Md=25y-80r,Ms=2400, p=2
a) Find equilibrium output equation. And Y* when r=12%
b) Find LM curve equation
c) Find slope of LM curve.
d) MS increased to 3000
3. Find equilibrium r
4. Find equilibrium y
Solution
Md=Ms
2400=25Y−80r2400=25Y-80r2400=25Y−80r
r=25Y−240080r=\frac{25Y-2400}{80}r=8025Y−2400 The LM equation
25Y=2400−80r25Y=2400-80r25Y=2400−80r
r=12%
Y=2400−9.625=95.6Y=\frac{2400-9.6}{25}= 95.6Y=252400−9.6=95.6
When Ms is increased to 3000
3000=25y−80r3000=25y-80r3000=25y−80r
80=25y−300080= 25y -300080=25y−3000
LM equation
2580−300080\frac{25}{80}-\frac{3000}{80}8025−803000
Equilibrium when r=12
25Y=3000−80(0.12)25Y = 3000-80(0.12)25Y=3000−80(0.12)
Y=119.6Y = 119.6Y=119.6
c)
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