Question

5.)

Consider a project whose activities are listed in the table below. Activity A will have slack time as long as…
  

Activity	Immediate Predecessors
A	None
B	None
C	A
D	B
E	C, D
F	E
G	E

	a.	Duration of A < Duration of B
	b.	Duration of A + Duration of C > Duration of B + Duration of D
	c.	Duration of A + Duration of C < Duration of B + Duration of D
	d.	Duration of A <= Duration of B + Duration of D

6.)

1. Consider a project whose activities are listed in the table below. In order to ensure that the project is completed on time, Activity B must start, at the latest, by time…
     

   Activity	Immediate Predecessors	Duration
   A	None	10
   B	None	3
   C	B	2
   D	C	2
   E	D	2
   F	A, E	4
   G	F	4

A.) 0 B.) 1 C.) 2 D.) 3

7.)

Path A-B-M-P is the one and only critical path of a project. Which of the following statements do we know for certain to be TRUE of this path?   (Assume that activity durations are measured in full days - no half days).

	a.	Reducing the duration of an activity on this path by one day will reduce the duration of the project by one day.
	b.	None of these answers will always be true
	c.	Reducing the duration of an activity on this path by four days will reduce the duration of the project by four days.
	d.	For some but not all of the activities on this path, reducing the duration of the activity by a day will reduce the duration of the project by a day (i.e., for some of the activities on this path, reducing them by a day won't reduce the project by a day.)
	e.	All of the these answers will always be true

8.)

Consider the following project; for which activities is it possible that the slack can be greater than zero?

Activity	Immediate Predecessors
A	None
B	A
C	B
D	C
E	A
F	D, E

	a.	It is possible for any or all activities in this project to have slack.
	b.	It is possible for either all three of activities B,C and D to have slack, OR for activity E to have slack.
	c.	Only activities B or E could have slack, but they could not both have slack.
	d.	Only activities D or E could have slack, but they could not both have slack.
	e.	Only activities A or F could have slack, but they could not both have slack.

9.)

1. Consider the following project. Assume indirect costs to be $10,000 per week, and that there are no penalty costs for late completion. Total “normal” direct costs, to complete the project in “normal” time, are $200,000; they would like to “crash” the project as long as it saves money (i.e. find the MINIMUM COST SCHEDULE). What would be the total REDUCTION in project duration and the REDUCTION in total project costs if the project is crashed to achieve the minimum cost schedule?  

   * (Note that the table provides normal time, maximum amount that normal time can be reduced by, and cost per week to reduce normal time.)

   Activity	Immediate Predecessors	Normal Time (weeks)	Max Possible Time Reduction (weeks)	Cost of Crashing per Week ($)
   A	None	7	2	12,000
   B	None	6	2	3,000
   C	None	8	4	9,000
   D	A, B	4	3	7,000
   E	C	6	3	4,000
   F	D	7	1	4,000
   G	E	5	2	9,000
   H	F, G	4	1	6,000
   I	G	2	1	3,000

   
   For the sake of ensuring that you start on the right foot, the paths and durations are as follows:
   A-D-F-H = 22 weeks
   B-D-F-H = 21 weeks
   C-E-G-H = 23 weeks
   C-E-G-I = 21 weeks
   
   Please answer the following with whole number answers (no decimals or dollar signs or commas).
   The minimum cost schedule reduces the project duration by________weeks and saves________ dollars from the original “normal cost” of the project.

Answer 1