Is there a method or plugin for shipping based on cart weight and destination?

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For example, if I want to ship to a zone it will cost

(zone flat rate) + (cart weight in grams) * (zone cost per gram)

but for a different zone I can have a different (zone flat rate) and (zone cost per gram)?

Alternatively (but less good), is there a way to do shipping based on each product in the cart per destination zone?

e.g. Product 1 to Zone A costs $5 + 3 * [qty]
e.g. Product 2 to Zone A costs $2 + 2 * [qty]
e.g. Product 2 to Zone B costs $7 + 5 * [qty]

Thanks for any help.