G-J-K

P.S. AS PER CHEEGG ONLY FIRST 4 PARTS CAN BE ANSWERED.