A model of a contracting spherical protostar treats it as an ideal blackbody radiator. The table below shows the radius R and peak emission wavelength \(\lambda_{\text{max}}\) of the protostar at three different evolutionary states.

State	Radius	Peak Emission Wavelength
1	\(R_0\)	\(\lambda_0\)
2	\(\dfrac{1}{2}R_0\)	\(\dfrac{1}{2}\lambda_0\)
3	\(\dfrac{1}{4}R_0\)	\(\dfrac{1}{2}\lambda_0\)

Which of the following gives the correct proportional dependence of the total radiated power P on radius R and peak wavelength \(\lambda_{\text{max}}\), and correctly ranks the total radiated powers \(P_1\), \(P_2\), and \(P_3\) for the three states?