Secretive Shopkeeper VI

This is part of the Secretive Shopkeeper set

You enter a shop, and see from the display that umbrellas cost $£u$ , vacuum cleaners cost $£v$ , washing machines cost $£w$ , xylophones cost $£x$ , yachts cost $£y$ and zebras cost $£z$ . You tell the shopkeeper that you want to buy 1 umbrella, 1 vacuum cleaner, 1 washing machine, 1 xylophone, 1 yacht and 1 zebra but you don't know what the cost is. He tells you the following:

1. If you buy $v$ umbrellas, $w$ vacuum cleaners, $u$ washing machines, $y$ xylophones, $z$ yachts and $x$ zebras, it will cost you £1,569,532,913.
2. If you buy $u$ umbrellas, $v$ vacuum cleaners, $w$ washing machines, $x$ xylophones, $y$ yachts and $z$ zebras, it will cost you £75,657,430,199.
3. If you perform a refund for $u+v+w$ umbrellas, $u+v+w$ vacuum cleaners, $u+v+w$ washing machines, as well as buying $x+y+z$ xylophones, $x+y+z$ yachts and $x+y+z$ zebras, you will pay £78,796,343,673.

What is the cost of 1 umbrella, 1 vacuum cleaner, 1 washing machine, 1 xylophone, 1 yacht and 1 zebra?

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Details:

• $u,v,w,x,y,z$ are positive integers
• If you underpay him, he will call the police
• If you overpay him, he will keep the extra money