An enterprising student has set up an internship clearinghouse for business students. Each student who uses the service fills out a form and lists up to $11$ companies the student would like to have contacted. The clearinghouse has a choice of two methods to use for processing the forms. The traditional method requires about $24$ minutes to review the form and arrange the information in the proper order for processing. Once this setup is done, it takes only five minutes per company requested to complete the processing. The other alternative uses an optical scan or retrieve system, which takes five minutes to prepare but requires nine minutes per company for completing the processing.