Question 3. (20 marks) The demand for electric cars is given by D(p) = 400p-1.5. (a) Find the elasticity of demand in the "usual way" (b) Find the elasticity of demand using logarithmic differentiation. (c) Evaluate this elasticity at p= 1. (d) Suppose a monopolist faces a revenue curve given by R(P) = px D(p). Find the elasticity of revenue.

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Lelia LubowitzLv2

29 May 2018

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Related questions

Suppose that Demand is D = 10-2P, where P is the price.

(a) Evaluate the elasticity of demand at P = 2.

(b) Evaluate the elasticity of Demand at P = 3.

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1. Clothing retailers often use sales, where some or all products are sold at a discount price, to increase revenue. What does this suggest about the price elasticity of demand for retail clothing?

A) It is elastic.

B) It is inelastic.

C) It is unit elastic.

D) This tells us nothing about elasticity.

2. If demand is inelastic, then increasing price will do what to revenue?

A) It is impossible to say.

B) Decrease

C) Increase

D) Nothing will happen to revenue.

3. If P increases from 200 to 202 and Qd decreases from 50 to 49, what is the price elasticity of demand? ___

4. If elasticity (i.e. price elasticity of demand) is -3, a 1.5% increase in price would lead to what change in quantity demanded?

A) a decrease of 3%

B) a decrease of 4.5%

C) an increase of 1.5%

D) an increase of 3%

5. If you know that the demand curve is given by: Q = 20-2P What is the price elasticity of demand if P = 4?

A) -0.666

B) -0.33

C) -1.33

D) -1.66

5. The demand curve for a product is given by Qdx = 1,000 - 2Px + .02Pz where Pz = $400. (Hint: If you're not comfortable with the calculus alternatives, compute Q at the given prices, then again with a 1% increase in price. Then figure percentage change in Q over the percentage change in P, %Q/%P).

a. What is the own-price elasticity of demand when Px = $154? Is the demand elastic or inelastic? What would happen to the firm's revenue if it decided to charge a price below $154?

b. What is the own-price elasticity of demand when Px = $354? Is the demand elastic or inelastic? What would happen to the firm's revenue if it decided to charge a price below $354?

c. What is the cross-price elasticity of demand between good X and good Z when Px = $154? Are good X and good Z substitutes are complements?