Question 1). The Al-Zubair Company in Dhahran, Eastem Saudi Arabia produces processed dates at three plants in Jeddah, Medina and Abha (Nodes 1,2 and 3). These processed dates can be shipped directly to their two customers (Nodes 6 and 7) or they can first be shipped to the company's two warehouses (Nodes 4 and 5) and then to the customers. The cost of producing processed dates at each plant is the same, so. Al-Zubair Company is concerned with minimizing the total shipping cost incurred in meeting customer demands. The production capacity of each plant (in tons per year) and the demand of each customer are shown in Table 1. The cost of shipping a ton of processed dates (In thousands of dollars) between each pair of points is given in the Table 2, where a dash indicates that Al-Zubair Company cannot ship along that route. Al-Zubair wants to determine a minimum-cost shipping schedule. Table 2 From Node (i). Draw a network diagram showing all the routes and nodes. (ii). Formulate the problem as a transshipment linear programming problem for the purpose of establishing the most economical shipping plan from the standpoint of AlZubair company. (iii). Solve the problem and determine the optimal quantity of processed dates shipped from each plant to each customer destination. Question 1). The Al-Zubair Company in Dhahran, Eastem Saudi Arabia produces processed dates at three plants in Jeddah, Medina and Abha (Nodes 1,2 and 3). These processed dates can be shipped directly to their two customers (Nodes 6 and 7) or they can first be shipped to the company's two warehouses (Nodes 4 and 5) and then to the customers. The cost of producing processed dates at each plant is the same, so. Al-Zubair Company is concerned with minimizing the total shipping cost incurred in meeting customer demands. The production capacity of each plant (in tons per year) and the demand of each customer are shown in Table 1. The cost of shipping a ton of processed dates (In thousands of dollars) between each pair of points is given in the Table 2, where a dash indicates that Al-Zubair Company cannot ship along that route. Al-Zubair wants to determine a minimum-cost shipping schedule. Table 2 From Node (i). Draw a network diagram showing all the routes and nodes. (ii). Formulate the problem as a transshipment linear programming problem for the purpose of establishing the most economical shipping plan from the standpoint of AlZubair company. (iii). Solve the problem and determine the optimal quantity of processed dates shipped from each plant to each customer destination