# Emma’s custom design shop is adding a new product line

June 11, 2016

Question
50 points) Emma’s custom design shop is adding a new product line. The advertisements and announcements will go out in two weeks. At that time, she will expect her customers to request the new product. However, her work area and shop must be redesigned to meet her needs. A number of activities must be accomplished to complete the redesign of the work area and shop.

The table below lists the activities about her project:

ACTIVITY

IMMEDIATE PREDECESSOR

TIME (hours)

a

m

b

A

9

11

13

B

5

7

9

C

4

4

8

D

A

10

15

20

E

C

6

7

8

F

B

9

10

12

G

D,F

6

7

9

H

F,E

14

16

17

I

D

10

11

13

J

G,H

6

7

9

K

I

3

6

8

L

J,K

1

2

4

Construct a network for this problem. (5 points) Hint: consider constructing in MS Power Point or some other tool and paste into your submission document.
Determine the expected time and variance for each activity. (5 points) (Complete and copy table into your submission.)
ACTIVITY

Expected (Time in Hours)

Variance

A

B

C

D

E

F

G

H

I

J

K

L

Determine the ES, EF, LS, LF, and slack for each activity. (5 points)(Complete and copy table into your submission.)
ACTIVITY

ACTIVITY TIME

ES

EF

LS

LF

Slack

A

B

C

D

E

F

G

H

I

J

K

L

Determine the critical path and project completion time. (10 points)
Determine the probability that the project will be done in 60 hours or less. (2 points)
Determine the probability that the project will be done in 72 hours or less. (2 points)
Determine the probability that the project will be done in 84 hours or less. (2 points)
Determine the probability that the project will be done in 96 hours or less. (2 points)
Based on the information provided and the calculations done, make a final report for Emma that explains to her the situation at hand. (17 points)