2. [Linear Programming/Assignment Model Model Formulation (15 pts)] The Gamecocks Engine Company has five salespersons, whom the firm wants to assign to five sales regions. Given their various previous contacts, the salespersons can cover the regions in different amounts of time. The amount of time (days) required by each salesperson to cover each city is shown in the following table. Which salesperson should be assigned to each region to minimize total traveling time? Please formulate a linear programming model (assignment model). You dont have to identify the optimal assignments by solving your model with the EXCEL Solver to any software.

(a) What are the Decision Variables? (2 pt)

(b) What is the Objective Function? (3 pts)

(c) What are Constraint Equations including non-negativity constraints? (10 pts)