Question: You need to locate a helicopter service to serve the following locations in Alaska. The average number of trips per month follows the “map.” Locate the service to minimize the overall flying miles per month.

Each grid mark represents 10 miles.

Trips to A will be 25, trips to B will be 60, trips to C will be 50 and trips to the D location will be 5. These trips are per month values.

a) Give the best location to 1 decimal in X and Y coordinates.

b) What will be the longest one-way flight distance for the helicopter?

c) In this location, what are the overall miles traveled per month for the helicopter?

(Remember the trips must be “round trips” – double the miles.)

d) If the cost to fly a helicopter is 8 dollars per mile, what is the cost? of this solution per month?

e) Presently, the location is at point (10,2). From this location, what is the cost per week to operate the chopper service?

f) You can move the helicopter service to the location (identified in “a”) at a cost of $150,000. You can borrow the money at 7% for 15 years. Is this a good move? Why / why not?