MOP and MAOP in ASME B31.8 for Hydrotest

I want to ask regarding MOP and MAOP in ASME B31.8 for Hydrotest

my question actually for pig trap (launcher/receiver) designed by ASME B31.8

in table 841.3.2-1, for onshore describe that the test pressure is 1.25 x MOP

what is MOP actually? is it only an actual operating pressure describe in design (which always less than DP)?

but in the note, it says that "If an operating company decides that the maximum operating pressure will be less than the design pressure". so MOP could be greater than DP? is MOP like MAP in ASME VIII (allowable pressure for new condition)?

it table also state that MAOP is lesser of TP/1.25 or DP (for some class)

how actually to determine this? both MAOP and test pressure is the wanted value

is MAOP the same as MOP then?

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for offshore condition, the hydrotest used is 1.4 x MAOP

if refer to 845.2.2, I don't quite understand it

I think the safest value is MAOP=DP, as per that para. point (a), not less than that

could please someone enlighten me?