Pesla manufactures electric motors at two factories, one in Memphis and one in Denver. The Memphis factory can produce as many as 150 electric motors per day, and the Denver factory can produce as many as 200 electric motors per day. Electric motors are shipped by air to customers in Los Angeles and Boston. The customers in each city require 130 electric motors per day. Because of the deregulation of airfares, Widgetco believes that it may be cheaper to first fly some electric motors to New York or Chicago and then fly them to their final destinations. The costs (in dollars) of flying an electric motor are shown in the table. Widgetco wants to minimize the total cost of shipping the required electric motors to its customers. a) Draw a network representation of this problem b) Formulate this problem as a linear programming problem: Define decision variables, constraints, and objective function. c) Solve this problem in Excel and explain its optimal solution