For a system using two AMD Reference Design Radeon R9 270X graphics cards in 2-way CrossFire mode AMD specifies a minimum of an 750 Watt or greater system power supply. The power supply should also have a maximum combined +12 Volt continuous current rating of 43 Amps or greater and have at least four 6-pin PCI Express supplementary power connectors.
Total Power Supply Wattage is NOT the crucial factor in power supply selection!!! Sufficient Total Combined Continuous Power/Current Available on the +12V Rail(s) rated at 45°C - 50°C ambient temperature, is the most critical factor.
The Alpine 850W power supply unit, with its maximum combined +12 Volt continuous current rating of 42 Amps and with two 6-pin PCI Express supplementary power connectors, is insufficient to power your system configuration with two Radeon R9 270X graphics cards in 2-way CrossFireX mode. This is assuming that the Alpine 850W PSU is able to deliver what is specified on its label.
What you should be asking yourself is why does a reputable name brand 850W PSU, like a Seasonic 850W, have a +12 Volt continuous current rating of 70 Amps and comes with at least four 150W (6+2)-pin PCI Express supplementary power connectors when the Alpine 850W has only 60% of the Seasonic's +12V capacity and comes with only two 75W 6-pin PCI-E power connectors?
Clear and simple, you get what you pay for.