Use the formula and show your work for each question.

SCMN3710 LOGISTICS BONUS QUIZ #1 The LeafBarrow Co., inventor of a new type of wheelbarrow that makes it possible to rake leaves directly into it so you don't have to bend over to collect them, has decided to build its first factory and will use the grid technique to identify the geographic location where their total inbound and outbound transportation costs are minimized. 1500 Boston 1200 Buffalo New York Philadelphia City 900 St. Louis, Memphis 600 Atlantad 300 Jacksonville 0 300 600 900 1200 The inbound grid coordinates, transportation rates and volumes are as follows: Source Buffalo Memphis St. Louis Horizontal 700 250 225 Vertical 1,125 600 825 Rate ($/ton-mile) $1.25 $1.10 $1.15 Tons/yr. 275 550 800 The outbound grid coordinates, transportation rates and volumes are as follows: Market Atlanta Boston Jacksonville Philadelphia New York Horizontal 600 1,050 800 925 Vertical 500 1,200 300 975 1,080 Rate ($/ton-mile) $1.75 $1.95 $1.65 $2.05 $2.00 Tons/yr. 475 300 350 250 225 1,000 1. What is the horizontal (x) coordinate of the geographic center where total inbound and outbound transportation costs are minimized? (4 points) 2. What is the vertical (y) coordinate of the geographic center where total inbound and outbound transportation costs are minimized? (4 points) 3. Since Atlanta is the outbound destination with the most volume, there has been some consideration to locating the factory there. What is the minimum distance (straight line) between Atlanta and the geographic center where inbound and outbound transportation costs are minimized? (2 points) C = Er;d; S; + ER; D; M; Er; S; + E R; M; C = Ton-mile center = Raw materials transportation rate R = Finished goods transportation rate d = Distance to RM grid location for D = Distance to FG grid location for i s = Volume (weight) of RM purchased from source M = Volume (weight) of FG sold in market