A law firm is going to designate associates and partners to a big new case. The daily rate charged to a client for each associate is $500, and the daily rate for each partner is $1400. The law firm designates three times as many associates as partners to the case and was able to charge the client $5800 per day for these lawyer services. Determine the number of associates assigned to the case and the number of partners assigned to the case.
a) Associates: 3, Partners: 1
b) Associates: 9, Partners: 3
c) Associates: 6, Partners: 2
d) Associates: 4, Partners: 2