The direct demand function for a specific model of 'Beautiful Cars' is given by the equation Q = 1000 - 0.5P², where Q is the quantity of cars demanded and P is the price per car. Based on this function, which of the following expressions correctly represents the price elasticity of demand (ε) as a function of price (P)?

Revenue Strategy for a Luxury Car Manufacturer

Calculating and Interpreting Price Elasticity

Given the direct demand function for a specific model of 'Beautiful Cars' is Q = 2000 - 4P, where Q is the quantity demanded and P is the price, the demand is considered elastic at a price of P = $300.

Determining the Point of Unit Elasticity

You are given a direct demand function for a product, Q = f(P), where Q is the quantity demanded and P is the price. Arrange the following steps in the correct logical order to derive the formula for the point price elasticity of demand (ε) expressed solely as a function of price (P).

Match each direct demand function for a luxury good (where Q is quantity and P is price) with its corresponding price elasticity of demand function (ε).

Critique of a Revenue Maximization Strategy

The direct demand function for a brand of luxury handbags is given by Q = A - 3P, where Q is the quantity demanded, P is the price, and A is a positive constant representing the maximum possible demand. If the price elasticity of demand is determined to be unit elastic (ε = 1) when the price is $250, then the value of the constant A must be ____.

Analysis of a Pricing Recommendation