Each hour from 10am to 7pm, Zeith Bank receives checks and must process them. Its goal is to process all the checks the same day they are received. The bank has 16 check-processing machines, each of which can process up to 400 checks per hour. Its takes one worker to operate each machine. Zeith Bank hires both full-time and part-time workers. Full time workers work 10am-6pm,11am-7pm, or noo-8pm and are paid $190 per day. Part-time workers work either 1-pm-6pm or 3pm -8pm and are paid $85 per day. The number of checks received each hour is given in the table below. In the interest of maintaining continuity, Zeith Bank belives that it must have at least four full-time workers under contract. Time Checks Received10am 4,00011am 3,000noon 4,0001pm 2,7002pm 3,0003pm 3,0004pm 4,3005pm 3,5006pm 3,2507pm 2,500a. Clearly define decision variables required to solve the problem of developing a cost-minizing work scheduled that process all checks by 8pm. b. Formulate a linear program (LP) to solve this problem.