Example 4: Employee Scheduling Applications/Labor Planning Hong Kong Bank of Commerce and Industry is a busy bank that has requirements for betweenc 10 and 18 tellers, depending on the time of day. The lunch time, from noon to 2 P.M., is usually heaviest. The table below indicates the workers needed at various hours that the bank is open. The bank now employs 12 full-time tellers, but many people are on its roster of available parttime employees. A part-time employee must put in exactly four hours per day but can start anytime between 9 A.M. and I P.M. Part-timers are a fairly inexpensive labor pool, since no retirement or lunch benefits are provided for them. Full-timers, on the other hand, work from 9A.M. to 5 P.M. but are allowed 1 hour for lunch. (Half of the full-timers eat at 11A.M., the other half at noon.) Full-timers thus provide 35 hours per week of productive labor time. By corporate policy, the bank limits part-time hours to a maximum of 50% of the day's total requirement. Part-timers earn $8 per hour (or $32 per day) on average, and full-timers earn $100 per day in salary and benefits, on average. The bank would like to set a schedule that would minimize its total personnel costs. It will release one or more of its full-time tellers if it is profitable to do so. Write the problem as a lineer model