A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $400 and the daily rate for each
partner is $1000. The law firm assigned a total of 13 lawyers to the case and was able
to charge the client $8800 per day for these lawyers' services. Write a system of
equations that could be used to determine the number of associates assigned to the
case and the number of partners assigned to the case. Define the variables that you
use to write the system.