For this question you only need to formulate a linear program. Do not solve it b) Due to Covid-19, booking of computer labs for practical IT sessions at the NWU are subject to availability of support staff. Labs are available only from 8:00 to 16:00 in the day. Staff are not allowed to do duty for more than four hours in a day, may not work in two consecutive sessions, and must complete their sessions as soon as possiblefone works during the first session, he can only work again in the third session). However, staff prefer to work as much as possible. The number of staff members needed for different group sizes vary throughout the day. Morning sessions are two hours long and afternoon sessions only one. The minimum number of staff members required for each session between 8:00-16:00) is shown in this table: Minimum staff Time period members needed 8:00-10:00 3 10:00-12:00 6 12:00-14:00 2 14:00-15:00 6 15:00-16:00 4 Thelab supervisor wants to determine the minimum number of staff members that meets these requirements. Formulate an LP model for this problem (do not solve) (10) b) The two most famous cheese burger brands in SA are found at McDonald's (MCD) and Burger King (BK). Cafeteria management on campus wants to add these items to their menu and have acquired the patty recipes. % Soy % beef % secret ingredient Selling price (R) MKD 65 23 12 40 BK 40 20 40 40 Maximum number of burgers that can be made daily: 300 The cafeteria has 5kg of each of the three ingredients available each day and each kilogram is enough to make 25 burgers. Formulate this problem as a linear program (do not solve)