During each 4-hour period, the Smalltown police force requires the following number of on-duty police officers: 12 midnight to 4 A.M. 8;4 to 8 A.M.-7; 8 A.M. to 12 noon-6; 12 noon to 4 P.M. 6;4 to 8 P.M. 5;8 P.M. to 12 midnight 4. Each police officer works two consecutive4-hour shifts. Formulate an LP that can be used to minimize the number of police officers needed to meet Smalltown's daily requirements. [page 75] 5. Each hour from 10 A.M. to 7 P.M., Bank One receives checks and must process them. Its goal is to process all the checks the same day they are received. The bank has 13 check-processing machines, each of which can process up to 500 checks per hour. It takes one worker to operate each machine. Bank One hires both full-time and parttime workers. Full-time workers work 10 A.M.-6 P.M., 11 A.M.-7 P.M., or Noon-8 P.M. and are paid $160 per day. Part-time workers work either 2 P.M. - P.M. or 3 P.M. 8 P.M. and are paid $75 per day. The number of checks received each hour is given in Table 6. In the interest of maintaining continuity, Bank One believes it must have at least three full-time workers under contract. Develop a cost-minimizing work + schedule that processes all checks by 8 P.M. [page 76]