A chain of home healthcare firms in Ontario 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 province, as

detailed in the following table. Each site, except for Toronto, will be visited six times each year by a team of workers, who

will drive from the central office to the site. Toronto will be visited twelve times a year.

Map Coordinates

City X Y

Oshawa $19\mathrm{.}213\mathrm{.}5$

Richmond Hill $17\mathrm{.}312\mathrm{.}5$

Toronto $17\mathrm{.}811\mathrm{.}4$

North Bay $15\mathrm{.}018\mathrm{.}4$

Tobermory $12\mathrm{.}816\mathrm{.}5$

Guelph $15\mathrm{.}512\mathrm{.}4$

Waterloo $15\mathrm{.}013\mathrm{.}6$

Sudbury $13\mathrm{.}818\mathrm{.}5$

a$.$ Which coordinates represent a good central location for this office?

b$.$ What other factors might influence the office location decision?

c$.$ Where would you place this office? Explain.

d$.$ If Guelph were visited twelve times a year, which coordinates represent a good central location for this office?