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For what minimal cost can 8 workers be instructed to operate machines?
There are 5 different machines in the workshop. It costs 1000 euros to teach a worker to operate any one of the machines. For what minimal cost can 8 workers be instructed to operate machines so that all the machines can operate simultaneously even if any 3 of the workers are absent? Each worker can operate only one machine at a time.
3 Answers
- ??????Lv 71 decade agoFavorite Answer
The minimal cost is 20000 euros !
Every machine must be learned by 4 workers, because if not the 3 workers are less that know the machine can be ill or absent. So 5x4=20 is the minimal cost in educations. This is also sufficient because
W1 : M1 M4 M5
W2 : M1 M4
W3 : M1 M3 M5
W4 : M1 M3
W5 : M2 M3 M5
W6 : M2 M3
W7 : M2 M4 M5
W8 : M2 M4,
is a possible configuration that always works !
- 1 decade ago
There are 5 machines, and at a minimum 4 workers must be trained for each machine. So that's 20 training sessions at 1000 apiece, which adds up to 20000 euros.
- Anonymous1 decade ago
2000
