In Illinois, every year an average of 12,000 drug-use offenders are sentenced and incarcerated. The average length of prison stay for this type of crime is 14 months. Upon release from prison, these offenders are periodically tested for drug substances. First-time repeat offenders are ordered to wear a bracelet with an electronic monitoring device for 6 months. At any given time there is an average of 2,640 bracelets being used by this type of offender. (a) What is the average number of drug-use offenders in Illinois prisons at any given time?

(b) What percentage of released prisoners are ordered to wear monitoring bracelets?

This question is from Operations Management.