A solid waste management company intends to use 4 different types of waste materials to make 3 different grades of products. The products Grade A is better than product Grade B which is still better than product Grade C. However, the technical team that has prepared the blueprint for manufacture of these products has laid down following requirements. Grad Specification Material e Amalgamat Selling ion cost price S 3 per kg $ 8.5,per kg Available amount (kg) COSE Treatment per kg A 1 3000 $3 Material 1: Not more than 30% of total weight Material 2: Not less than 40% of total weight Material 3: Not more than 50% of total weight Material 4: Exactly 20% of total weight Material 1: Not more than 50% of total weight Material 2: Not less than 10% of total weight Material 4. Exactly 10% of total weight Material 1: Not more than 70% of total weight 2 2000 $6 B $ 2.5 per kg $ 7 per kg 3 4000 $4 1000 SS $ 2 per kg S 5.5 per kg Additionally, for each material, at least half of the amount available must be collected and treated. Also, exactly $ 30000 should be used to treat these materials. Formulate an LPP to find how much amount of material should be treated and how much grade of product should be made