No one else can really say, especially since you are planning on going shopping. We don't know what you'll buy or how much you'll buy. There are shops in Vegas where you could spend $3000 on a single pair of shoes.
You can easily spend $150 a night clubbing, and you really should plan for at least $50-75 a day (at a minimum) for food - more if you'll be drinking a lot every day.
I assume you might do other things like gamble, see a show, visit an attraction or museum, and those will all require some funds too.
I know that I could get buy on $300 a day in Vegas but I know that not everyone can.
And FWIW, I'd consider looking into some other things to do on this trip. 10 days is a LONG time in Vegas - there isn't THAT much to do there and it wears on you quickly. You might want to consider an overnight to the Grand Canyon, or even taking some time to drive to LA for a day or two.