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- A5 Draw a budget line for 2 goods with prices of $1 and $2 for the first and second good, respectively, and income of $8. a. Find some prices and income that will lead to a new budget line that intersects the old budget line ONLY at the midpoint of the old budget line. b. Can the old and new budget line have the same slope? c. Can the old and new budget line have the same prices? d. Can the old and new budget line have the same income and only one different price?23. Suppose that there are two goods in an economy and that all prices double. At the sametime, the consumer’s income triples, then:(a) The budget line becomes steeper(b) The budget line becomes flatter(c) The budget line does not change(d) The slope of the budget line does not change, but it makes a parallel shift in towardsthe origin(e) The slope of the budget line does not change, but it makes a parallel shift out fromthe origin7. Suppose that you can earn $16 per hour before taxes and can work up to 80 hours per week. Consider two income tax rates, 10% and 20%. a. On the same diagram, draw the two weekly consumption-leisure budget constraints reflecting the two different tax rates. b. Draw a set of representative indifference curves such that the income effect of the tax increase outweighs the substitution effect. c. Draw a set of representative indifference curves such that the substitution effect of the tax increase outweighs the income effect.
- 2. James is an undergraduate student who has £800 of income to spend each semester on pizza and books. The price of a pizza is £8 and the price of a book is £40. (a)ln a diagram with pizza on the vertical axis and books on the horizontal axis, draw James's budget constraint. (b)Now suppose James's parents buy him a £400 gift voucher each semester that can only be used to buy books. In the same diagram for part (a), draw James's budget constraint when he has the gift voucher in addition to his £800 income. (c)ls James better-off with the gift voucher? Explain your answer.5. Assume that beer is a normal good. If the price of beer rises, then the substitution effect results in the person buying of the good and the income effect results in the person buying of the good. A. more, more B. more, less C. less, more D. less, less 6. Which of the following is true regarding income along a price-consumption curve? A. Income is increasing. B. Income is decreasing. C. Income is constant. D. The level of income depends on the level of utility. 7. Joe's coffee house produces coffee drinks under the production function q = 5KL where q is the number of cups generated per hour, K is the number of coffee machines (capital), and L is the number of employees hired per hour (labor). What is the average product of labor(APL)? A. APL = 5 B. APL = 5K C. APL = 5L D. APL = 5K/L 8. Suppose a hotel exhibits constant returns to scale as it increases its output. If it increases all its inputs by 10%, its: A. total cost will increase by less than 10% B. average total cost will…. Suppose that initially, bread is $2 per loaf,and cake is $2 per slice. Marie Antoinettehas $18 to spend on these items each week.At this income and those prices, Marie consumes 5 loaves of bread and 4 slices of cake.Then, the price of bread DECREASES to$1 per loaf. (The price of cake is still $2.)IF Marie’s budget had also fallen to $13so that she could still just afford her original bundle, she WOULD choose to spendthose $13 on 7 loaves of bread and 3 slicesof cake.But since Marie still has her original $18budget, she actually chooses to buy 4loaves of bread and 7 slices of cake afterthe price change.When the price of bread fell from $2 to $1,what was the substitution effect on Marie’sdemand for bread?
- 10. For this problem, assume that Joe has $80 to spend on books and movies each month and that both goods must be purchased whole (no fractional units). Movies cost $8 each, and books cost $20 each. Joe's preferences for movies and books are summa- rized by the following information: MOVIES ВОOKS NO. PER NO. PER ΜΟΝΤΉ TU MU MU/$_MONTH TU MU MU/$ 1 50 1 22 80 42 3 100 3 52 4 110 4 57 116 5 60 121 62 7 123 7 63 a. Fill in the figures for marginal utility and marginal utility per dollar for both movies and books. b. Are these preferences consistent with the law of diminishing marginal utility? Explain briefly. c. Given the budget of $80, what quantity of books and what quantity of movies will maximize Joe's level of satisfaction? Explain briefly.Q19 Suppose a consumer can purchase only two goods: pasta and rice. Let the quantity of pasta be measured on the vertical axis and the quantity of rice be measured on the horizontal axis. If the price of pasta falls, with no change in the price of rice or in the consumer's money income, then the budget line for the consumer will rotate... a. Outward parallel to the existing budget line. b. Toward the origin and become flatter. c. Away from the origin and become steeper. d. Away from the origin and become flatter. e. Toward the origin and become steeper.Suppose Gregg consumer chocolate candy bars and oranges. He is given four candy bars and three oranges. He can buy or sell a candy bar for $2 each. Similarly, he can buy or sell an oranges for $1. If he has no source of income, draw the budget contraint and write the equation. What is the most he can spend, Y pon these goods?
- 32/ Assume that a consumer has a given budget or income of $24 and that she can buy only two goods, apples or bananas. The price of an apple is $3.00 and the price of a banana is $2.00. What is the slope of the budget line if the quantity of apples were measured on the horizontal axis and bananas on the vertical axis?4. Sompa consumes two goods (x and y) with a total income of GHS 20 and the price of the two goods are GHS 4.00 and GHS 5.00 for commodity X and Y respectively.a. Write down the equation of the budget lineb. What is the slope of the budget line?c. How does the budget line change if the consumer income increases to GHS 40 but prices remain unchanged?d. What happens to the budget line if the price of good y decreases to 3 whiles the price of good x and income remain unchanged?e. What happens to the budget line if price of good x increases to 7 whiles the price of good x and income remain unchanged?f. How much of good x can Sompa consume if she spends her entire income on that good?g. How much of good y can Sompa consume if she spends her entire income on that good?5. With the aid of a diagram analyse the income, substitution and total effect of a price change on the following type of goods. a. Normal goods b. Inferior goods c. Giffen goodsSuppose a consumer has a monthly income of m = 100 which she spendson two commodities: french fries (x1) and beef jerky (x2). The price offrench fries is p1 = 2 and the price of beef jerky is p2 = 5. (e) What is the slope of the budget line? Provide an economicinterpretation of this number.(f) Because of Mad Cow Disease, the price of beef jerky increasesto $10 (lower supply of beef). On a new graph, plot the originaland new budget constraint clearly identifying how the budgetconstraint has changed. What is the new relative price of beefjerky in terms of french fries?(g) Because of severe shortages, Congress passes the Jerky ReliefAct which limits each consumer to purchase at most 5 packs ofjerky. Show on a graph how this affects the consumer’s budgetset. Answer all three.
