Final answer:
Luke's team working on a science fiction movie for a Hollywood studio would need to consider the budget most carefully due to high production costs in the film industry.
Step-by-step explanation:
The writer who would most need to consider the budget when writing a script is Luke's team working on a science fiction movie for a top Hollywood studio. This genre often involves substantial funding for special effects, sets, and technology. In comparison to school plays, cookery shows, or theatrical productions, a Hollywood sci-fi movie typically requires a larger budget. A successful playwright like Aaron Sorkin, who has written both plays and screenplays, has experienced the differences in budget considerations between theatre and film. In the film, budget constraints can significantly influence the scriptwriting process, as productions must stay within their financial limits.
While Broadway productions also require careful financial planning, it is the combination of the producer, director, and sometimes the writer who will contribute to budget discussions. Alaine Alldaffer mentioned that on Broadway, the focus is a collaborative approach regarding budget. However, the immediate financial stakes and production costs are often higher in the film industry, thus putting more pressure on the screenwriter to tailor the script to budget constraints.