Upstate Retailing Chain has four regional department stores in New York state. These four stores are located in Albany, Buffalo, Syracuse, and Utica. The executive office just recruited three MBA graduates from various SUNY campuses. These three MBA graduates are David, Erica, and Frank. Each of the three MBA graduates will be assigned to a regional department store for training. The executive office indicates that each regional department store can only get at most one MBA graduate. The accounting office just calculated the possible training costs and summarized these possible costs in the following table.

Table of The Training Cost

Albany Buffalo Syracuse Utica

David $920 $ 850 $800 $1005

Erica $1150 $950 $1075 $1105

Frank $1090 $1205 $1115 $1235

Part a) The executive office wants to minimize the total training cost.Use the network concept and its linear 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) If Syracuse store is closed permanently due to corporation downsizing and no longer accept trainees. How will you modify your linear program from the previous part to include this update?