BIGGBY COFFEE, a Michigan-based national coffee chain, is looking to expand its Ann Arbor presence to steal market share from Starbucks. Ann Arbor can be approximated geographically as a diamond (as discussed in lecture) and assumed to have a uniformly distributed population (i.e., demand). Ann Arbor has an area of 30 square miles and a demand density of 4000 people per square mile. BIGGBY COFFEE locations cost $700,000 to open and can be placed anywhere within the Ann Arbor city boundaries. Due to the numerous other options to get coffee, BIGGBY needs to