In: Economics
You own goods A and B. You are considering increasing price of good A by 10%. Here is the information you have
Pa = 20
Qa = 1000
For each $1 increase in Pa, Qa will decrease by 100.
Pb = 12
Qb = 750
For each $1 increase in Pa, Qb will increase by 100.
(The point of this exercise is to have you do everything the long way then use the delta r formula so you can see the difference)
a . What is Total revenue of A before the price change?
b. What is total revenue of A after the price change?
c . What is Total revenue of B before the price change?
d. What is total revenue of B after the price change?
e. What is the change of revenue for A after the price changes?
f. What is the change or revenue for B after the price changes?
g. What is change in total revenue for both goods after price changes?
h. What is the own price elasticity for good A?
i. What is the cross price elasticity of A and B?
j. Calculate the change of revenue using the formula ∆ r =[ Rx (1 + EQx,Px) + Ry(EQy,Px)]%∆Px.
k. Explain why the two methods have different answers.
l. To calculate the change in total revenue from the price change, which method do you prefer? Doing parts a-g or doing part h-j? Briefly explain.
Only h-l