2. (12 points) Consider the following supply and demand system p = 15 8 q 2 3 (S) p = 10 5 8 q 2 3 (D) This economy is represented by the matrix equation below. Ax = b where x = p q 2 3 , b = 0 10 a) (2 points) Fill in the values for A. A = b) (3 points) Without solving the system, confirm that the economy has exactly one equilibrium. c) (2 points) Comment on the following solution for the equilibrium. Ax = b AxA1 = bA1 post-multiply by inverse AA1 x = bA1 rearrange left hand side x = bA1 cancel out A and A 1 d) (5 points) Calculate consumer surplus at the equilibrium