1.9 Price Elasticity - Practice Problems

The demand for monthly cell phone plans is given by:

\[q_D = 50-0.5p\]

1.

Write the inverse demand function.

2.

Calculate the price elasticity of demand when the price is $10. Is this relatively elastic or inelastic?

3.

Calculate the price elasticity of demand when the price is $70. Is this relatively elastic or inelastic?

4.

At what price is demand unit elastic \((\epsilon=-1)\)?

5.

Calculate the total revenue at $10.

6.

Calculate the total revenue at $70.

7.

Calculate the total revenue at the price you found for question 4.