Respuesta :
Answer:
1.) As the price of tuition rises from $20000 to $30000, the price elasticity of demand for tuition for out-of-state applicants is more elastic than for in-state applicants.
2) in-state = 0.5; out-of -state = 1
Explanation:
Given the following :
Tuition Quantity demanded (in-state applicants) Quantity demanded (out-of-state applicants) $10,000 6,000 12,000 $15,000 5,000 9,000 $20,000 4,000 6,000 $30,000 3,000 3,000
Elasticity of demand = (percentage change in quantity demanded / percentage change in price)
% change in quantity demanded :
(Quantity change / Initial quantity) × 100%
[(Q2 - Q1) / Q1] × 100%
%change in price :
[(P2 - P1) / P1] × 100%
As tuition rises from $20000 to $30000
In state applicants :
%change in price :
[(P2 - P1) / P1] × 100%
[ (30000 - 20000) / 20000) × 100%
((10000)/ 20000) × 100%
= 50%
% change in quantity demanded :
(Quantity change / Initial quantity) × 100%
[(Q2 - Q1) / Q1] × 100%
Decrease in quantity demanded
[(3000 - 4000) / 4000] × 100%
(-1000/4000) × 100% = 25%
Elasticity of demand = 25% / 50% = 0.5
Out - Of - State applicants :
% change in price from $20,000 to $50,000 = 50%
% change in quantity demanded :
Demand decrease from 6000 to 3000
[(3000 - 6000) / 6000) × 100%
(3000 / 6000) × 100%
(1/2) × 100% = 50%
Elasticity of demand = 50% / 50% = 1