Bloomington Corporation has four regional stores in New York state These four stores are located in Rochester, Ithaca, Albany, and Utica The executive office just recruited three MBA graduates from various SUNY campuses These three MBA graduates are Amy, Ben, and Cindy 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 Trainees Offices Rochester Ithaca Albany Utica Amy $1020 $880 $790 $1005 Ben $1250 $950 $990 $1105 Cindy $995 $1205 $1115 $1035 Part a) The executive office 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 Ithaca 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

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Bloomington Corporation has four regional stores in New York state. These four stores are located in Rochester, Ithaca, Albany, and Utica. The executive office just

Bloomington Corporation has four regional stores in New York state. These four stores are located in Rochester, Ithaca, Albany, and Utica. The executive office just recruited three MBA graduates from various SUNY campuses. These three MBA graduates are Amy, Ben, and Cindy. 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

Trainees/Offices	Rochester	Ithaca	Albany	Utica
Amy	$1020	$880	$790	$1005
Ben	$1250	$950	$990	$1105
Cindy	$995	$1205	$1115	$1035

Part a) The executive office 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 Ithaca 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?