Question 1 [14 marks] Solve equilibrium values for x and y when: Qd = 2y + 2x2 + 6x - 40=0 (1) Qs = 2y - 6x 2 + 20x -10 = 0 (2) Question 2 [14 marks] Consider the following macroeconomic model: C =50 + 0.8Yd Y = C+I+G I = 40 - 351 Yd = Y - T T =25 G =30 MS = 100 (money supply) Mt = 0.1Y (transactions demand for money) Mz = 60-107.51 (speculative demand for money) Find the values of Y and i when both the commodity markets and money markets are in equilibrium. Question 3 [16 marks] Find the inverse of the following matrix: Determinant = -12 Question 4 [16 marks] Use Cramer's Rule to find values of x, y and z that satisfy the following three equations: 8x + 2y - 10z - 16=0 6y - 4x + 2z - 24=0 8z -2y +6x - 10 =0