Question 68
A family wears three colours of clothing: red, blue and green, with a separate laundry bin for each colour. Each week, the family generates a total of $K$ kilogrammes of laundry (the proportion of each colour is subject to variation). The laundry is first sorted by colour and disposed of in the bins. Next, the heaviest bin is emptied and its contents washed. What is the storing capacity required of the laundry bins if they must never overflow?