Question

The demand and supply functions of a firm are given as follows: Qd = 10 -...

The demand and supply functions of a firm are given as follows: Qd = 10 - 3P and Qs = 2 + P

a) Determine the equilibrium price and quantity. b) Derive the price elasticity of demand assuming that the price level falls 10% below the equilibrium price. Please draw the diagram and also explain each step and reasoning.

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Answer #1

Demand function Supply function Qo=10-31 as = 2th Equilibrium = Oo= as 10-31=2 tl 8=48 [+2 Put this in Op we get / d = 4 /条 PIso Oo=10-3? At p = 1.8 09 - 10 -341-0) Op -10 -5.4 10o = 4.6 So Oo rises from 4 to 4.6 7. change in quantity or 42 x 100 > 4

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