please show the details about calculation and graph

3. If given the following information (Unit: RM million): Savings (S) = -300 + 0.15Y Investment (1) = 500 - 150r Government expenditure (G) = 300 Taxes (T) = 50 Money supply (M') = 4000 Transaction money demand (ME)= 0.25Y Speculative money demand = 500-250r Price level (P) = 2 (a) Derive the functions of IS and LM in terms of interest rate (r) and income (Y). (b) Calculate the slope of the IS and LM curves. (c) Determine the equilibrium of interest rate and aggregate output in the economy. (d) If the autonomous taxes has increases to RM100 million, i. Calculate the new level of economic equilibrium. ii. Calculate the size of the horizontal shift of IS curve. ili. Sketch the economic changes that occurred before and after the increase in autonomous taxes and explain. (e) If the real money supply increases by RM200 million, i. Calculate the new level of economic equilibrium. ii. Calculate the size of vertical movements of LM curve. ili. Sketch the economic changes that took place before and after the increase in the real money supply and explain