Fourth Lab Assignment, Monday Instructions: Model the following problem(s) then code it them wing google colab and admit your code by the end of the lab soice. 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 algamating are The SAVE-IT COMPANY operates a reclamation center that collects four types of solid waste material and treats them so that they can be amalgamated into a salable product. (Treating separate processes) Three different grades of this product can be made (we the fest column of Table 1). depending upon the mix of the materials used. Although there is some Beality is the mix for each grade quality standards may specify the minimum or maxim mount allowed for the proportion of a material in the product grade. (This proportion in the weight of the material expeed a pentage of the total weight for the product grade) For each of the two higher grades, a fixed pentage is specifial for one of the materials. These specifications are given in Table 1 along with the of amalgamation and the selling price for each grade Grade Specification A Table 1: Product data for Sam-It Co Amalgamation Material : Not more than 3% of total Material 2: Not less than 40% of total Material 3: Not more than 50% of total Material & Exactly 20% of al Selling Price Cost per Pound (5) per Pound (8) 8.30 100 B Material 1: Not more than 50% of total Material 2: Not less than 10% of total 230 Material 4: Exactly 10% of al C Material 1: Not more than 70% of total 1.30 ally able t The reclamation center collects its solid waste materials from regular socs and is maintain a steady rate for treating them. Table ?? gives the quatitis alable for collection and tonat each 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 al so Save's profits are used to help suppert Green Earth's activities Geon Earth has raised contributions and grants, amounting to $30,000 per week to be ed exclusively to over the tett the solid waste materials. The board of directors of Gron Earth has instructed the cost for agent of Save- tailable of each to divide this money among the materials in such a way that at least half of the material is actually collected and treated. The additional restrictions are listed in Table Within the Table 2. Solid waste material data for the Save-It Ca Treatment Cost Material Week Available per Pound (5) Pounds per 3000 3.00 2000 6.00 4000 400 1000 5.00 Additional Restrictions pounds per wkable sold be collected and treated 2.830,000 per wk should be restrictions specified in Tables 1 and 77, manage wants to determine the amount of each p to produce and the exact mix of materials to be used for each grade. The objective is to maximize the set weekly profit (total sales income minus total amalgamation cost), laive of the fund tratat cat of $30,000 per week that is being covered by gifts and grants