Join To Select A 'weighted' Column

Perhaps is just brain drain but i cannot seem find an efficient query to join two tables (inv and supplier) such that an inv item can have multiple suppliers and i would like to choose the prefered supplier based on the current 'weight' column.

declare @inv table (item varchar(50), supplierid int)

declare @supplier table (supplierid int, weight int)

set nocount on

insert into @inv values ('item1', 1)

insert into @inv values ('item1', 2)

insert into @inv values ('item2', 2)

insert into @inv values ('item2', 3)

insert into @supplier values(1, 30)

insert into @supplier values(2, 20)

insert into @supplier values(3, 10)

-- the query should return the item and the supplierid associated to the lowest weight
-- item1 -> supplier 2
-- item2 -> supplier 3

select item, ps2.supplierid from @supplier ps2 join

(select item, min(ps.weight)'weight'

from @inv inv join @supplier ps on inv.supplierid=ps.supplierid

group by item) iw on ps2.weight=iw.weight

Is there a better alternative to this?

Thanks in advance,

Mike