Task No. Task Name Task Duration(Days) Immediate Predecessor task 1 Preliminary system description 40 — 2 Develop specifications 100 1 3 Client approval 50 2 4 Develop input-output summary 60 2 5 Develop alarm list 40 4 6 Develop log formats 40 3, 5 7 Software definition 35 3 8 Hardware requirements 35 3 9 Finalize input-output summary 60 5, 6 10 Analysis performance calculations 70 9 11 Automatic turbine startup analysis 65 9 12 Boiler guides analysis 30 9 13 Fabricate and ship 200 10, 11, 12 14 Software preparation 80 7, 10, 11 15 Install and check 130 13, 14 16 Termination and wiring lists 30 9 17 Schematic wiring lists 60 16 18 Pulling terminals and cables 60 15, 17 19 Operational test 125 18 20 First firing 1 19 Therefore, Critical Path = 1-2-4-5-6-9-10-13-15-18-19-20 Note: tj is the original duration of task j; dj is the minimum duration of task j. Expediting Costs ($1,000) and Limits Task no. current tj min dj cost to decrease tj by X days 2 100 70 1.5x^1.8 6 40 20 2x^2.0 7 35 20 1.x^2.0 10 70 40 1.8x^1.9 14 80 60 1.9x^1.6 15 130 120 0.95x^2.7 19 125 80 0.9x^2.9 Expediting tasks can be profitable and necessary to meet deadlines, although employees do not really like it. Task completion quality is a function of the task completion time, and we would like to have a high quality. This may conflict with our objective of maximizing profit. Because quality affects future revenues, it is difficult to estimate the dollar impact of poor quality. If tj is the original duration of task j and Xj is the expedited duration time for task , then quality, measured on a scale of 0–100 (with 100 being the best), can be represented by the function 100 − min [100,(tj − xj)^2.2] This is only the quality for a task. It is unclear how one might quantify the quality of the project. How are you measuring system quality, and how does your recommendation measure up relative to that objective?

Task No. Task Name Task Duration(Days) Immediate Predecessor task 1 Preliminary system description 40 — 2 Develop specifications 100 1 3 Client approval 50 2 4 Develop input-output summary 60 2 5 Develop alarm list 40 4 6 Develop log formats 40 3, 5 7 Software definition 35 3 8 Hardware requirements 35 3 9 Finalize input-output summary 60 5, 6 10 Analysis performance calculations 70 9 11 Automatic turbine startup analysis 65 9 12 Boiler guides analysis 30 9 13 Fabricate and ship 200 10, 11, 12 14 Software preparation 80 7, 10, 11 15 Install and check 130 13, 14 16 Termination and wiring lists 30 9 17 Schematic wiring lists 60 16 18 Pulling terminals and cables 60 15, 17 19 Operational test 125 18 20 First firing 1 19 Therefore, Critical Path = 1-2-4-5-6-9-10-13-15-18-19-20 Note: tj is the original duration of task j; dj is the minimum duration of task j. Expediting Costs ($1,000) and Limits Task no. current tj min dj cost to decrease tj by X days 2 100 70 1.5x^1.8 6 40 20 2x^2.0 7 35 20 1.x^2.0 10 70 40 1.8x^1.9 14 80 60 1.9x^1.6 15 130 120 0.95x^2.7 19 125 80 0.9x^2.9 Expediting tasks can be profitable and necessary to meet deadlines, although employees do not really like it. Task completion quality is a function of the task completion time, and we would like to have a high quality. This may conflict with our objective of maximizing profit. Because quality affects future revenues, it is difficult to estimate the dollar impact of poor quality. If tj is the original duration of task j and Xj is the expedited duration time for task , then quality, measured on a scale of 0–100 (with 100 being the best), can be represented by the function 100 − min [100,(tj − xj)^2.2] This is only the quality for a task. It is unclear how one might quantify the quality of the project. How are you measuring system quality, and how does your recommendation measure up relative to that objective?

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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Related questions

Question

Task No.	Task Name	Task Duration(Days)	Immediate Predecessor task
1	Preliminary system description	40	—
2	Develop specifications	100	1
3	Client approval	50	2
4	Develop input-output summary	60	2
5	Develop alarm list	40	4
6	Develop log formats	40	3, 5
7	Software definition	35	3
8	Hardware requirements	35	3
9	Finalize input-output summary	60	5, 6

10	Analysis performance calculations	70	9
11	Automatic turbine startup analysis	65	9
12	Boiler guides analysis	30	9
13	Fabricate and ship	200	10, 11, 12
14	Software preparation	80	7, 10, 11
15	Install and check	130	13, 14
16	Termination and wiring lists	30	9
17	Schematic wiring lists	60	16
18	Pulling terminals and cables	60	15, 17
19	Operational test	125	18
20	First firing	1	19

Therefore, Critical Path = 1-2-4-5-6-9-10-13-15-18-19-20

Note: t_j is the original duration of task j; d_j is the minimum duration of task j.

Expediting Costs ($1,000) and Limits

Task no.	current t_j	min d_j	cost to decrease t_j by X days
2	100	70	1.5x^1.8
6	40	20	2x^2.0
7	35	20	1.x^2.0
10	70	40	1.8x^1.9
14	80	60	1.9x^1.6
15	130	120	0.95x^2.7
19	125	80	0.9x^2.9

Expediting tasks can be profitable and necessary to meet deadlines, although employees do not really like it. Task completion quality is a function of the task completion time, and we would like to have a high quality. This may conflict with our objective of maximizing profit. Because quality affects future revenues, it is difficult to estimate the dollar impact of poor quality. If t_j is the original duration of task j and Xj is the expedited duration time for task , then quality, measured on a scale of 0–100 (with 100 being the best), can be represented by the function 100 − min [100,(tj − xj)^2.2] This is only the quality for a task. It is unclear how one might quantify the quality of the project.