Question

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 20 feet apart, while those that share a corner are 35 feet apart. The distances between A and E and between B and F are 40 feet, while the distances between A and F and between B and E are approximately 50 feet. Dr. Douvas also has estimates of the number of trips made by patients and staff between the various departments each day. Front Denote this map of the floor as shown below. Outpatient Physical Therapy Department Waiting Reception Records/Lounge Examination A: Waiting B: Reception C: Records/Lounge D: Examination E: Outpatient Surgery F: Physical Therapy 95 25 30 145 15 10 15 20 15 50 10 20 30 Click the icon to view the number of interdepartmental trips made per day between different departments a. If Dr. Douvas wants the reception area assigned to area B, the maximum possible number of arrangements is (Enter your response as a whole number.) feet. (Enter your response as a whole number.) b. The total distance of the given layout is

Answer 1

a. If Area B is assigned to reception then maximum possible number of arrangements are factorial(5) = 5! = (5*4*3*2*1) = 120

b.

Total Distance to A: Waiting = 95*20 + 25*20 + 30*35 + 10*40 + 20*50 = 4850

Total Distance to B: Reception = 145*35 + 15*20 + 10*50 + 15*40 = 6475

Total Distance to C: Records/Lounge = 20*20 + 15*20 + 0*35 = 700

Total Distance to D: Examination = 50*35 + 10*20 = 1950

Total Distance to E: Outpatient surgery = 30*20 = 600

Total distance = 4850+6475+700+1950+600 = 14575 feet