Problem: During each four-hour period, the Smalltown police force requires the following number of on-duty police officers: eight from midnight to 4am; seven from 4am to 8am; six from 8am to noon; six from noon to 4pm; five from 4pm to 8pm; and four from 8pm to midnight. Each police officer works two consecutive four hour shifts.
a. Determine how to minimize the number of police officers needed to meet Smalltown's daily requirements.
b. Use SolverTable to see how the number of police officers needed from midnight to 4am changes.