Design Problem: $($Part $1.)$ You are an engineer at a company planning the design and manufacture of a digital answering machine. Given a sampling rate of $12KHz$ and a quantization of $8$ bits, how much memory $($MBytes$)$ is required to store $20$ minutes of conversation? What size memory chip $($in MBytes$)$ is appropriate? $($Recall that memory chip sizes are available in powers of $2.$ For example, $2KB,4KB,8KB,$dots$\mathrm{.}2MB,4MB,8MB,16MB,32MB,$dots$2GB,4GB,8GB,16GB,$ etc.$)$ Must show all steps of the calculation.

$($Part $2)$ If your manager says the overall total cost for the memory chips is too high, what would you recommend to reduce costs $($or needed capacity$)$ of memory chips? What questions would you ask? $($Include $3$ suggestions$)$