Final answer:
Pitocin is administered to Janine to restart and maintain labor.
Step-by-step explanation:
The purpose of administering an IV infusion of pitocin to Janine, who is 41 weeks pregnant and experiencing difficulty progressing in labor, is to restart and maintain labor. Pitocin is a synthetic form of oxytocin, a hormone that stimulates contractions of the uterus. By administering pitocin, the healthcare providers hope to increase the frequency and intensity of Janine's contractions and help her progress further in labor.