Please show all steps, formulas and side work please!

1.A chain of home health care firms in Louisiana needs to locate a central office from which to conduct internal audits and other periodic reviews of its facilities. These facilities are scattered throughout the state, as detailed in the following table. Each site, except for Houma, will be visited three times each year by a team of workers, who will drive from the central office to the site. Houma will be visited five times a year.

City X Y

Covington 9.4 3.2

Donaldsonville 7.3 2.5

Houma 7.8 1.4

Monroe 4.8 8.1

Natchitoches 2.6 6.5

New Iberia 5.5 2.4

Opelousas 5.2 3.9

Ruston 3.6 8.5

For the location of the new central office, the coordinates should be near:

x = ?? (round your response to two decimal places).

y = ?? (round your response to two decimal places).

The center-of-gravity approach minimizes the distance traveled assuming straight lines. This approach ignores geographical features that would tend to violate the straight line constraint such as (select all that apply):

1. Trips B. Bridges C.Non-straight roads D.Rivers

2. An American consulting firm is planning to expand globally by opening a new office in one of four countries: Germany, Italy, Spain, or Greece. The chief partner entrusted with the decision, L. Wayne Shell, has identified eight critical success factors (CSFs) that he views as essential for the success of any consultancy. He used a rating system of 1 (least desirable country) to 5 (most desirable) to evaluate each CSF.

Factor Description Weight Germany Italy Spain Greece

Number of consultants 0.05 5 3 5 3

National literacy rate 0.05 5 1 1 1

Stability of government 0.20 5 5 5 4

Product liability laws 0.20 3 1 3 4

Environmental regulations 0.20 3 3 1 4

Similarity in language 0.10 5 1 1 3

Acceptability of consultants 0.10 1 3 4 4

Incentives 0.10 2 2 1 5

a) Based on the given information, for Wayne, the best country to locate the office is

Germany, with a total weighted score of ?? (Enter your response rounded to two decimal places.)

b) If Spain's score were lowered in the Stability of government factor, to a 4, its total weighted score would be ?? (Enter your response rounded to two decimal places.)

Spain will not change its ranking if its score on this factor (within the confines of the 1 to 5 rating system) is not more than ?? (Enter your response as an integer.)

3. The following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub.

City Shipping Load Map Coordinates (x) Map Coordinates (y)

A 5 4 11

B 11 6 9

C 15 5 7

D 5 9 5

E 16 8 7

F 10 4 2

G 6 3 5

a) For the location of the proposed new central hub, the coordinates should be near:

x = ?? (round your response to two decimal places).

y = ?? (round your response to two decimal places).

b) If the shipments from city A triple, for the location of the proposed new central hub, the coordinates should be near:

x = ?? (round your response to two decimal places).

y = ?? (round your response to two decimal places).

4.Subway, with more than 20,000 outlets in the U.S., is planning for a new restaurant in Buffalo, New York. Three locations are being considered. The following table gives the factors for each site.

Factor Weight Maitland Baptist Church Northside Mall

Space 0.30 65 65 80

Costs 0.25 40 80 30

Traffic density 0.20 55 75 65

Neighborhood income 0.15 45 75 45

Zoning laws 0.10 75 15 95

1. Based on the given information, the best location in Buffalo for Subway to open the new restaurant is _________(Northside Mall, Baptist Church, OR Maitland ) with a total weighted score of____??? (Enter your response rounded to two decimal places.)
2. If the weights for Space and Traffic density are reversed, how would this affect the decision?