A college has two types fo students: students from middle-income families who have an estimated price elasticity of demand equal to -1 1/2 and students from lower-income families who have an estimated price elasticity of demand equal to -2 1/2. 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?

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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 1/2 and students from lower-income families who have an estimated price elasticity of demand equal to -2 1/2. 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 = -11/2

Price elasticity of demand for lower-income families = -21/2

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, $5,490 as annual tuition (price) should the college establish for students from middle-income families.

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