please all answer for Project industrial management

Question 1 Synergy Sdn Bhd is a small firm that produces a variety of chemical products. In a particular production process, three (3) raw materials are blended (mixed together) to produce two (2) products, i.e. a fuel additive and a solvent base. Each ton of fuel additive is a mixture of 2/5 ton of material 1 and 3/5 of material 3. A ton of solvent base is a mixture of 1/2 ton of material 1, 1/5 ton of material 2, and 3/10 ton of material 3. After deducting relevant costs, the profit contribution is RM40 for every ton of fuel additive produced and RM30 for every ton of solvent base produced. Synergy's production is constrained by a limited availability of the three raw materials. For the current production period, the relevant data required in each materials are given in the Table 1 below: Raw Material Material 1 Table 1 Amount Available for Production 20 tons 5 tons 21 tons Material 2 Material 3 Assuming that Synergy Sdn Bhd is interested in maximizing the total profit contribution, answer the following: (a) Formulate the Linear Programming (LP) model for this problem. (7 marks, C5) (b) Find the optimal solution using the graphical solution procedure. How many tons of each product should be produced, and what is the projected total profit contribution? (6 marks, C5) (c) Determine is there any unused material? If so, how much? (1 mark, C5) (d) Are any of the constraints redundant? If so, which ones? (1 mark, C5)