The (blank) is responsible for scheduling work throughout the factory.
factory manager
production planner
first-line supervisor
industrial engineer

Factory manager. Manages the workers on the factory floor in a general manner...
Schedules, people calling out sick, vacation schedules, HR, help with hiring people, and a lot more.

Production planner’s job is to plan production specifically, not deal with a people’s work schedule.

First-line supervisor is on the floor, “front line”, dealing with daily issues involving the work itself (done by the workers... supervisor supervises).

The industrial engineer is the person who designs the project that the factory is working on (nothing to do with scheduling).