With Bing or anyone. You need a high paying product so that even if only 1 in 1000 purchase you still make a profit of at least 10% of that.
You would normally make more depends on the affiliate. Something that sells for around $1000 then 10% gets you $100.
And 1000 clicks shouldn't cost you $100 should it? So you should be able to make a profit. Especially if you get more than 1 sell per 1000 clicks/visits.
How much would 1000 clicks/visits cost you from a Bing or Google Adwords campaign?