Question

Each hour from 10 am to 7 pm, a National Federal Bank receives checks and must process them. Its goal is to process all the checks the same day that 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. The bank hires both full-time and part-time workers. Full-time workers work 10 am - 6 pm, 11 am - 7 pm, or 12 pm - 8 pm and are paid $160 per day. Part-time workers work either 2 pm - 7 pm or 3 pm - 8 pm and are paid $75 per day. The number of checks received each hour is given in the Table below. The bank also believes it must employ at least 3 full time workers and that there should always be at least 1 full-time worker present. Develop a cost minimizing work schedule that processes all checks by 8 pm. Hint: Consider how many checks enter each time period, how many checks are processed, and how many checks exit during each time period.

1. Objective Function

2. Constraints

3. Correct Optimal Solution (Solver)

Answer 1