Question #265391

Following are the demand and supply function of a market


QDA = 8000 - 1000Px, QSA= - 4000+2000Px


i) Find out the market clearing price and quantity.


ii) Plot, on one set of axes, the market demand curve and the market supply curve for commodity A and show the equilibrium point.


iii) Is the equilibrium stable? Explain.


1
Expert's answer
2021-11-14T17:38:15-0500

(I)

Qd=80001000pQs=4000+2000pQd=Qs80001000p=4000+2000p8000+4000=2000p+1000p12000=3000pp=4Q=8000(1000×4)=4000unitsQd=8000-1000p\\Qs=-4000+2000p\\Qd=Qs\\8000-1000p=-4000+2000p\\8000+4000=2000p+1000p\\12000=3000p\\p =4\\Q=8000-(1000×4)\\=4000units

(ii)


(iii) Equilibrium is stable. This is because at point E demand and supply are at balance.


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