Auditions have been scheduled for the following productions:

- MURDER ON THE NILE, City Rep, 148 S. Main; Tuesday & Wednesday, April 23-24, 6-9 p.m.; Stuart N. Mitchell, directing.

All roles open. Performers capable of doing French, German, Belgian and English accents are needed. Prepare a one-minute contemporary monologue, preferably from an Agatha Christie play. No one under the age of 16.

Playdates: 11 evening and two matinee performances between June 8 and July 22. For further information, call 532-6000.

- BAREFOOT IN THE PARK, Hale Center Theater, 2801 S. Main; Saturday, April 27, 9 a.m. to noon; John and Tamara Adams, directing.

Roles: a slightly off-the-wall woman in her 20s; handsome, straightlaced man, 20s-30s; conservative, humorous mother-in-law in her 50s; a bizarre gentleman, 50-70, and two men, anywhere from 20 to 70.

Auditions: One-minute prepared monologues and cold readings. Playdates: June 13-Aug. 5. Further information: 484-9257.

- PARK CITY SHAKESPEARE FESTIVAL apprentice program interviews, Saturday, April 27, 10 a.m., at the Winner School, 6120 S. 2075 East. Prospective apprentices, 17-20 years of age, will be asked to read from the plays ("Romeo and Juliet," "Two Gentlemen of Verona," "Hamlet" and "Not About Heroes"). Bring a resume and photograph.

Apprentices will work in small roles, be understudies and help with stage management. Rehearsals start June 3. The festival runs from July 6 through Sept. 8. An assistant technical director and costume coordinator are also needed. Call Ron Burnett at 485-7249.