max80228

Hi heres a little history- about three months ago i had my alternator replaced. I also had my battery replaced as well- about two weeks later i went out of town for three days and when i went to start my max it was completely dead? So I called the shop where my alternater was replaced and they said it was a bad battery. they swapped out the battery. About two weeks later didnt drive the car for two days no power at all again? Jumped the car took it to three places, Autozone, Checker, advance auto- they all said the alternator was good but the battery wasnt- so I purchased another new battery from Advance auto only to have the same problem today. Its snowing here ion denver today. Todays was different I started the car and as I was sweeping off the snowit started running like it was going to die- i got in the car gave it some gas and all the dash lights were rapidly dimming and the car died. I asked a neigbor to jump me and he did I let it run for 5 mins attached to his car and then disconnected-within 45 sec it was running like crap and the power was gone again! So can someone please help me? Do i have a bad alternator? Also i do not have anything aftermarket- no alarm other than stock no radio other than stock ect! Also i have owned this car for 5 years and never ever had any problems. Thanks