Is this computer suitable for a graphic designer?

Lenovo - 15.6" Touch-Screen Laptop - Intel Core i7 - 8GB Memory - 1TB Hard Drive…

I need to run Adobe Photoshop, InDesign, and Illustrator. Occasionally, I have to run other Adobe programs, but these are my main ones.

I need something that allows me to have these programs running AT THE SAME TIME, and not have lagging going on…

Any advice? Opinions?

No. It has no graphics card, meaning it will run those programs slowly, especially simultaneously. The i7 is probably a weak version, especially if it's a touch screen laptop ( The processor has to be a low power version so the touch screen has plenty of power to use. )

For $900, this will have more than enough power:
http://shop.lenovo.com/...:00011E0B:

It has a high end mobile i7 processor. ( sometimes, intel tries to trick you with the "i7" mark. Their low end i7 processors can't even compete with a mid level i5 processor. ) The i7-4700MQ is on the high end spectrum of the i7 mobile line, ensuring excellent performance. It also comes with a solid graphics card, a solid state drive for fast booting, 8 GBs of RAM and 1 TB of storage.