Widgetco manufactures widgets at two factories, one in Memphis and one in Denver. The Memphis factory can produce as many as 150 widgets per day, and the Denver factory can produce as many as 200 widgets per day. Widgets are shipped by air to customers in Los Angeles and Boston. The customers in each city (L.A. and Boston) require 130 widgets per day. Because of the deregulation of airfares, Widgetco believes that it may be cheaper to first fly some widgets to New York or Chicago and then fly them to their final destinations. The costs of flying a widget are shown in Table 58. Widgetco wants to minimize the total cost of shipping the required widgets to its customers. TABLE 58 Shipping Costs for Transshipments To (5) Denver NY Memphis 0 0 From Memphis Denver NY Chicago LA Boston 8 15 0 Chicago 13 12 6 0 LA 25 26 16 14 0 Boston 28 25 17 16 Part a) Draw the transshipment network of the problem [20 points) Part b) Create the initial tableau of the problem (40 points] Part c) Formulate the linear programming model of the problem [40 points] Note: The model should be balanced