With a maximum power supply of 200 W, the graphics card can work, as its power consumption is around 20 W, which is very low compared to the available power. However, the manufacturer recommends a minimum power supply of 300 W to ensure the stability of the entire system, also considering the other components of the computer. So, if the rest of the system consumes little power, 200 W might be sufficient, but it is important to evaluate the total consumption to avoid power problems.