Step 1: Recall the Drag Divergence Mach Number.
The Drag Divergence Mach Number (\(M_{DD}\)) is the free-stream Mach number at which the drag coefficient begins to increase rapidly due to compressibility effects.
Step 2: Determine the effect of increasing speed beyond \(M_{DD}\).
When the aircraft speed increases beyond the drag divergence Mach number,
• shock waves begin to form,
• wave drag increases rapidly,
• flow separation may occur,
• engine thrust requirement increases.
Consequently, fuel consumption rises sharply.
Therefore,
\[
\boxed{\text{It increases sharply due to the rapid onset of wave drag and flow separation}.}
\]
Thus,
\[
\boxed{(C)}
\]
is the correct answer.