Please provide answers and explanations for part a-d please

In addition to the problems suggested in the last slide of my PPT, this may be useful practice: 30) Consider an economy with the following parameters: MPC = 0.8 T = 200 G = 200 X = 300 M = 200 Ms = 2000 Md = 0.3Y - 70r Ca = 1200 - 8r lp = 660 -12r a) (5 pts) Derive and clearly show the IS curve; derive and clearly show the LM curve b) (5 pts) Find the equilibrium income and interest rate c) (5 pts) Calculate the new equilibrium income and interest rate if government expenditures increased by 100 d) (5 pts) Explain, in one sentence, what happened to lp in the new equilibrium (note: explain # describe)