Poly Books, Inc., a publication company located in Syracuse, wants to assign three recently hired college graduates - Jimmy, Sandy, and Wendy - to regional sales in Albany, Ithaca, and Utica. It is clearly indicated from its HR Office that none of these three graduates will be assigned to the same locations.

The relocate costs are shown here in the table.

Hiree/Office	Albany	Ithaca	Utica
Jimmy	$800	$1,100	$1,200
Sandy	$500	$1,600	$1,300
Wendy	$500	$1,000	$2,300

Part a) The firm is trying to find the optimal assignment of personnel to offices with a minimal relocate cost. Use the network concept and create a network program for the above problem. Make sure you define the variables used and clearly list the objective function and constraints. You do not need to solve the program.

Part b) Later the firm received an update that it also has an opening in New York City and would send one of the three there if it were more economical than a move to Albany, Ithaca, or Utica. It will cost $1,000 to relocate Jimmy to New York City, $800 to relocate Sandy to New York City, and $1,500 to relocate Wendy to New York City. How will you modify your network program from the previous part to include this update?