A recording company obtains blank CDs employed to produce its labels from three compact disk manufacturers: I, II, and III. The quality control department of company has estimated that 3% of the compact disks produced through manufacturer I are defective, 2% of those produced by manufacturer II are defective, and 2% of those produced through manufacturer III are defective. Manufacturers I, II, and III supply 24%, 18%, and 58%, respectively, of compact disks employed by the company. Determine the probability that randomly chosen label produced by the company will have a defective compact disk?
a) 0.0036
b) 0.0116
c) 0.0072
d) 0.0224
e) 0.0700