I've had this problem with an LG monitor - in the end a power supply fault developed and they had to replace it - lucky me...
In my opinion, they are in breach of the Sale of Goods Act, which states "Goods...must be free from defects....". Yours clearly isn't.
The price you paid for your lappy is the same as the price others pay for perfect products, I say the policy is cheating the system.
Clearly Dell CAN supply hundreds, or thousands, of "perfect" laptops and monitors, and they in turn would have a come-back on their suppliers. I can't believe a company of their size and reputation resorts to hiding behind such a policy, which is designed to cheat the consumers out of their rights.