We must first address the difference between “its” and “it’s.”
“It’s” is a contraction of “it is” or “it has,” while “its” is the possessive form, indicating ownership.
Since the sentence talks about the Board of Directors holding “its next meeting,” possession is being shown, so “its” is correct.
This eliminates options (B) and (D) immediately because they incorrectly use “it’s.”
Next, between “will hold” and “shall hold,” modern English typically uses “will” in most contexts, especially for stating future plans without legal formality.
“Shall” is generally more formal and less common in everyday corporate announcements, though not technically wrong. However, “will” is more natural here.
Therefore, (A) is correct because it uses the correct possessive form “its” and the natural future tense “will hold.”