Mr. Anderson owns a hardware store chain that just recruited three new assistant managers, Alice, Ben, and Carlie. Each of the three assistant managers will be assigned to a regional store for training. There are four regional stores and they are located in Utica, Syracuse, Rochester, and Buffalo. Mr. Anderson indicates that each regional store can only get at most one new assistant manager.

The training costs are shown here in the table.

Trainees/Offices	Utica	Syracuse	Rochester	Buffalo
Alice	$2200	$2550	$3100	$2005
Ben	$2100	$2770	$2600	$2705
Carlie	$3060	$2575	$2915	$2475

Part a) Mr. Anderson wants to minimize the total training cost. Use the network concept to create a network 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 Rochester store is closed due to the local city re-zoning restrictions and no longer accept trainees. How will you modify your linear program from the previous part to include this update?