Chase Manhatten Bank Case Study

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Linear programming may be helpful in creating the most efficient employee schedule for organizations. The goal or objective for the organization may be to minimize the costs associated with employees overtime hours. Another objective may be to maximize employee productivity while meeting service demands. For instance, a bank may use linear programming to meet high volume demands utilizing a flexible employee schedule which consist of full time and part time employees. (Render, Stair, and Hanna, 2009, pp. 321-323). Chase Manhattan Bank has determined their personnel requirements for each hour of the business day based on service demands as follows: Time Period Personnel Required 9:00-10:00 14 10:00-11:00 25 11:00-12:00 26 12:00-1:00 38 1:00-2:00 55 2:00-3:00 60 3:00-4:00 51 4:00-5:00 29 5:00-6:00 14 6:00-7:00 9 The bank’s corporate policy does not allow the total part time employee hours to be more than 40% of the total hours required to operate the shift efficiently and meet the demands. Part time employees must work at least four hours per day, but less than eight hours per day and they do not receive a lunch break. The full time employees take one hour for lunch and half of these full timers go to lunch at 11:00 and the other half at noon. A full time employee can work no more than five hours of overtime per week. They are paid straight time for the overtime hours worked. Full time employees cost the bank on average $10.11 per hour, including benefits and $8.08 per hour in overtime pay. The part time employee has an average cost of $7.82 per hour. Chase Manhattan Bank must determine the minimum personnel costs while meeting hourly service demands and complying with the constraints established by the corporate office. (Render, et al, 2009, pp. 348-349). The minimum-cost schedule for Chase Manhattan Bank can be developed using an excel

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