To be in a care home (certainly of funded by the LA) you would expect someone to have a level of need which means they need support available all the time, or close to. If you can manage at home with 4 visits a day from carers that's all the LA will fund.
There are 168 hours in a week, so at 1kish that's under £6 per hour for care / food / laundry / accommodation / heating / cleaning.
A room in a house share near me costs around £100 - 175, including bills. So that takes it down to about £5 per hour for care.
Take off say £10 a day for food, another say £20 a week for cleaning, £5 for laundry. That's £4.50 per hour for care.
Also need to pay a proportion of the cost for care home manager, deputy, kitchen staff, care taker etc. let's say a total of 2k per week? So for a home with 40 residents that's another £50.
So we are now down to £4.20 per hour for the actual carers. Carer's probably actually get £9-12 per hour but will cost the company a bit more than that for training, pensions, payroll etc.
There are other costs I've not included I'm sure.
So one person's 1k actually probably pays for maybe 1/3rd of a carer per hour? If that?
I don't know if that's good value but if you pay for care at home you are probably paying around £30 an hour for the care you receive, so would get maybe 24 hours, 3.5 hours a day for the same care costs.