3. (7 pts) Neki Sports Company manufacturers treadmills in factories located in Pittsburgh and Kansas City. These are shipped to regional distribution centers in Chicago, Phoenix, and Philadelphia. Ultimately, they are delivered to supply houses in New York and Los Angeles. The available supplies at the factories, demands at the final destinations, and shipping costs are illustrated in the table below. To From Chicago Phoenix Philadelphia New York Los Angeles Supply Pittsburgh $4 SE $2 2000 Kansas City $6 $5 1000 Chicago Phoenix Philadelphia 2 Demand 1200 800 Refer to the information above. Formulate this problem as a linear programming problem to minimize the total transportation costs. Please formulate the problem (identify the decision variables, the objective, and the constraints) and then solve the problems with Excel