1. Consider the following LP model: marimize : = 4.01 + 612 + 8.13 subject to -21 - 12 +13 0 Part a. Find the optimal solution using the Big M method. What are the values of the basic variables in the final optimal solution? What are the values of the non-basic variables in the final optimal solution? Part b. Find the optimal solution using the Two-phase method. What are the values of the basic variables in the final optimal solution? What are the values of the non-basic variables in the final optimal solution? (You should include detailed steps of your work in your answer)