Answered: If the athletic director plans to start…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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I ONLY NEED HELP WITH PART. (D) Please and thank you.

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Due to population growth in the area, the new Liberty High School has just opened in a local school district. The athletic director at Liberty High is planning the launch of the school's track and field team. The first team practice is scheduled for April 1. The activities, their immediate predecessors, and the activity time estimates (in weeks) are listed in the following table.

Activity	Description	Immediate Predecessor	Optimistic	Most Probable	Pessimistic
			Time (Weeks)
A	Meet with board		1	1	2
B	Hire coaches	A	4	6	8
C	Conduct fundraiser	A	2	4	6
D	Announce program	B, C	1	2	3
E	Meet with coaches	B	2	3	4
F	Order team equipment	A	1	2	3
G	Register athletes	D	1	2	3
H	Reserve buses for meets	G	1	2	3
I	Plan first practice	E, H, F	1	1	1

(a)

Draw a project network.

A project network with 11 activities and 13 directed arcs is shown.

Activity Start is connected to activity A.
Activity A is connected to activity B, to activity C, and to activity F.
Activity B is connected to activity E.
Activity C is connected to activity D.
Activity D is connected to activity G.
Activity E is connected to activity G and to activity I.
Activity F is connected to activity I.
Activity G is connected to activity H.
Activity H is connected to activity I.
Activity I is connected to activity Finish.
Activity Finish has no arcs directed to other activities.

A project network with 11 activities and 13 directed arcs is shown.

Activity Start is connected to activity A.
Activity A is connected to activity B, to activity C, and to activity F.
Activity B is connected to activity D and to activity E.
Activity C is connected to activity D.
Activity D is connected to activity G.
Activity E is connected to activity I.
Activity F is connected to activity I.
Activity G is connected to activity H.
Activity H is connected to activity I.
Activity I is connected to activity Finish.
Activity Finish has no arcs directed to other activities.

A project network with 11 activities and 14 directed arcs is shown.

Activity Start is connected to activity A.
Activity A is connected to activity B, to activity C, and to activity F.
Activity B is connected to activity E.
Activity C is connected to activity D and to activity E.
Activity D is connected to activity G.
Activity E is connected to activity G and to activity I.
Activity F is connected to activity I.
Activity G is connected to activity H.
Activity H is connected to activity I.
Activity I is connected to activity Finish.
Activity Finish has no arcs directed to other activities.

A project network with 11 activities and 13 directed arcs is shown.

Activity Start is connected to activity A.
Activity A is connected to activity B, to activity C, and to activity F.
Activity B is connected to activity E.
Activity C is connected to activity D and to activity E.
Activity D is connected to activity G.
Activity E is connected to activity I.
Activity F is connected to activity I.
Activity G is connected to activity H.
Activity H is connected to activity I.
Activity I is connected to activity Finish.
Activity Finish has no arcs directed to other activities.

(b)

Develop an activity schedule. (Round your answers to two decimal places.)

Activity	Earliest Start	Latest Start	Earliest Finish	Latest Finish	Slack
A
B
C
D
E
F
G
H
I

(c)

What are the critical activities? (Enter your answers as a comma-separated list.)

A,B,D,G,H,I

What is the expected project completion time (in weeks)? (Round your answer to two decimal places.)

weeks

(d)

If the athletic director plans to start the project on January 1, calculate the probability the track and field team will be ready by the scheduled April 1 date (13 weeks) based solely on the critical path. (Round your answer to four decimal places.)

Should the athletic director begin planning the track and field team before January 1? (The probability for finishing on schedule should be at least 0.9.)

Since the probability that the track and field team will be ready by April 1 is than 0.9, the athletic director begin planning before January 1.

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