Step 1: Understand the meaning of the underlined word.
The word facilitate means to make an activity or process easier, smoother, or more convenient.
Step 2: Interpret the sentence.
The sentence states that the new office layout was designed to facilitate smooth communication. This means the layout helps employees communicate more easily and efficiently.
Step 3: Analyse the options.
• (A) encourage -- Incorrect. It means to motivate or promote, which is similar in meaning.
• (B) support -- Incorrect. Supporting also helps or assists something.
• (C) hinder -- Correct. It means to obstruct, delay, or make something difficult, which is the opposite of facilitate.
• (D) organize -- Incorrect. Organizing may help a process rather than oppose it.
Step 4: Final conclusion.
\[
\boxed{\text{Facilitate} \longleftrightarrow \text{Hinder}}
\]
Hence, the correct option is \(\boxed{(C)}\).