Universal Studios is deciding to add some possible new roller coaster rides to its Islands of Adventure theme park. They want to name the new rides after superheroes: 1) Superman, 2) Ironman, 3) Batman, and 4) Robin. Each roller coaster they decide to build will operate for 10 years. The production costs, operating costs per million customers, and life-long capacities in millions of customers are given in the table below. Universal aims to serve 30 million additional customers using these roller coasters. Universal formulates this problem as a mixed integer program in order to minimize the total cost. Assume that the continuous decision variable x; is the total number of customers (in millions) that will ride roller coaster i in 10 years and y, is the binary variable that determines whether roller coaster i is built or not. Production Cost Operating Cost per million Life-long Capacity Roller Coaster (in millions of dollars) customers (in millions of dollars) (in millions of customers) 1) Superman 20 3 3 10 2) Ironman 22 4 8 3) Batman 18 N 12 4) Robin 00 8 1 5 Which of the following is the correct contribution of the production cost for Superman roller coaster in the model? 20 y1 O 3x1 O 3y1 O 20 x1 O x1 O y1 Which of the following correctly represents the capacity constraint for Ironman roller coaster in the model? O Y2s 8x2 O X2 2 8 y2 O X2-8y2 O X2's 8y2 O X2y2 3 8 O x2