Wikipedia:Reference desk/Archives/Mathematics/2023 August 5

Welcome to the Wikipedia Mathematics Reference Desk Archives
The page you are currently viewing is a transcluded archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages.

August 5

Assuming someone can work a max of 8 hours per day and a max of 5 days per week, how many workers are needed to make sure there is always 2 persons working at any given time?

Assuming someone can work a max of 8 hours per day and a max of 5 days per week, how many workers are needed to make sure there is always 2 persons working at any given time?179.134.100.80 (talk) 20:34, 5 August 2023 (UTC)

in real life you'd have to cater for holidays and sick leave too. And a lunch break.

Anyway here we can say 168 hours with 2 working every hour at 40 hours per worker which gives at least 8.4 workers, or 9 since you can't employ .4 of a worker. You could employ 6 for 5 days a week and 3 at 4 days a week.

Say ABCDEF are 5 day workers and GHI are four day then the 8 hour shifts could be

AB CD EF

AB CD EF

AB CD EF

AB CG HI

AB CG HI

DE FG HI

DE FG HI

Not good for their health either changing shifts like that! NadVolum (talk) 21:13, 5 August 2023 (UTC)