Which equation can be used for developing mathematical model.Each hour from 10 A.M. to 6 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 part-time workers. Full-time workers work 10 A.M.5 P.M., 11 A.M. 6 P.M., or Noon7 P.M. and are paid $16 per hour. Part-time workers work either 2 P.M.6 P.M. or 3 P.M.7 P.M. and are paid $15 per hour. The number of checks received each hour is given in Table 6. In the interest of maintaining continuity, Bank One believes it must have no more than ten part-time workers under contract. Develop a cost-minimizing work schedule that processes all checks by 7 P.M. At least 40 percent of the total number of employees must be full-time employees.Time Checks Received10 A.M. 5,00011 A.M. 4,000Noon 3,0001 P.M. 4,0002 P.M. 2,5003 P.M. 3,0004 P.M. 4,0005 P.M. 4,5006 P.M. 3,500X1: the number of full-time employees working between 10AM-5PMX2: the number of full-time employees working between 11AM-6PMX3: the number of full-time employees working between Noon-7PMX4: the number of part-time employees working between 2AM-6PMX5: the number of part-time employees working between 3AM-7PM Eq. 5: X1+X2+X3+X4+X5 => 33500Eq. 6: X1+X2+X3+X4+X5 => 36500Eq. 7: 4000X1+4000X2+4000X3+2500X4+2500X5 => 36500Eq. 8: 3500X1+3500X2+3500X3+2000X4+2000X5 => 33500