problem #2 only please!!!

thfull-time pertime moleso very day from PROBLEMS Group A 4-hour daily Gro the post office example, suppose that each time quirement of 17 workers may be viewed as a requirement of $17) - 136 hours. The post office may meet its daily labor requirements by using both full-time and part-time employees. During each week, a full-time employee works 8 hours a day for five consecutive days, and a part time employee works 4 hours a day for five consecutive days. A full-time employee costs the post office $15 per hour. whereas a part-time employee (with reduced fringe benefits) costs the post office only $10 per hour. Union requirements limit part-time labor to 25% of weekly labor requirements. Formulate an LP to minimize the post office's weekly labor WOT om 2 During cach 4-hour period, the Smalltown police force requires the following number of on-duty police officers: 12 midnight to 4A.M.-8; 4 to 8 A.M.--7;8AM to 12 noon - 6; 12 noon to 4 AM-6; 4 to 8 RM.-5:8 RM to 12 midnight 4. Each police officer works two consecutive of the workday (10 RM.). The major input to the model was checks arriving at the bank each hour. This forecast was pro- Sion (see Stochastic Models in Operations Research: Apple major output of the LP was a work schedule. For example, full-time employees work daily from 11 AM to 8 MM, 33 cry day from 6 RM to 10 RM, and 27 part-time employees Monday, Tuesday, and Friday 4-hour shifts. Formulate an LP that can be used to minimize the number of police officers needed to meet Smalltown's daily requirements. Group B 3 Suppose that the post office can force employees to work one day of overtime each week. For example, an employee whose regular shift is Monday to Friday can also be required to work on Saturday. Each employee is paid $50 a day for each of the first five days worked during a week and $62 for the overtime day (if any). Formulate an LP whose solution will enable the post office to minimize the cost of meeting its weekly work requirements. 4 Suppose the post office had 25 full-time employees and was not allowed to hire or fire any employees. Formulate an LP that could be used to schedule the employees in order to maximize the number of weekend days off received by the