XYZ Designs operates a high$-$speed printer for their brochure printing service. The printer can produce a page in $8$ seconds. However, to prevent overheating, after printing $600$ pages, the printer must undergo a $20-$minute cooling period. During this time, it cannot print any pages. XYZ Designs has a consistent demand rate of $4$ pages per minute. Based on this information, what is the utilization rate of the printer?

A$.40\mathrm{.}6\%$

B$.66\mathrm{.}6\%$

C$.100\%$

D$.1\mathrm{.}5\%$