A college has two types fo students: students from middle-income families who have an estimated price elasticity of demand equal to -1.5 and students from lower-income families who have an estimated price elasticity of demand equal to -2.5. The colleges marginal cost for providing one-year's academic credit is $4,500 regardless of which student is receiving the education. a. What annual tuition (price) should the college establish for students from middle-income families?b. What annual tuition(price) should the college establish for students from lower-income families?

Economics (MindTap Course List)
13th Edition
ISBN:9781337617383
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter5: Supply, Demand, And Price: Applications
Section5.4: Application 4: Why Do Colleges Use Gdps, Acts, And Sats, For Purpose Of Admission
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A college has two types fo students: students from middle-income families who have an estimated price elasticity of demand equal to -1.5 and students from lower-income families who have an estimated price elasticity of demand equal to -2.5. The colleges marginal cost for providing one-year's academic credit is $4,500 regardless of which student is receiving the education.
a. What annual tuition (price) should the college establish for students from middle-income families?
b. What annual tuition(price) should the college establish for students from lower-income families?

Expert Solution
Step 1

Given,

Price elasticity of demand for middle-income families = -1.5

Price elasticity of demand for lower-income families = -2.5

Marginal cost MC = $4,500

The price elasticity of demand is the responsiveness of quantity change due to a change in price.

As per the pricing rule:        

Economics homework question answer, step 1, image 1      

Here, e is the elasticity, and p is the price that maximizes the profit.

a)

For middle-income families:

Marginal cost MC = $4,500

By putting the respective values, the result is:

Economics homework question answer, step 1, image 2

Thus, $13,500 as annual tuition (price) should the college establish for students from middle-income families.

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