The $IUPAC$ name of $CH_2=C(OCH_3)-COOC_2H_5$ is

In the $IUPAC$ nomenclature system,what is the correct decreasing order of priority for the following functional groups?

The $IUPAC$ name of the compound $CH_3-CH_2-CH_2-CH_2-CH_2-CH(CH_3)-C(CH_3)(CH_2-CH_2-CH_3)-CH_2-CH_3$ is:

The structural formula of $2$-methyl-$2$-butene is

Given below are two statements:
Statement $I$: $IUPAC$ name of $HO-CH_2-(CH_2)_3-CH_2-COCH_3$ is $7-$hydroxyheptan$-2-$one.
Statement $II$: $2-$oxoheptan$-7-$ol is the correct $IUPAC$ name for above compound.
In the light of the above statements,choose the most appropriate answer from the options given below:

The correct $IUPAC$ name for the compound shown below is: