Here's why:
* Subject: Shelly
* Verb: served
* Modifier: "dinner after spending hours preparing the meal"
Let's break down the modifier:
* Direct Object: dinner
* Prepositional Phrase: after spending hours preparing the meal (modifies "served")
* Participle Phrase: spending hours preparing the meal (modifies "Shelly")
Explanation of why the other options are incorrect:
* B. the meal dinner: This is not a sentence and doesn't have a subject or verb.
* C. Afte?: This is a fragment of a sentence and lacks a complete thought.