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Economics for Business Problem Set 2 Due Date: 29nd November, 2005 1. (1)What is the difference between a “change in demand” and a “change in quantity demanded”? Graph your answer. ANSWER: A change in demand refers to a shift in the demand curve. A change in quantity demanded refers to a movement along a fixed demand curve. (2) For each of the following changes, determine whether there will be a movement along the demand curve or a shift in the demand curve. a. a change in the price of a related good b. a change in tastes c. a change in the number of buyers d. a change in price e. a change in expectations f. a change in income Answer: A change in price causes a change in quantity demanded. All of the other changes listed shift the demand curve. 2. Consider the following pairs of goods. Which would you expect to have the more elastic demand? Why? a. water or diamonds b. insulin or nasal decongestant spray c. food in general or breakfast cereal d. gasoline over the course of a week or gasoline over the course of a year e. personal computers or IBM personal computers ANSWER: a. Diamonds are luxuries, and water is a necessity. Therefore, diamonds have the more elastic demand. b. Insulin has no close substitutes, but decongestant spray does. Therefore, nasal decongestant spray has the more elastic demand. c. Breakfast cereal has more substitutes than does food in general. Therefore, breakfast cereal has the more elastic demand. d. The longer the time period, the more elastic demand is. Therefore, gasoline over the course of a year has the more elastic demand. e. There are more substitutes for IBM personal computers than there are for personal computers. Therefore, IBM personal computers have the more elastic demand. 3. You own a small town movie theatre. You currently charge $5 per ticket for everyone who comes to your movies. Your friend who took an economics course in college tells you that there may be a way to increase your total revenue. Given the demand curves shown, answer the following questions. a. b. c. d. What is your current total revenue for both groups? The elasticity of demand is more elastic in which market? Which market has the more inelastic demand? What is the elasticity of demand between the prices of $5 and $2 in the adult market? Is this elastic or inelastic? e. What is the elasticity of demand between $5 and $3 in the children’s market? Is this elastic or inelastic? f. Given the graphs and what your friend knows about economics, he recommends you increase the price of adult tickets to $8 each and lower the price of a child’s ticket to $3. How much could you increase total revenue if you take his advice? ANSWER: a. Total revenue from children’s tickets is $100 and from adult tickets is $250. Total revenue from all sales would be $350. b. the demand for children’s tickets is more elastic. c. The adult ticket market has the more elastic demand. d. The elasticity of demand between $5 and $2 is 0.26 or inelastic. e. The elasticity of demand between $5 and $3 is 1.33 or elastic. f. If price is increased to $8 for adult tickets (maximum for the graph) and price decreased to $3 for child tickets (minimum for graph), total revenue would increase to $440 ($8 40 + $3 40) or $90 more than before. 4. What are normal goods, inferior goods, and Giffen goods? Give an example of each good. Use graph to explain income effect and substitution effects for these goods. Answer: (1) We say a good is normal if the quantity demand rises as incomes rise and fall as income falls. Example: xxx. (2) We say a good is inferior good if the demand falls as incomes rise ( vice versa ). Example: Fat oil, or any other correct example. (3) We say a good is Giffen good if the demand rise as price rises. Potatoes. See Fig. 2.6, 2.7 in page 58 and 59 for reference. 5. A real estate company runs business in two cities, A and B. In city A, research suggests that the price elasticity is -0.8 and in city B -1.5. The company decided to revise house price downwards in both cities by 10% this year. Comment on the decision. What alternative pricing strategy would you suggest? Answer: (1) The decision to cut price by 10% in both cities is not wise. As it did not consider the different response of demand to price cut in two cities. (2) City A’s elasticity is low and city B’s is high. So the company should cut less in city A and cut more in city B. Specifically, the company should cut less than 10% in city A and more than 10% in city B. 6. Assume the demand for diamond is p q 1 / , 0 . Calculate the elasticity. What did you find? What is the meaning of ? q p dq p q Answer: (1) 1 . p 1 q dp q q p (2) This demand exhibits a constant elasticity. (3) measures the elasticity level. Large implies high elasticity. As this is the demand for diamond, we expect to be relatively large.