You have been asked to determine how long a project will take to be completed. This project consists of 11 tasks of varying time durations (measured in days) that must all be completed. Unfortunately, not all tasks can be done at the same time (although some can be done in parallel); certain predecessor tasks must be completed before others can be started. The table below gives the duration and predecessors for each task. Thus, for example, task J cannot begin before each of tasks F, G, and H are completed. How quickly can this entire project be completed? Task Duration Immediate Predecessors A 2 None B A 5 D E F 4 G 2 H 6. С, F F, G, H I, J I 8. J 6. K a) Formulate a linear programming model for this problem. Please help me to solve this question using 1)Decision Variable 2)Objective Function 3)Constraints BDEE

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Please help me to solve this question using 1)Decision Variable 2)Objective Function 3)Constraints
You have been asked to determine how long a project will take to be completed. This project
consists of 11 tasks of varying time durations (measured in days) that must all be completed.
Unfortunately, not all tasks can be done at the same time (although some can be done in parallel);
certain predecessor tasks must be completed before others can be started. The table below gives
the duration and predecessors for each task. Thus, for example, task J cannot begin before each of
tasks F, G, and H are completed. How quickly can this entire project be completed?
Task
Duration
Immediate Predecessors
2
None
3
A
5
3
B
F
4
D
2
6.
E
E
С, F
F, G, H
I, J
8.
J
6.
a) Formulate a linear programming model for this problem.
Please help me to solve this question using 1)Decision Variable 2)Objective Function 3)Constraints
ABCDE CHI-K
Transcribed Image Text:Please help me to solve this question using 1)Decision Variable 2)Objective Function 3)Constraints You have been asked to determine how long a project will take to be completed. This project consists of 11 tasks of varying time durations (measured in days) that must all be completed. Unfortunately, not all tasks can be done at the same time (although some can be done in parallel); certain predecessor tasks must be completed before others can be started. The table below gives the duration and predecessors for each task. Thus, for example, task J cannot begin before each of tasks F, G, and H are completed. How quickly can this entire project be completed? Task Duration Immediate Predecessors 2 None 3 A 5 3 B F 4 D 2 6. E E С, F F, G, H I, J 8. J 6. a) Formulate a linear programming model for this problem. Please help me to solve this question using 1)Decision Variable 2)Objective Function 3)Constraints ABCDE CHI-K
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