$1\mathrm{.}3$ A $27-$inch monitor contains $1920$ x $1080$ picture elements, or pixels. Each pixel is represented in $24$ bits of memory. A byte of memory is $8$ bits.

a$.$ How many megabytes $($MB$)$ of memory are required to store the information displayed on the monitor?

b$.$ Suppose it takes $10ms$ to refresh the monitor. How fast must the image data be moved from memory to the monitor? Express your answer in gigabits per second $($Gbps$).$

c$.$ A $27-$inch monitor is $24$ inches wide and $14$ inches high. What is the size of an individual pixel in square millimeters $?$