Again, FT’s are not scheduled to work more than 1 hour of overtime per day, in order to avoid exceeding the 5-hour overtime limit per FT per week.The average cost per PT is $7.82. Therefore, PT’s that work 4-hour days receive a total of $31.28 per day. PT’s that work 5-hour shifts receive $39.10 per day. PT’s that 5
CASE STUDY: CHASE MANHATTAN BANKwork 6-hour shifts receive $46.92 per day, and finally, PT’s that work 7-hour shifts receive $54.75 hours per day.The objective function then is to minimize the total daily personnel costs = 80.88(F1+F2+F3) + 88.96(F4+F5) + 31.28(P1+P5+P9+P13+P17+P20+P22) + 39.10(P2+P6+P10+P14+P18+P21) + 46.92(P3+P7+P11+P15+P19) + 54.75(P4+P8+P12+P16).To account for the PT 40% of required hours limit, add up all the required hours 14+25+26+38+55+60+51+29+14+9 = 321 and multiply that by .4 to get 128.4. To compare to a different percentage limit, multiply 321 by .5 to get 160.5. For each, enter the equation 4PT1 + 5PT2 + 6PT3 + 7PT4 + 4PT5 + 5PT6 + 6PT7 + 7PT8 + 4PT9 + 5PT10 + 6PT11 + 7PT12 + 4PT13 + 5PT14 + 6PT15 + 7PT16 + 4PT17 + 5PT18 + 6PT19 + 4PT20 + 5PT21 + 4PT22 <= 128.4 and 4PT1 + 5PT2 + 6PT3 + 7PT4 + 4PT5 + 5PT6 + 6PT7 + 7PT8 + 4PT9 + 5PT10 + 6PT11 + 7PT12 + 4PT13 + 5PT14+ 6PT15 + 7PT16 + 4PT17 + 5PT18 + 6PT19 + 4PT20 + 5PT21 + 4PT22 <= 160.5 respectively.The Minimum-Cost Schedule at Chase Manhattan BankWhen part time employees are subject to the 40% of the daily requirement limit, the minimum cost for the Chase Manhattan Bank Case Study (Render et al., 2012, p. 339). is $3,359.27. The following table illustrates the start times and shift hours for each full time and part time employees. 6
CASE STUDY: CHASE MANHATTAN BANKFor the minimum-cost schedule, 20 FTs will start at 9AM and work 8-hour shifts, 5 FTs will start at 10AM and work 9-hour shifts, 4 FTs will start at 11AM and work 8-hour shifts. As for the part time employees, 3 will start at 11AM and work 5-hour shifts, 12 will start at Noon and work 4-hour shifts, 3 will start at 1PM and work 4-hour shifts, and 5 will start at 2PM and work 4-hour shifts.The Limitations of the Model UsedPart timer employees must be less than 40% of the total workforce.
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