# Calculate the price elasticity of demand.

Demand for DVD rentals at a video store is described by the equation: Q = 4,000 - 500P, where Q denotes the number of DVDs rented per week and P is the rental price in dollars.

a) Determine the point price elasticity of demand at P = $3.00.

b) What is the new point price elasticity if price is raised to P = $4.50?

c) Comment on the change in elasticity.

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#### Solution Preview

a) Determine the point price elasticity of demand at P = $3.00.

Q=4000-500*P

Given, P=$3.00

Q =4000-500*3=2500

Q=4000-500P

Differentiating with respect to P, we get

dQ/dP=-500

Price elasticity ...

#### Solution Summary

The solution describes the steps to calculate price elasticity of demand at given price levels. It also analyzes the results obtained. The change in elasticity is commented on.

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