45K gross , i believe your take home pay would be arround 2700/ month which equates to QAR 16000

so 36000-16000= 20000

post modernman is right- 2 bedroom fully furnished apartment in west bay is around 12K (all inclusive)

20000-12000 = 8000/(5.90)

you are 1400 pounds better off excluding any bonuses.
if you are single, i would go for it.
try negotiate bit more if you can.i.e if you dont have kids, company is saving some money on that (school fees) , mention the abvious to your company and you might be able to get some extra.

i did the same and managed to get 20% extra than they intially offered

hope this helps
over all its not a bad package.

Cheers