Homework 4 1. [Parkin] Questions 9-13, Chapter 8, page 236 Use the data in Problem 3 to work Problems 9 to 13. 9. If the price of renting windsurfing equipment is cut to $5 an hour. How many hours does Max spend windsurfing and how many hours does he spend snorkeling? Hours per day 1 2 3 4 5 6 7 Total Total utility utility from from windsurfing snorkeling 120 40 220 76 300 106 360 128 396 140 412 150 422 158 10. Draw Max’s demand curve for rented windsurfing equipment. Over the price range from $5 to $10 an hour, is Max’s demand for windsurfing equipment elastic or inelastic? 11. How does Max’s demand for snorkeling equipment change when the price of windsurfing equipment falls. What is Max’s cross elasticity of demand for snorkeling with respect to the price of windsurfing? Are windsurfing and snorkeling substitutes or complements for Max? 12. If Max’s income increases from $35 to $55 a day, how does his demand for rented windsurfing equipment change? Is windsurfing a normal good or an inferior good for Max? Explain. 13. If Max’s income increases from $35 to $55 a day, how does his demand for rented snorkeling equipment change? Is snorkeling a normal good or an inferior good for Max? Explain. 2. [Parkin] Questions 25-29, Chapter 9, page 258 Use the following information to work Problems 25 and 26 Najib has made his best affordable choice of sparkling water and jelly beans. He spends all of his income on 5 bottles of sparkling water at $2 each and 10 jelly beans bags at $4 each. Now the price of sparkling water rises to $2.50 a bottle and the price of jelly beans falls to $3.75 a cup. 25. a. Will Najib now be able and want to buy 5 bottles of sparkling water and 10 jelly beans bags? b. Which situation does Najib prefer: sparkling water at $2 a bottle and jelly beans at $4 a bag or sparkling water at $2.50 and jelly beans at $3.75 a bag? 26. a. If Najib changes the quantities that he buys, will he buy more or fewer sparkling water and more or less jelly beans? b. When the prices change, will there be an income effect, a substitution effect, or both at work? Use the following information to work Problems 38 to 40. Sara’s income is $12 a week. The price of popcorn is $3 a bag, and the price of cola is $1.50 a can. Figure 9.14 shows Sara’s preference map for popcorn and cola. 27. What quantities of popcorn and cola does Sara buy? What is Sara’s marginal rate of substitution at the point at which she consumes? 28. Suppose that the price of cola rises to $3.00 a can and the price of popcorn and Sara’s income remain the same. What quantities of cola and popcorn does Sara now buy? What are two points on Sara’s demand curve for cola? Draw Sara’s demand curve. 29. Suppose that the price of cola rises to $3.00 a can and the price of popcorn and Sara’s income remain the same. a. What is the substitution effect of this price change and what is the income effect of the price change? b. Is cola a normal good or an inferior good?