Question

Mega Mart Store is a discount department store badly in need of renovation. To avoid loss of sales and disruption of customer shopping habits, Mega Mart wants to complete this renovation without closing the store itself, by temporarily co-locating goods from one area of the store into another, creating open spaces for renovation and re-occupation. Mega Mart is divided into four basic areas of goods: Clothing, Electronics, House Wares and Foodstuffs. Each of these areas will need to be temporarily moved, as described in the tasks below:

Activity	Description	Immediate Predecessor(s)	Estimated Length of Activity (days)
A	Co-locate Clothing in Electronics area	None	3
B	Renovate old Clothing area	A	4
C	Return Clothing to renovated area	B	2
D	Co-locate House Wares in Foodstuffs area	None	5
E	Renovate old House Wares area	D	4
F	Return House Wares to renovated area	E	1
G	Co-locate Electronics in Clothing area	B	3
H	Renovate old Electronics area	C,G	6
I	Return Electronics to renovated area	H	2
J	Co-locate Foodstuffs in House Wares area	E	3
K	Renovate old Foodstuffs area	F,J	4
L	Return Foodstuffs to renovated area	K, I	3

1. Suppose Mega Mart starts on this project immediately, to finish as soon as possible. How much time will be required to complete this project?

  

2. What is the critical path through this project?

  

3. What is the slack in Activity C?

  

1. PERT

Jersey Warehouse packs and ships customer orders for three large on-line retailers.

Jersey Warehouse normal operates continuously, but is planning to shut down next week to replace

its computer servers. This highly sensitive project consists of four tasks, described in the table below:

Task Description Immediate Predecessors Optimistic Time (O) Most Likely Time (M) Pessimistic Time (P)

A Shut down warehouse system and remove old servers from server room none 1 hour 2 hours 3 hours

B Install new computer servers in server room A 1 hour 2 hours 9 hours

C Reconfigure warehouse terminals none 2 hours 4 hours 6 hours

D Reboot warehouse system and run diagnostics B and C 2 hours 6 hours 16 hours

4. What is the expected completion time of this project?

5. Suppose that Jersey Warehouse plans to stop warehouse operations and start this project at

   1:00 AM next Monday morning. Which of the following is the closest to the probability that

   Jersey Warehouse will finish the project and be back in operation by 2:00 PM of same day?

1. Crashing

Considering the following project

Activity	Immediate Predecessor	Normal Duration (weeks)	Crash Time (weeks)	Cost per Week To Crash
A	------	2	1	$ 1000
B	A	1	--	--
C	B	1	--	--
D	C	2	1	$ 100
E	C	5	3	$ 300
F	D, E	5	4	$ 500
G	F	1	--	--

6. Determine the critical path and determine the expected length of the project.

7. Which activity must be crash first in order to finish project complete time from 15

   weeks to 14 weeks ?

8. What is the total cost and completion time of the fully crashed project?

Answer 1

Activity	ES	EF	LS	LF	SLACK
A	0	3	0	3	0
B	3	7	3	7	0
C	7	9	8	10	1
D	0	5	2	7	2
E	5	9	7	11	2
F	9	10	13	14	4
G	7	10	7	10	0
H	10	16	10	16	0
I	16	18	16	18	0
J	9	12	11	14	2
K	12	16	14	18	2
L	18	21	18	21	0

Duration of project is 21.

Critical path is ABGHIL

Slack of activity C is 1

Part II

Activity	To	Tm	Tp	Te
A	1	2	3	2
B	1	2	9	3
C	2	4	6	4
D	2	6	16	7

The expected time of completion of project is 12 with critical pat of project being ABD

Activity	ES	EF	LS	LF	SLACK
A	0	2	0	2	0
B	2	5	2	5	0
C	0	4	1	5	1
D	5	12	5	12	0

Note: As per policies, I can answer first 4 parts of a question. Inconvenience is regretted.