Fourth Lab Assignment, Monday Instructions: Model the following problem(s) then code it/them using google colab and submit your code by the end of the lab session. You need to submit your linear program along with your code, failing to do so will result in receiving zero points for the assignment 1 Problem Statement The SAVE-IT COMPANY operates a reclamation center that collects four types of solid waste materials and treats them so that they can be amalgamated into a salable product. (Treating and amalgamating are separate processes.) Three different grades of this product can be made (see the first column of Table 1). depending upon the mix of the materials used. Although there is some flexibility in the mix for each grade. quality standards may specify the minimum or maximum amount allowed for the proportion of a material in the product grade. (This proportion is the weight of the material expressed as a percentage of the total weight for the product grade.) For each of the two higher grades, a fixed percentage is specified for one of the materials. These specifications are given in Table 1 along with the cost of amalgamation and the selling price for each grade. Table 1: Product data for Save-It Co. Amalgamation Selling Price Grade Specification Cost per Pound (8) per Pound (S) A Material 1: Not more than 30% of total Material 2: Not less than 40% of total Material 3: Not more than 50% of total Material 4: Exactly 20% of total 3.00 8.50 B Material 1: Not more than 50% of total Material 2: Not less than 10% of total 2.50 7 Material 4: Exactly 10% of total C Material 1: Not more than 70% of total 5.50 The reclamation center collects its solid waste materials from regular sources and so is normally able to maintain a steady rate for treating them. Table ?? gives the quantities available for collection and treatment cach week, as well as the cost of treatment, for each type of material. The Save-It Co. is solely owned by Green Earth, an organization devoted to dealing with environmental issues, so Save-It's profits are used to help support Green Earth's activities. Green Earth has raised contributions and grants, amounting to $30,000 per week, to be used exclusively to cover the entire treatment cost for the solid waste materials. The board of directors of Green Earth has instructed the management of Save-It to divide this money among the materials in such a way that at least half of the amount available of each material is actually collected and treated. These additional restrictions are listed in Table ??. Within the