(7 points) Suppose Backbeat BBQ, Dave Grohl's one-man catering company, offers two types of membership plans. Plan A has an entry fee of $20 with a price of $2 per unit. Plan B has an entry fee of $40 with a price of $1 per unit for using the service. Let x be expenditure on all other goods and y be the units of consumption of Backbeat BBQ's services, and suppose you have an income of $100. A. Write down the budget equation that you would have after you paid the entry fee for each of the two plans. B. If your utility function is xy, how much y would you choose in each case? C. Which plan would you prefer? Explain.
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- 4.An individual consumes products X and Y and spends $30 per time period. The prices of the two goods are $3 per unit for X and $3 per unit for Y. The consumer in this case has a utility function expressed as: U(X.Y) = 0.5XY How much X should this individual consume, given that he is maximizing the utility? ( A) 4.17 ( B) 5 (C)6 D) 6.25(Figure: Optimal Selection of Cola (c) and Sushi Rolls (r)) Use Figure: Optimal Selection of Cola (c) and Sushi Rolls (r). If the consumer is at point C, what should the consumer do to maximize utility? Marginal utility per dollar (utils/$) 10 6 5 st 4 w 2 1 1. O 10 8 B 3 2 Quantity of sushi rolls 6 Quantity of cola (bottles) Consuming fewer rolls and more cola. Consume fewer rolls and more cola. Nothing, since utility is already maximized. Consume more rolls and less cola. 2 MUC/PC MU+/Pt 5Question 10 Which of the following startements about network externalities is CORRECT? Air pollution is an example of a network externality. For a good with network externalities, the number of people who are willing to buy a unit of the good is uniquely determined by the price. Network externalities are always positive. The manufacturer of a new good with network externalities might give away a free version of the good. For a good with network externalities, one person's valuation of the good is always increasing in the number of other people using the good.
- Suppose your total benefits of renting x DVD's next month is: -²2² +14x+50 The cost of renting a DVD is $2, and so the total cost of renting x DVD's is $2x. Calculate your net benefit from watching 1, 2...8 DVDs. Complete column (2). (Enter your responses as integers.) (1) DVDs Rented 0 1 N345678 2 (2) Total Net Benefit. (b) Suppose there are two Bohemian roommates with identical preferences who derive utility from the number of paintings hung on their hotel's walls (X) and the number of granola bars (Y) that they eat. The specific utility function underlying their preferences is given by: U₁ (X,Y)= X1¹³ Y₁23 (for i=1.2) mes Given that each roommate has $300 to spend and P=$100, Py = $ 0.20, explore the consequences of various expenditure allocations. In particular provide a detailed analysis of the possibility leading to free ridership Will that solution be efficient? If so or if not, why? Calculate the efficient allocation. What arrangement for cost sharing would be Pareto superior?QUESTION 12 The relationship between the marginal utility that George gets from eating a bag of cookies and the number of bags he eats per month is as follows: Bags of Cookies Marginal Utility 1 2 3 4 5 6 20 16 12 8 4 0 George receives 2 units of utility from the last dollar spent on each of the other goods he consumes. If cookies cost $4 per bag, how many bags of cookies will he consume per month if he maximizes utility?
- 12 You have two people who bought think two goods are perfect complements and should be consumed in one-to-one proportions, draw an edgeworth box for the two people31- : If the total utility increases from 32 to 34 when the consumption of good X increases by one unit, what is the marginal utility? a) 5 B) 6 NS) 2nd D) 4 TO) 310. Utility is a type of function that occurs in economics. When a consumer receives x unils of a certain product, a certain amount of pleasure, or utility U, is derived The graph represents a typical utility function. a) Find the average rate of change of U as x changes from 0 to 1 , from 1 to 2 , from 2 to 3 , from 3 to 4 b) Why do the average rates of change decrease as x increases? a) The average rate of change of U as x changes from 0 to 1 is (Type an integer or a decimal.)
- Would you expect marginal utility to rise or fall with additional consumption of a good? Why?12)Suppose a consumer has $100 to spend on two goods, shoes and shirts. If the price of a pair of shoes is $20 per pair and the price of a shirt is $15 each, which of the following combinations is unaffordable to the consumer? A) 0 pairs of shoes and 0 shirts B) 2 pairs of shoes and 4 shirts C) 5 pairs of shoes and 0 shirts D) 0 pairs of shoes and 7 shirts E) 2 pairs of shoes and 3 shirts4. The following data pertain to products A and B, both of which are purchased by Jay. Initially, the prices of the products and quantities consumed are: PA = $10; QA = 3; PB = $10; QB = 7 Jay has $100 to spend. After a reduction in price of B, the prices and quantities consumed are: PA = $10; QA = 2:5; PB = $5; QB = 15 Assume that Jay maximizes utility under both price conditions above. Also, note that if after the price reduction enough income were taken away from Jay to put him back on the original indifference curve, he would consume this combination of A and B: QA 1:5; QB = 9 Determine the change in consumption of good B due to the (1) the substitution effect and (2) the income effect using Hicks decomposition.