Answer:
I thought I already answered this.
Both FPGA and ASIC could be used to design physical-circuit layout, so they are good for speed and power consumption depending on how good your design is.
In the case given, you would use ASIC because the image of the circuit is already given--you only need FPGA when you're trying to design the circuit. Also, you're trying to mass produce the circuit, which FPGA cannot do because FPGA are like the size of an arduino; they're huge. Meanwhile, ASIC are tiny chips and can be created in bulk at a time making it the better choice to use for the given parameters in the question.