"Anyone on benefits should have a duty to minimise the costs to the tax payer by living in a low cost area and trying to get a job in another area."
Let's begin shooting the fish in this particular barrel with perhaps the most obvious point.
Who will businesses employ?
People in expensive areas who loose their jobs will have a duty to move somewhere cheaper. So people in London who become unemployed will have to move away.
So if my business needs a new person to work in London who will I employ? The only people left there will be those who aren't on benefits, so those already in a job or those who don't need one.
You need a pool of people looking for work so that a business can find it's staff.
And then how will the people who live in London feel about this?
London and the SE, the area I believe you would classify as expensive, are net wealth generators for the Government. They generate more money for the Government than they receive in spending.
Cheaper areas such as the North are net wealth consumers for the Government. The receive more in spending than they generate in Government income.
So the people in the SE are all good when they're funding this country but the moment they need some help they get ripped away from their social structures and sent to live somewhere else.
The only party who would consider doing something like this would be the Tory party but doing it would break their support in the SE and London and ruin the party.
Quite, quite ridiculous.