Please show all work with final answer.

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 tables below. Find the lowest cost transshipment schedule using linear programming. (Upload your answers in a word file. Attach the excel file with the calculations along with the word file.) a) What is the objective function? b) What are the constraints? c) How many treadmills are sent from Kansas City to each of the regional distribution centers? d) How many treadmills are sent from Chicago to each of the supply houses? e) How many treadmills are sent from Philadelphia to each of the supply houses? f) How many treadmills are sent from Phoenix to each of the supply houses? g) What is the total cost of transshipment? h) Which factory(ies) has excess production capacity and by how much? Which factory(ies) has excess production capacity and by how much