4.Suppose the demand for inject printers is estimated to be
Q= 1000-2p+5Px-3Py+0.1Y
P=80 Px= 20 Py= 150 Y= 1000
A.Calculate price elasticity of demand? (2 pt)
B.Calculate cross price elasticity of x and y (Exy)? And state the nature of good
C.Calculate income elasticity of demand and what we can say about the goods
a) "Q= 1000- 2P+ 5PX- 3PY+ 0.1Y"
"Q= 1000-2(80) + 5(20) - 3(150) + 0.1(1000) = 590"
Price elasticity = change in Q/change in P*(P/Q)
"Ped=-2*80\/590 = -0.27"
b) Cross price elasticity of x= (change in Q/ Change in PX)* (PX/Q)
"5*20\/590 = 0.1695"
The good is a substitute since the cross-price elasticity is positive.
Cross price elasticity of y= (change in Q/ change in PY)* (PY/Q)
"-3*150\/590=- 0.7627"
The good is a compliment since its cross-price elasticity is negative.
c) Income elasticity of demand= (change in Q/ change in Y)*(Y/Q)
"0.1*1000\/590= 0.1695"
The goods are normal goods since their income elasticity of demand is positive.
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