The operations manager for Mile$-$High Lemonade narrowed the search for a new facility location to six communities. Annual fixed costs $($land$,$ property taxes, insurance, equipment, and buildings$)$ and variable costs $($labor$,$ materials, transportation, and variable overhead$)$ are shown in the following Table:

Community Fixed Cost Variable Cost per Barrel

Aurora $14,50017$

Boulder $15,00018$

Colorado Springs $13,00020$

Denver $14,00018$

Fort Collins $13,50021$

Golden $15,50019$

Nashville $12,50022$

a$)$ Which of the communities can be eliminated from further consideration because they are dominated by another community

b$)$ Considering three communities: Aurora, Colorado Springs, and Denver. Using Locational Cost$$Volume Analysis to determine the range over which each community provides the lowest cost.