Very difficult. I would suggest you can only get this by testing as your cooling technique particularly will be crucial to deciding the food safety.
For rice, the key things will be food safety first over food quality. You could test this but I would wager that you could keep cooked rice for 3-5 days, maybe even as many as 10 days, covered in single use containers chilled to less than 5 degrees without significant deterioration in the eating quality, however, this rice should be cooled quickly after eating and as I suggested, I would not put it into a container you mean to "dip into" and if reheated the rice should only be reheated once and very quickly.
However, as rice is the absolute typical food to cause Bacillus cereus food poisoning, I would be very cautious. If you are producing food for vulnerable groups, (e.g. kids or the elderly) I wouldn't bother, I mean, how hard is it to cook rice to requirements? It takes 10 mins! So if you're serious about this and you want to ensure safety, I would design some experiments and send it to a local microbiological lab (particularly for B. cereus but also other indicator groups, e.g. TVC, enteros or coliforms etc.) Micro testing isn't that expensive and it's easy to do. It can also give you a bit of confidence in your process. By doing this in fact you would be validating your process as designed for your HACCP study. Certainly I would not take someone's suggestion on here as being "the answer" for your shelf life question without further work in your facility.
Note, I would not try and obtain more than 10 days shelf life (and would probably guess in a catering non high / low risk segregated environment that it would be advisable to go for less) due to the risk of Clostridium botulinum. Although the rice would presumably be packed in an aerobic environment, if there is a large amount, there can be anaerobic "pockets" and 10 days is normally considered the absolute maximum for low acid chilled foods if a botulinum cook is not acheived or other hurdle factors aren't employed.