Concept:IUPAC naming of substituted cyclohexanes follows the lowest locant rule and alphabetical order of substituents.
Explanation:The parent ring is
cyclohexane.
The substituents are one methoxy group
(−OCH3​) and two ethyl groups
(−CH2​CH3​).
Number the ring from the carbon bearing the two ethyl groups: locants are
1,1,4.
Number the ring from the carbon bearing the methoxy group: locants are
1,4,4.
Compare
1,1,4 and
1,4,4: at the first point of difference,
1<4, so
1,1,4 is the lower set.
Thus, the carbon with two ethyl groups is
C1, and the methoxy group is at
C4.
Write substituents alphabetically: ethyl before methoxy, and the prefix "di" is not considered for alphabetization.
Answer:1,1-diethyl-
4-methoxycyclohexane
Option A.