When Mrs. Jacoby visits the home of Mr. Asano, the servant who answers the door and assists later is George Takei, "Mr. Sulu" of Star Trek (1966).
When Eddie is repairing Mrs. Jacoby's TV, rather than actually shooting the scene with material already selected and pre-recorded to be seen on the TV's screen, the filmmakers used another, less expensive trick; since TV scan rates are not the same as film, whenever a TV is seen (and it's showing something being broadcast), the dark scan lines are visible (and sometimes the TV's picture will "roll"). As this was still early in the TV-era, showing TVs broadcasting was something of a novelty, but it came with the aforementioned problems. To combat this, a "TV" was built (or, more accurately, something which looked like a TV). What's being shown on the "screen"' is actually film, which is being projected from behind the scene, and with the aid of a mirror, and a semi-translucent material to give the illusion of a screen, the result is that a high-quality image is seen, and there's no problem synching camera with TV.
The play "A Majority of One" by Leonard Spigelgass opened at the Shubert Theater in New York City on February 16, 1959, and ran for five hundred fifty-six performances. Tsuruko Kobayashi and Mae Questel recreated their stage roles in this filmed production. Leonard Spigelgass wrote the play and adapted his work for the screenplay.