model the problem as LP 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 8 5.000 Factory 4 115,000 1 Table 2: Warehouse Weekly Minimum Demand Warehouse Warehouse Warehouse3 Warehouse4 Warehouse 5 Warehouse 50,000 60,000 55,000 45,000 65.000 55,000 Warehouse 7 0,000 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 $2, 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. Company policy indicates that they cannot ship from Factory 2 to Warehouse 1 unless they ship from Factory 2 to Warehouse 2. Warehouse 4 also needs to at least receive 30% of its demand from Factory 4. Table 3: Base Cost, $ Warehouses 2 500 100 400 800 Factories 600 200 500 700 700 100 600 900 S 500 400 500 700 300 300 400 800 800 200 400 700 500 600 600 The company needs to ship its products from the factories to the warehouses at minimal cost. Model the problem as a linear program