TASK \# 2 (UNSOLVED) The JB Corp. is a Michigan-based R\&D company that recently developed a new type of fiber substrate that is waterproof and resists dirt. Several carpet manufacturers in the region want to use JB Corp. as their role supplier for this new fiber. The locations of the carpet manufacturers are summarized as below: JB Corp. expects to make 130,75,90 and 80 deliveries to the carpet producers in Lansing. Kalamazoo, Flint, and Detroit, respectively. The company wants to build its new plant ir the location that would minimize the annual shipping miles. However, JB Corp.also wants to be within 50 miles of each the new customers so that it witt be easy to provide an-site technical support for any production problems that may occur. Based on optimization (location problem) model, implement your model in a spreadsheet and solve - what should be the optimal location for the new plant