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Problem 2 An army division has five troop encampments in the desert, and the division leaders want to determine location(s) for supply depot(s) to serve the camps. The (x, y) coordinates in miles) of the camps, A, B, C, D, and E, and the monthly number of truck trips from a supply depot to each camp are as follows Camp Monthly trip frequency 15 12 20 25 17 100 250 300 400 300 180 400 150 200 Consider each trip of a truck from a supply depot to a camp as a one-way trip (i.e., trucks do not come back to the supply depot) The division leaders have identified 4 possible locations for supply depot(s). Each location can accommodate only one supply depot. The (x, y) coordinates of the 4 possible locations are as follows Possible location 250 220 190 300 200 250 230 400 4 The unit travel cost is $3 per mile and the monthly fixed cost to run each supply depot is $6,000a) (4 points) Please answer the following questions using the rectilinear distance. How many supply depot(s) should be built in order to minimize the total cost (total cost +fixed cost) per month? Which location(s) should be selected? travel costb) (4 points) Please answer the following questions using the straight-line distance. How many supply depot(s) should be built in order to minimize the total cost (total cost travel cost +fixed cost) per month? Which location(s) should be selected?

Detail calculation step, pls.

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