Q1) (30 points) Amazon plans to build a new distribution center in the UAE. The primary objective of the distribution center is to provide same day and next day delivery services for Amazon prime customers within the Emirates and to reduce their transportation costs. The Amazon management believes that the center-of-gravity method is appropriate for this objective. While there are 100.000 amazon prime members in the UAE, they are tightly clustered around five regions. a) Populate the relevant data using the last digit of your student number, e.g., if your student number is BBAW19010003, the last digit is 3 and the number of amazon prime customers in Dubai is 3000+100*3-3300. (5 points) b) Using the data below, use the center-of-gravity method to calculate the coordinates of the best location for this mill. All mileage references use Abu Dhabi as (0,0). (15 points) c) Amazon managers are also considering to use factor-rating method to choose from a number of alternative locations. Briefly, discuss the advantages and disadvantages of factor- rating method to the center-of-gravity method. (10 points) Miles East of Abu Dhabi Miles North of Abi Dhabi Village (x) (Y) Dubai 10 120 Abu Dhabi 0 0 Sharjah 20 190 Al Ain 120 80 Ras Al Khaimah 40 270 Number of amazon prime customers 3000+100 last digit of your student number 2500+100 last digit of your student number 1000+100 last digit of your student number 1500+100 last digit of your student number 500+100 last digit of your student number tute Tem rc