How long does it take for site optimization?

The duration of the optimization process basically depends upon the link building work which has been done, and the amount of promotional work completed. You do not always need a lot of inbound links. Sites can aim at improving their ranking without going overboard on their SEO. One of the more affordable and simple choices available is the PPC marketing. It is an effective strategy which can help in gaining positions in search engines. However, this also depends on the expertise of the SEO working on the site. How much time does it take for you on an average?

I'm not pretty sure, but I guess its about 3-4 months. I think that's the minimum time frame in order for you site to be fully optimized. 

yes it will tak at list 5 month according to me

It depends on you keywords and competitors, I'd say - half a year

This really depends on the nature and quality of your site and your budget. You can get listed right away by a search engine advertising system via "sponsor links," but it will cost you money!