Rauschenberg Manufacturing is investigating which locations would best position its new plant relative to three important customers (located in cities A, B, and C). As shown in the table below, all three customers require multiple daily deliveries. Management limited the search for this plant to those three locations and compiled the following information:
Location Deliveries per day
x-coordinate y-coordinate
A 3 300 300
B 9 300 100
C 2 200 200
a. Which of these three locations yields the smallest total travel distance, based on Euclidean distances?
Location yields the shortest travel (transportation) distance of nothing miles.
distance travelled when the plant is located at A
3 x0 + 9x [ (300-300)2 + (300-100)2]1/2 + 2x[ (300-200)2+ ( 300-200)2]1/2= 1800+ 282.84 = 2082.84
Distance travelled when the plant is at B
3x [ (300-300)2+(100-300)2]1/2 +0+2 x[ (300-200)2+(100-200)2]1/2 = 600+282.84 = 882.84
Distance when plant is located at C
3 x{ (200-300)2 + (200-300)2]1/2+9x [ (300-200)2+(100-200)2]1/2+0 = 1697.04
The least cost is obtained when the location is at B. The distance is 882.84
Rauschenberg Manufacturing is investigating which locations would best position its new plant relative to three important...
Rauschenberg Manufacturing is investigating which locations would best position its new plant relative to three important customers? (located in cities? A, B, and? C). As shown in the table? below, all three customers require multiple daily deliveries. Management limited the search for this plant to those three locations and compiled the following? information:?????????????????????????????????????????????????????????????????????????????????????????????? Location Coordinates? (miles) Deliveries per day A ?(300?,300?) 4 B (500,100?) 8 C ? (300,100) 2 a) Which of these three locations (A, B or C)...
Rauschenberg Manufacturing is investigating which locations would best position its new plant relative to three important customers (located in cities A, B, and C). As shown in the table below, all three customers require multiple daily deliveries. Management limited the search for this plant to those three locations and compiled the following information Location Deliveries per day x-coordinate y-coordinate A 9 100 100 B 8 400 200 C 7 300 400 Which of these three locations yields the smallest total...