how to the economy adjusts to long_run equilibrium please provide explanation and help to write the numerical curve

1. Assume that the long-run aggregate supply curve is vertical at Y= 3,000 while the short- run aggregate supply curve is horizontal at P= 1.0. The aggregate demand curve is Y= 2(M/P) and M = 1.500. (10 Points) a. If the economy is initially in long-run equilibrium, what are the values of P and Y? b. If M increases to 2,000, what are the new short-run values of P and Y? c. Once the economy adjusts to long-run equilibrium at M = 2,000, what are P and Y? 2. Assume that an economy is characterized by the following equations: (15 points) C= 100 + (2/3)(Y- 7) T= 600 G = 500 I - 800 - (50/3) MIP = M /P = 0.5Y - 50r a. Write the numerical IS curve for the economy. b. Write the numerical LM curve for this economy. c. Solve for the equilibrium values of Y and r, assuming = 1.0 and M = 1,200. How do they change when P= 2.0? Check by computing C, 1, and G. d. Write the numerical aggregate demand curve for this economy, expressing Y as a function of G, T, and M/P