Will this PC setup run UE4 well?

I post yesterday and I was told that i was being too cheap with the computer that I wanted to build.
This is the most amount of money I can afford at the moment and I was wondering if somebody could tell me if this would run Unreal Engine 4 well and efficiently.
Thank you
http://pcpartpicker.com/p/3GBnh
or here are the parts

CPU: Intel Core i5-4670 3.4GHz Quad-Core Processor ($204.99 @ Amazon)

Motherboard: MSI B85M-G43 Micro ATX LGA1150 Motherboard ($74.49 @ Amazon)

Memory: Pareema 16GB (2 x 8GB) DDR3-1333 Memory ($134.99 @ Newegg)

Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($54.43 @ OutletPC)

Video Card: VisionTek Radeon HD 7850 2GB Video Card ($189.99 @ Amazon)

Case: Thermaltake Versa H22 Window ATX Mid Tower Case ($57.98 @ Newegg)

Power Supply: Cooler Master i600 600W 80+ Bronze Certified ATX Power Supply ($72.99 @ NCIX US)

Optical Drive: Lite-On iHAS124-04 DVD/CD Writer ($19.98 @ OutletPC)

Monitor: Acer G246HLAbd 60Hz 24.0" Monitor ($138.24 @ TigerDirect)

Case Fan: Cougar Vortex PWM 70.5 CFM 120mm Fan ($13.97 @ OutletPC)

Keyboard: Microsoft Keyboard 200 Wired Standard Keyboard ($9.99 @ B&H)

Mouse: Gigabyte GM-M6800 Wired Optical Mouse ($10.83 @ NCIX US)

Total: $982.87

Yes it should run it fine

Hi zombiewrath,

We haven’t heard back from you in a few days so we are marking this answer as correct for tracking purpose. If you have any further questions please feel free to post them here or on our forums.

Also, please take a look at our recommended system specs.

https://docs.unrealengine.com/latest/INT/GettingStarted/RecommendedSpecifications/index.html

Thanks, TJ