Please help me with the below question.

An economy is initially described by the following equations

C=500 + 0.75(Y-T)

I =1,000 - 50r

M=P =Y 200r

G =1; 000

T =1; 000

M =6; 000

P =2

Drive and graph the IS curve and the LM curve. Calculate the equilibrium interest rate and

income. Label that point A on your graph.

b. Suppose a newly elected president cuts taxes by 20%. Assuming that the money supply is held

constant, what are the new equilibrium interest rate and income? What is the tax multiplier?

c. Now assume that central bank adjust the money supply to hold the interest rate constant.

What is the new equilibrium income? What is the tax

multiplier?

d. Now assume that the central bank adjust the money supply to hold income constant. What is

the new equilibrium interest rate? What must the money supply be? What is the tax multiplier?