Hatch Financial, which recently absorbed another firm, is now downsizing and must relocate five information systems analysts from recently closed locations. Unfortunately, there are only three positions available for five people. Salaries are fairly uniform among this group (those with higher pay were already given the opportunity to begin anew). Moving expenses will be used as the means of determining who will be sent where. Estimated moving expenses are in the accompanying table. Model this as an integer optimization model to minimize cost and determine which analysts to relocate to the three locations.

Analyst Gary Salt Lake City Fresno Arlene 8500 12500 5500 Bobby 12500 4500 5000 Charlene 5000 11000 8500 Douglas 15500 14000 10000 Emory 4000 14500 7000

To minimize the costs,

should relocate to Gary,

should relocate to Salt Lake City, and

should relocate to Fresno.