Question
) On daily basis, Bank receives cheques and must process them. Its goal is to process all the cheques the same day they are received.
) On daily basis, Bank receives cheques and must process them. Its goal is to process all the cheques the same day they are received. The bank has 16 cheque-processing machines, each of which can process up to 400 cheques per day. It takes one worker to operate each machine. Bank hires both full-time and part-time workers. Full-time workers can work consecutively for five days and have one day off while part-time worker can work consecutively for two days and can start working, on any day between Monday and Thursday. Full time workers are paid R1000 per day (including the day that full-time workers are off work) while part-time workers are paid R1300 per work day. The number of cheques received per day, which need to be processed, is given in the table below. Day Checks Received Monday 6000 Tuesday 4800 Wednesday 5600 Thursday 3600 Friday 2800 Saturday 2000 In the interest of maintaining continuity, Bank believes it must have at least five full-time workers under contract. 5 Develop a Linear Programming (LP) model that will minimize the cost of scheduling these workers that processes all cheques by the end of each day (i.e. at the end of the week).
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