pls show work, ty!

MGMT 362 Fall 2021 Service Management Assignment Problems 1 Note: Do not include the questions in your submission. Please include only your answers. 1. Revisit the copying service in the class example (all the details are given below, you don't have to search the slides. If you are curious, this example was part of Chapter 8 part 1). The locations 1 of the four customers were respectively. (1,2), (2,3), (3,5), (4.1). Assume that over the years, the monthly demand from the four customers has increased to the following weights: wi=7,w2 = 9, W3 = 5, wa = 7. If we previously located the copying service at point (2.2), should we now consider relocation? 2. A temporary-help agency wants to open an office in a suburban section of a large city. It has identified five large corporate offices as potential customers. The locations of these offices in miles on an x-y coordinate grid for the area are ci =(4, 45, c2 = {4, 11), (3=17, 2), C4 = (11, 11), and c5 = (14,7). The expected demand for temporary help from these customers is weighted as wl - 3, w2 = 2, W3 = 2, w4 = 4, and w5 = 1. The agency reimburses employees for travel expenses incurred by their assignments; therefore, recommend a location (ie, xy coordinates) for the agency that will minimize the total weighted metropolitan distance for job-related travel. 3. Revisit the copying service example (details are given next). Four customers were respectively located at (1,2), (2,3), (3,5), (4,1). Use the Huff model to recalculate the monthly customer i expenditures and the market share for the proposed copying center at locations (3.2) if the new store will be three times the capacity of the existing store at location (2.2) and the new demand weights from problem 1 above are used. Assume the weights are in hundreds and the average monthly expenditure per customer is $20. 4. A community is currently being served by a single self-serve gas station with six pumps. A competitor is opening a new facility with 12 pumps across town. The table below shows the travel times in minutes from the four different areas in the community to the sites and the number of customers in each area. a. Using the Huff retail location model and assuming that 2-2, calculate the probability of a customer traveling from each area to each site. b. Estimate the proportion of the existing market lost to the new competitor. You may assume customers spend on an average $20 at the pumping stations Area 1 2 10 9 15 Old station New competitor Number of customers na 20 & 12 6 100 150 80 50