Assume QA = 4,900 - 60*PA + 10*PB, where QA is the quantity of good A demanded, PA is the price of good A, and PB is the price of good B.
a) Suppose at first PA = $49 and PB = $50. Then the price of good A rises to PA' = $51 (while PB remains $50). Using the arc or midpoint formula, calculate the price elasticity of demand for good A.
ED =
b) Now suppose at first PA = $80 and PB = $38. Then the price of good B rises to PB' = $42 (while PA remains $80). Using the arc or midpoint formula, calculate the cross-price elasticity of demand between good A and good B.
EA,B =
c) Are goods A and B complements? Explain.
midpoint formula for the price elasticity is given as
So,
QA = 4,900 - 60*PA + 10*PB
At, PA = $49 PB = $50 PA' = $51
2. cross-price elasticity3. since the cross elasticity is greater than 0. (0.79>0) hence two goods are not complement.
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