TE 3315 Operations Research Lab 5 Instructions: Model the given problem as a linear program and solve it using Python and the package Pulp. Answer the all parts of the problem and screen shot the optimal solutions. Include the linear program and your snapshots into a word document - well labeled so your graders can give you the maximum amount of points possible. Submit your word document and all code files as one zip folder onto the open portal of the e-learning system. Each student is required to submit their own individual work. Your group is to help you brainstorm and understand. Problem Statement: A company has four factories and seven warehouses where they ship their ready products to for assortment before the warehouses ship to the company's stores. The weekly production capacity of the factories is shown in Table 1, and the minimum required number of products by each warehouse weekly is shown in Table 2. Table 1: Factories Weekly Capacity Factory 1 Factory 2 90,000 120,000 Factory 3 85,000 Factory 4 115,000 Table 2: Warehouse Weekly Minimum Demand Warehouse Warehouse 2 Warehouse3 Warehouse4 Warehouse5 Warehouse6 50,000 60,000 55,000 45,000 65,000 55,000 Warehouse 7 70,000 The cost from the factories to the warehouses has a base cost that is dependent on the distance between them. The company estimated that the shipping cost per item is S2, and the base cost is given in Table 3. The total shipping cost for shipping from a factory to a warehouse is the base cost plus two times the number of products shipped. The company also takes into account the cost of the returning empty truck as part of its cost. Company policy indicates that Factory 2 needs a fourth of its production to Warehouse 5. It also indicates that Factory 1 ships equally to Warehouses 1 and 5. Table 3: Base Cost, $ Warehouses 300 500 500 100 400 800 Factories 600 200 500 700 700 100 600 900 6 800 200 400 700 300 300 400 800 500 400 500 700 600 600 The company needs to ship its products from the factories to the warehouses at minimal cost. Model the problem as a linear program and solve it using software