Each full-time employee starts on the hour and works a 4-hour shift followed by 1 hour for lunch and then a 3-hour shift. Part-time employees work one 4-hour shift beginning on the hour. Considering salary and fringe benefits full-time employees cost the bank $15 per hour ($105 a day) and part-time employees cost the bank $8 per hour ($32 per day).a. Formulate an integer programming model that can be used to develop a schedule that will satisfy customer service needs at a minimum employee cost. b. Solve the LP Relaxation of your model in part (a).c. Solve for the optimal schedule of tellers. Comment on the solution.d. After reviewing the solution to part (c) the bank manager realized that some additional requirements must be specified. Specifically she wants to ensure that one full-time employee is on duty at all times and that there is a staff of at least five full-time employees. Revise your model to incorporate these additional requirements and solve for the optimalsolution.