一道AP微观经济题Suppose the supply and demand equations for the mar

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一道AP微观经济题
Suppose the supply and demand equations for the market for orange shirts.
S: Q= -10 + 45P
D: Q= 190 - 5P
i. Find the equilibrium price.

ii. Suppose that orange clothing goes out of fashion, reducing the demand by 50 (so that Q= 140 - 5P). Find the new equilibrium.

iii. Further suppose that government imposes a 3 dollar tax on consumers. What is the new equilibrium? What fraction of the tax do consumers pay? What fraction do producers?

i、when equilibrium,S.Q=D.Q——>-10+45P=190-5P——>P=4;
ii、the same:S.Q=D.Q——>-10+45P=140-5P——>P=3
iii.D.P=(190-Q)/5; D(tax).P=D.P+tax=（190-Q)/5+3
D(tax).P=S.P——>（190-Q)/5+3=(Q+10)/45——>Q=183.5=183 p=(Q+10)/45=4.3
producers:4.3-4=0.3
CONSUMERS:4-(190-183)/5=2.6

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