Dr. Mike Douvas is opening a new sports clinic and is wondering how to arrange the six different departments of the clinic: A. Waiting: B. Reception; C. Records and staff lounge; D. Examination; E. Outpatient surgery; and F. Physical therapy. The six marked areas are big enough to handle any of the departments, although Dr. Douvas wants to have Reception near the front door (for obvious reasons). Areas that share a side are approximately 15 feet apart, while those that share a corner are 20 feet apart The distances between A and E and between B and F are 30 feet, while the distances between A and F and between B and E are approximately 40 feet. Dr. Douvas also has estimates of the number of trips made by patients and staff between the various departments each day. Click the icon to view the map of the clinic. Click the icon to view the number of interdepartmental trips made per day between different departments. a. If Dr. Douvas wants Reception assigned to area B, the maximum possible number of arrangements is (Enteryour response as a whole number) b. The total distance of the given layout is feet. (Enteryour response as a whole number.) Denote this map of the floor as shown below. Dr. Mike Douvas is opening a new sports clinic and is wondering how to arrange the six different departments of the clinic: A. Waiting: B. Reception; C. Records and staff lounge; D. Examination; E. Outpatient surgery; and F. Physical therapy. The six marked areas are big enough to handle any of the departments, although Dr. Douvas wants to have Reception near the front door (for obvious reasons). Areas that share a side are approximately 15 feet apart, while those that share a corner are 20 feet apart The distances between A and E and between B and F are 30 feet, while the distances between A and F and between B and E are approximately 40 feet. Dr. Douvas also has estimates of the number of trips made by patients and staff between the various departments each day. Click the icon to view the map of the clinic. Click the icon to view the number of interdepartmental trips made per day between different departments. a. If Dr. Douvas wants Reception assigned to area B, the maximum possible number of arrangements is (Enteryour response as a whole number) b. The total distance of the given layout is feet. (Enteryour response as a whole number.) Denote this map of the floor as shown below