a. Y = C + I + G = 200 + 0.75(Y - 100) + 200 - 25r + 100 r Y
Y = 200 + 0.75Y - 75 + 200 -25r + 100 0 1700
Y - 0.75Y = 425 -25r 1 1600
 0.25Y = 425 - 25r 2 1500
Y =1700 - 100r This is IS equation 3 1400
4 1300
5 1200
6 1100
7 1000
8 900
b. M/P = Y - 100r
 1000/2 = Y - 100r
 500 = Y - 100r
Y = 500 + 100r This is LM equation r Y
0 500
1 600
2 700
3 800
4 900
5 1000
6 1100
7 1200
8 1300
c. Set Y = Y
1700 - 100r = 500 + 100r
1200 = 200r
r = 1200/200 = 6
Y = 1700 - 600 = 1100
d. Y = C + I + G = 200 + 0.75(Y - 100) + 200 - 25r + 150
Y = 200 + 0.75Y - 75 + 200 -25r + 150
Y - 0.75Y = 475 -25r
 0.25Y = 475 - 25r
Y =1900 - 100r This is new IS equation The IS curve shifts up by 200
 Set Y = Y
1900 - 100r = 500 + 100r
1400 = 200r
r = 1400/200 = 7
Y = 1900 - 700 = 1200
e. M/P = Y - 100r
 1200/2 = Y - 100r
 600 = Y - 100r
Y = 600 + 100r This is new LM equation The LM curve shifts up by 100
 Set Y = Y
1700 - 100r = 600 + 100r
1100 = 200r
r = 1100/200 = 5.5
Y = 1700 - 550 = 1150
f. M/P = Y - 100r
 1000/4 = Y - 100r
 250 = Y - 100r
Y = 250 + 100r This is new LM equation The LM curve shifts down by 250
 Set Y = Y
1700 - 100r = 250 + 100r
1450 = 200r
r = 1450/200 = 7.25
Y = 1700 - 7250 = 975
g. M/P = Y - 100r Y P
 1000/P = Y - 100r 1350 1
 100r = Y - 1000/P 1100 2
r = Y/100 - 10/P This is LM equation expressing r in terms of Y 1016.667 3
From IS equation, solve for r in terms of Y 975 4
100r = 1700 - Y 950 5
r = 17 - Y/100 933.3333 6
Set r = r 921.4286 7
Y/100 - 10/P = 17 - Y/100 912.5 8
2Y/100 = 17 + 10/P
Y/50 = 17/P
Y = 850 + 500/P
This aggregate demand curve will shift if fiscal or monetary changes, as in parts (d) and (e).