Please answer all parts with work shown to better help me understand. Thank you!

1. A service facility requires different number of full-time employees on different days of the week. The number of full-time employees required on each day is given shown next: Mon.- 17; Tues. -13; Wed.-15; Thurs.-19; Fri.-14; Sat.- 16; Sun.- 11. Union rules state that each full-time employee must work five consecutive days and then receive two days off. For example, an employee who works Monday to Friday must be off on Saturday and Sunday. The service facility wants to meet the daily requirements using the full- time employees only. (i) Formulate the LP model that can be used to minimize the number of full-time employees that must be hired. (ii) Define the decision variables and indicate the nature of the decision variables that must be input in the model. (iii) Rewrite the objective function if you want to minimize excess resources used during the week. (iv) Do not solve the model in Lingo. Identify and report a feasible solution by inspection only