P2 [35pts]: Consider the following optimization model: max 4x1 + 3x2 s.t: 2x1 + x2 0,x220 a) [15pts] Put the model into standard form and add additional variables as needed to generate the first simplex tableau. b) [10pts] Execute a single iteration of the simplex algorithm. Do not go beyond a single iteration. (Provide details to show your work! Even if your final result is correct, you will not receive full points if you don't show intermediate steps.) c) [10pts] Formulate the dual of the formulation. (Hint: you do not need to solve (a) or (b) to answer this question)