Problem 2. Eagle Manufacturing and Logistics (EM&L) is considering where to locate a regional distribution center to support ten distributors located across the Midwestern US (see map below). The projected transportation rates and volumes are shown in the following table. Determine the location for the distribution center and total cost using the center of gravity approach. Note: you must solve this problem manually to receive full credit. You must show all work to receive credit. You will need to scan your handwritten work for this problem. 147 110 20 Customer Fargo, ND Rapid City, SD Wichita, KS St Louis, MO Louisville, KY Cleveland, OH Grand Rapids, MI Bloomington, MN Gary, IN Ames, IA X 77 13 71 148 198 234 191 119 175 110 34 33 85 99 113 78 80 R 35,000 $ 2.25 20,000 $ 2.35 40,000 $ 2.30 55,000 $ 1.90 75,000 $ 1.80 68,000 $ 1.70 32,000 $ 2.00 57,000 $1.95 80,000 $ 1.85 39,000 $ 2.10