27 The Father Domino Company sells copying machines.

A major factor in making a sale is Domino’s quick service.

Domino sells copiers in six cities: Boston, New York,

Philadelphia, Washington, Providence, and Atlantic City.
The annual sales of copiers projected depend on whether a service representative is within 150 miles of a city (see Table 24).
Each copier costs $500 to produce and sells for $1,000.
The annual cost per service representative is $80,000.
Domino must determine in which of its markets to base a service representative. Only Boston, New York, Philadelphia, and Washington are under consideration as bases for service representative. The distance (in miles)
between the cities is shown in Table 25. Formulate an IP that will help Domino maximize annual profits.

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TABLE 24 Representative Within 150 Sales Miles? Boston N.Y. Phila. Wash. Prov. Atl. City Yes No 500 700 1,000 900 750 700 800 400 450 450 200 300 TABLE 25 Boston N.Y. Phila. Wash. Boston 0 222 310 New York 222 0 89 Philadelphia 310 89 0 Washington 441 241 146 441 241 146 0 Providence 47 186 255 376 Atlantic City 350 123 82 178