Assume Qx = 220 - 4Px + 3Po + 2.5Y, where Po is the price of a related good and Y measures consumers' income. If Px = 150, Po =160, and Y = 120, what is the point price elasticity?
Ans. Qx = 220 - 4Px + 3P0 + 2.5Y
Given: Px = 150, P0 = 160, and Y = 120
Plugging all these values into Qx function, we have
Qx = 220 - 4( 150 ) + 3(160 ) + 2.5 ( 120 )
Qx = 400
And
Then,
The point price elasticity of demand = % change in Quantity demand / % change in price
=
= ( - 4 ) . 150/400
= - 1.5
Hence, the point price elasticity of demand is ( -1.5 ).
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