Question 3 (20pts): Consider a distributor location problem involving 5 customers. The locations (XY-coordinate) of customers are given in following table: Customer X Y 1 35 250 2 40 25 45 3 65 85 300 400 201 300 4 60 40 80 90 5 The numbers of trips per month between a new distributor and each customer are estimated as 250, 350, 400, 200, and 300, respectively. The rectilinear distance assumption is applied. a. Write the objective formula to minimize the total weighted distance traveled per month. b. Determine the optimal location of the distributor by using single-facility location model. c. Calculate the total traveled distance. d. Determine the optimal location of the distributor when the Euclidian distance is applied