http://www.bartleby.com/68/47/4047.html: Neither is paired with nor as either is with or, and in those uses as conjunctions they pose usage problems of agreement. Usually they will take a singular verb if both parts of the structure are singular, as in Neither he nor his friend is ready, and if the first element is plural but the second element remains singular, the structure may still take a singular verb, as in Neither my friends nor my father is ready, although a plural is also possible. But if the second element is plural, the verb will almost always be plural: Neither my father nor his friends are ready. Agreement between neither/nor and the verb is frequently a matter of notional agreement: hence Standard English in all but its most Formal and Oratorical situations will usually accept either number of the verb.
So "mqnager" come second, it's closer to the verb, and therefore the verb is singular -- "although a plural is also possible" says barlteby.