Question #275944

Quantity demanded= 20000-3P

quantity supplied= 15000+2P

a. calculate the equilibrium price and quantity.

b. calculate the price elasticity of supply using the point method when the economy is in equilibrium.



1
Expert's answer
2021-12-09T12:09:51-0500

a.

Qs=Qd

20000-3P=15000+2P

P=1000

Q=17000

b.

Es=Q2Q1Q2+Q12P2P1P2+P12Es=\frac{\frac{Q2-Q1}{\frac{Q2+Q1}{2}}}{\frac{P2-P1}{\frac{P2+P1}{2}}}


P1=1000

P2=1200

Q1=17000

Q2=18000


Es=Q2Q1Q2+Q12P2P1P2+P12=180001700018000+170002120010001200+10002=0.0570.18=0.31Es=\frac{\frac{Q2-Q1}{\frac{Q2+Q1}{2}}}{\frac{P2-P1}{\frac{P2+P1}{2}}}=\frac{\frac{18000-17000}{\frac{18000+17000}{2}}}{\frac{1200-1000}{\frac{1200+1000}{2}}}=\frac{0.057}{0.18}=0.31



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