Final answer:
The package of RAM with a surface reading of .005 mSv/h and a Transport Index of zero is required to have a Radioactive White I label, indicating low radiation levels on and near the package.
Step-by-step explanation:
The label required on a package of RAM (Radioactive Material) with a surface reading of .005 mSv/h and a Transport Index of zero for non-fissile material is Radioactive White I.
The classifications for RAM packaging labels are determined based on the measured radiation levels at the surface of the package and at a distance of one meter. Since the Transport Index, which measures the radiation level at one meter from the package, is zero, and the surface reading of the package is relatively low, the correct label is the least restrictive, which is Radioactive White I. This label is used for packages where the maximum radiation level at any point on the external surface does not exceed 0.005 mSv/h and there is no significant radiation level at one meter from the package's external surface.