Paramount Manufacturing is investigating which location would best position its

Paramount Manufacturing is investigating which location would best position its new plant relative to two suppliers (located in cities A and B) and one market area (represented by city C). Management limited the search for this plant to those three locations and compiled the following information:LocationCoordinates(miles)Tons per YearFreight Rate (Von-mile)A100 200)4000S3B(400 100)3.000$1.00C(100 100)4.00053.00a. Which of the three locations gives the lowest total cost based on Euclidean distances? [Hint The annual cost of inbound shipments from supplier A to the new plant is $12000 per mile (4000 tons per year x $3.00 per ton-mile).)b. Which location is best based on rectilinear distances?C. What are the coordinates of the center of gravity?