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Home > Operation Research calculators > Critical path, Total float, Free float, Independent float calculator
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Solution
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Solution provided by AtoZmath.com
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Critical path, Total float, Free float, Independent float calculator
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1. An assembly is to be made from two parts X and Y. Both parts must be turned on a lathe
Y must be polished where as X need not be polished. The sequence of acitivities, together with their
predecessors, is given below
| Activity |
Description |
Predecessor Activity |
| A |
Open work order |
- |
|
B |
Get material for X |
A |
|
C |
Get material for Y |
A |
|
D |
Turn X on lathe |
B |
|
E |
Turn Y on lathe |
B,C |
|
F |
Polish Y |
E |
|
G |
Assemble X and Y |
D,F |
|
H |
Pack |
G |
Draw a network diagram of activities for the project.
2. An established company has decided to add a new product to its line. It will buy the
product from a manufacturing concern, package it, and sell it to a number of distributors that have been
selected on a geographical basis. Market research has already indicated the volume expected and the size
of sales force required. The steps shown in the following table are to be planned.
| Activity |
Description |
Predecessor Activity |
Duration (days) |
| A |
|
- |
14 |
|
B |
|
A |
4 |
|
C |
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B |
2 |
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D |
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C |
1 |
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E |
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A |
2 |
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F |
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E |
3 |
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G |
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E |
2 |
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H |
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E |
4 |
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I |
|
H,L |
3 |
|
J |
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K |
12 |
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K |
|
D,F,G |
4 |
|
L |
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J |
2 |
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M |
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H,L |
2 |
(a) Draw an arrow diagram for the project.
(b) Indicate the criticla path.
(c) For each non-critical activity, find the total and free float.
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