For (b), how do I find the final tableau and the optimal solution with Simplex Method (not using graphical method)?

Problem 9 (10pts) A chemical firm makes two types of industrial solvents, S1 and S2. Each solvent is a mixture of three chemicals. Each kL of S1 requires 12L of chemical A, 9L of chemical B, and 30L of chemical C. Each kL of S2 requires 24L of chemical A, 5L of chemical B, and 30L of chemical C. The profit per kL of S1 is \$100, and the profit per kL of S2 is \$85. The inventory of the company shows 480 L of chemical A, 180 L of chemical B, and 720 L of chemical C. Assuming the company can soll all the solvent it makes, find the number of kL of each solvent that the company should make to maximize profit. (a). Formulate this problem as a linear programming problem (denote sias the number of kL of S1, and x2 the number of kL of S2 ). (b). Find the final tableau from Simplex method and give the optimal solution