On Sunday morning, a printing press printed its newspapers at a constant rate from 1:00 AM to 4:00 AM. How many newspapers did the printing press print on Sunday morning?

(1) The printing rate on Saturday morning was twice that of Sunday morning.

(2) On Saturday morning, the printing press ran at a constant rate from 1:00 AM to 3:00 AM, stopped for a half hour, and then ran at the same constant rate from 3:30 AM to 5:30 AM, printing a total of 4,000 newspapers.

A:Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B:Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C:Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient.

D:EACH statement ALONE is sufficient.

E:Statements (1) and (2) TOGETHER are NOT sufficient.