2) (40 points) During lecture, we discussed the three main operations research (OR) techniques: math programming/optimization (IND ENG 455: OR I), applied probability (IND ENG 465: OR II), and discrete event simulation (IND ENG 475). For each of the problems below, which OR technique(s) in your opinion is/are best suited for addressing the problem at hand? Why? For each item, back up your answer with one or two complete sentences explaining your choice(s). a. Walmart needs to decide where to construct a new distribution center in Wisconsin b. Mangers of St. Mary's hospital are scheduling nurses for the month of February. c. Transit system engineers are creating the Milw. county bus routes and timetables d. Harley Davidson wants to evaluate the performance of a new material handling system for its powertrain manufacturing plant in Wauwatosa. e. The Wisconsin DOT is evaluating the effect on traffic congestion of adding an extra lane to Interstate 94 between Milwaukee and Chicago f. An industrial engineer is designing an appointment system and patient handling procedures for a new dental clinic on the east side. 8. Assigning gates to arriving airplanes at Chicago's O'hare Airport h. Determining long-term gate assignments for various airlines at Chicago's O'hare Airport i Employees with various skill sets need to be assigned to committees at a large company j. The Wisconsin DOT is evaluating the effect on traffic flow of competing designs for the proposed new Marquette interchange in downtown Milwaukee