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Schedule the project described in the following table, subject to a resource constraint of 16 men. Any man can work on any task. For a
Schedule the project described in the following table, subject to a resource constraint of 16 men. Any man can work on any task. For a given job, any crew size within, and including, the stated limits may be selected, if it is exactly divisible into the resource requirement. ( For example, job b requires 24 mandays. A crew size of 2, 3, 4, or 6 is permissable, but not 5 ). Crew sizes do not effect efficiency. The schedule length is to be minimized within the given resource LIMIT and keeping the technological constraints ( the ordering of Tasks) unaltered. Find the number of idle man-days.
Task | Immediate Predecessor | Resource Requirements (man-days) | Range of Permissable Crew Sizes | |
Minimum | Maximum | |||
A | -- | 45 | 5 | 15 |
B | A | 24 | 2 | 6 |
C | A | 96 | 4 | 12 |
D | A | 50 | 2 | 10 |
E | D | 30 | 2 | 10 |
F | C | 60 | 4 | 12 |
G | C | 12 | 1 | 6 |
H | B | 35 | 5 | 7 |
I | F | 42 | 3 | 14 |
J | G, E | 24 | 3 | 8 |
K | I, J | 20 | 2 | 10 |
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