Three existing facilities are located at the points Pl=(0,0), P2=20,15), and P3=(40,15). Each new facility costs $1200 per month. The cost item movement is $5 per unit of distance. The number of trips per month between some new facility and existing facility equals 10. Formulate the problem and determine the optimum number, location, and allocation of new facilities, assuming at least one new facility is required and item movement occurs between an existing facility and only one new facility. Base your calculations on a. Rectilinear distance. b. Euclidean distance