Question: Bragg's Bakery is building a new automated bakery in downtown Sandusky. Here are the activities that need to be completed to get the new bakery built and the equipment installed.
Activity
|
Predecessor
|
Normal time (weeks)
|
Crash time (weeks)
|
Expediting cost/week
|
A
|
-
|
9
|
6
|
$3,400
|
B
|
A
|
10
|
8
|
4,200
|
C
|
A
|
4
|
2
|
4,400
|
D
|
B, C
|
7
|
4
|
2,400
|
E
|
C
|
6
|
3
|
2,800
|
F
|
D, E
|
2
|
1
|
4,700
|
a. Identify the critical path.
A-B-D-F
A-C-D-F
A-C-E-F
b. What is the normal project length in weeks?
c. What is the project length if all activities are crashed to their minimum in weeks?
d. Bragg's loses $3,600 in profit per week for every week the bakery is not completed. How many weeks will the project take if we are willing to pay crashing cost as long as it is less than $3,600?