Dell is not liable for loss of use -- there is no coverage during replacement.   And Dell did not manufacture the system - a contractor did, for Dell -- just as with  almost all other notebooks. You can also ask for a refund -- and then replace the system yourself with one of your choosing.  
I purchased a dell new laptop (model 3511 inspiron) 1.5 months back from the dell authorised dealer. Suddenly It started giving problems with the hinges and now i am even unable to open the laptop due the damage in the hinges. I registered a complain on the customer care and they assured me to get it repaired with in 7-8 days. After 10 days when there was no reply from them , i called them about the status, they said that parts are not available with dell who manufactured the laptop. Now after multiple followup calls they are offering replacement because of unavailability of parts with company but again as per dell policy it will take another 50-60 days to replace it. Now i want to ask dell, what i would do till i get the replacement , who will bear the loss  ?
Problem with Hinges Inspiron 3511