PM.57 The activities needed to develop a new software application are listed in the following table with the activity times and their order in which the activities need to be performed:

Activity	Duration (weeks)	Immediate Predecessor(s)
A	1	-
B	10	A
C	5	A
D	11	A
E	4	A
F	11	B,C
G	9	D,E
H	4	F,G

What is the overall duration of the project (in weeks)? weeks What is the earliest week you could start activity G? (Write the week number in the field below.) What is the earliest week you could finish activity G? What is the latest week you could start activity C? What is the latest week you could finish activity A? What is the slack time for activity G? weeks What would be the overall duration of the project if activity E were increased by 5 weeks, from 4 to 9 weeks? weeks What would be the overall duration of the project if activity D were increased by 3 weeks, from 11 to 14 weeks? weeks

PM.58 Tech Solutions XYZ makes accessory products for tablet computers. Below are all the activities required to develop a new wireless keyboard and cover combination:

Activity	Duration (days)	Immediate Predecessor(s)
A	8	-
B	12	-
C	4	-
D	3	A
E	3	C
F	12	B,D,E
G	19	D,E
H	5	F
I	5	G,H
J	17	I

What is the overall duration of the project (in days)? days What is the earliest day you could start activity G? (Write the day number in the field below.) What is the earliest day you could finish activity G? What is the latest day you could start activity A? What is the latest day you could finish activity C? What is the slack time for activity D? days What would be the overall duration of the project if activity F were increased by 5 days, from 12 to 17 days? days

PM.61 Rob Smith is managing a small project at Boston University. He is under pressure to shorten the overall duration of the project by 4 weeks and he wants to do so at the lowest cost possible. In order to meet this objective a number of activities must be crashed.

Activity	Normal Time (weeks)	Crashed Time (weeks)	Normal Cost	Crashed Cost	Predecessor(s)
A	6	5	$800	$1,100	-
B	5	3	$300	$500	-
C	6	5	$600	$775	-
D	5	3	$950	$1,250	A
E	6	3	$1,350	$3,150	C
F	3	2	$900	$1,100	B

What is the duration of the project (in weeks)?

What is the target duration of the project (after crashing the project)?

By how many weeks should activity A be crashed?

By how many weeks should activity B be crashed?

By how many weeks should activity C be crashed?

By how many weeks should activity D be crashed?

By how many weeks should activity E be crashed?

By how many weeks should activity F be crashed?

What is the total cost of crashing the project 4 weeks (just the additional cost, not total project cost)? (Display your answer to two decimal places.)

PM.64 The US government has contracted with Raytheon to build its new Peacekeeper 2 ballistic missile. The project has been laid out with durations (in weeks), predecessors, and costs included:

Activity	Normal Time (weeks)	Crashed Time (weeks)	Normal Cost	Crashed Cost	Predecessor(s)
A	4	3	$2,100	$3,450	-
B	10	8	$6,100	$7,150	A
C	7	5	$3,800	$4,400	B

Which activity is the least desirable crashing candidate?

		B
		A
		C

In order to reduce the project's overall duration by one week, at the lowest cost possible, which activity should you crash?

		C
		B
		A

How much would it cost to crash the project by one week?

How much would it cost to crash the project by three weeks?

How much would it cost to crash the project by five weeks?

PM.66 Real estate developer Russell Call was working with a few contractors to make a number of improvements to one of his rental properties. After gathering information from these contractors he determined the following durations, predecessors, and costs of all the required activities:

Activity	Normal Time (weeks)	Crashed Time (weeks)	Normal Cost	Crashed Cost	Predecessor(s)
A	3	2	$1,100	$3,300	-
B	6	5	$2,040	$2,580	-
C	3	2	$1,300	$2,400	-
D	7	3	$2,200	$2,500	A
E	6	3	$1,800	$2,100	B
F	3	2	$4,050	$5,420	C
G	4	2	$1,650	$1,900	D, E

What is the overall duration of the project?

Which of the following activities has the lowest crash cost per week?

		E
		C
		A
		D

Which of the following activities has the highest crash cost per week?

		C
		F
		B
		G

If you wanted to shorten the overall duration of the project, which activity should you crash first?

		C
		A
		D
		B
		E

What is the total cost of crashing the project from its current duration down to 13 weeks?

What is the total cost of crashing the project from its original duration to 11 weeks?