ILU Part a) Formulate this problem as an assignment problem and solve it to find the best strategy for assigning production plants to retail outlets. (No need to show your steps, only list all possible assignments and minimum assignment cost) Part b) Each plant can produce up to 150 products per month. Retail outlets 1, 2, and 3 need to receive 100, 120, 150, and 100 products per month. The company makes a revenue of 110 in for the manufacture of each unit of product. (Only show the table) Part c) Use the minimum cost rule to construct an initial BF solution and calculate its transportation cost. (Show the final solution) Question 2: Consider the following activities and their durations and requirements for a construction project. Activity Predecessors Activity Duration (days) Optimistic Most likely Pessimistic try Part a) Draw the project network and determine the critical path in the project network using most likely activity durations. (Show the network, total flow of each activity, and critical path) Part b) How many days activity F could be delayed its early start date without delaying the start date of other activities? (Explanations and calculations) Part c) If company's president wants to have a 95% chance of completing the project before July 30, when should the project began? (Explanations and calculations)