uppose there are three (3) people in a market for bottles of perfume; Mutumbu, Jasanu and Julius The individual demand for perfumes for each of these consumers is given as 10 bottles for Mutumbu, 15 bottles for Jasanu and 25 bottles for Julius at $60 per bottle for perfume. Thus, the market demand for perfumes if the market price is $60 is. (a)40 bottles (b)60 bottles (c)80 bottles (d) None of theb above
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Suppose there are three (3) people in a market for bottles of perfume; Mutumbu, Jasanu and Julius The individual
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- Suppose there are three (3) consumers in a market for bottles of perfume; Mutumbu, Jasanu and Julius The individual demand for perfumes for each of these consumers is given as 10 bottles for Mutumbu, 15 bottles for Jasanu and 25 bottles for Julius at $60 per bottle for perfume. Thus, the market demand for perfumes if the market price is $60 is: (a)40 bottles (b)60 bottles (c)80 bottles (d)None of the aboveBe fast Suppose there are three (3) consumers in a market for bottles of perfume; Mutumbu, Jasanu and Julius The individual demand for perfumes for each of these consumers is given as 10 bottles for Mutumbu, 15 bottles for Jasanu and 25 bottles for Julius at $60 per bottle for perfume. Thus, the market demand for perfumes if the market price is $60 is: (a)40 bottles (b)60 bottles (c)80 bottles (d) None of the above(3) Suppose there are two consumers in the market for a good and their demand functions are as follows: di (p) = 20 – p for any price less than or equal to 20 , and d, (p) = 0 at any price greater than 20. d2(p) = 30 – 2p for any price less than or equal to 15 and dı (p) = 0 at any price greater than 15. Find out the market demand function. (4) Suppose the price elasticity of demand for a good is -0.2. If there is a 5% increase in the price of the good, by what percentage will the demand for the good go down?
- The utility function of a consumer is u = √x + 2y. (a) Show mathematically that the rise of Px will decrease demand for x goods. (b) Demonstrate mathematically that an increase in Px will increase demand for goods y. (c) If currently the price of goods is four times more expensive than the price of goods x and the government wants to set a tax that results in the increase in Px′ = 1.1Px, what are the units of decrease in the number of x items requested?Exercise 1 A consumer's utility function is u(x, y) = x²y³ and the budget constraint is prx +Pyy ≤ w, where the parameters pr, Py and we are all strictly positive. (a) Solve the consumer's utility maximization problem. (b) Use the envelope theorem to estimate the change in the indirect utility function (i.e., the problem's value function) when the price py is changed to py + e, with e > 0.The utility function of a consumer is u = √x + 2y. (a) Look for the demand function of goods x and goods y. (b) Demonstrate mathematically that the demand function of goods x does not depend on income m. (C) Demonstrate mathematically that the demand function of goods y depends on m, Px, and Py.
- PROBLEM (5) Cars (x) is a normal good, and public transportation (y) is a substitute for cars. The demand for cars(x) is given by where Qp = 20 ± px ± py ± pfuture ±I where px is the price of cars, py is the price of public transportation, pfuture is the expected future price of cars and I is the average income level. (a) Decide whether a plus (+) or a minus (-) sign is appropriate for each "+" in the demand equation above. (b) Does the demand become more or less elastic (at a given px) as py increases? (c) Calculate the cross price elasticity of demand (for cars with respect to the price of public transportation py) at the point I = 10, px = 5, py=2, pfuture = 1 (d) If the point in (c) is the market equilibrium point where the supply is known to have constant price elasticity with E = 2 at any point on the curve, derive the supply function.If the utility function (U) between food (F) and clothing (C) can be represented as U = F*C, then which combination of food and clothing will a rational consumer choose? a. (F, C) = (9, 25) O b. (F, C) = (25, 4) O c. (F, C) = (4, 16) d. (F, C) = (4, 25). (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?
- U.S. food markets consumers viewed beef as a normal good from 1960-1976, but viewed it as an inferior good after that point. This type of change is not abnormal, in that as average household incomes rise, preferences might change. For instance, as households move from poor to middle-class, their consumption of beef might increase. However, as households move from middle- class to upper-middle-class, they might choose to purchase more exotic foods products. Assuming you are a beef producer in 1983, what will happen if incomes continue to increase? a. The marginal cost of beef will increase. b. The marginal cost of beef will decrease. c. The demand for beef will increase. d. The demand for beef will decrease.(b) If a consumer spends all of his budget consuming exactly two goods, then is it possible that the law of downward-sloping demand does not hold for one of the goods?A consumer has preferences over two goods, carrots and turnips, each measured in kilograms. For each of the following scenarios, identify which, if any, of the standard assumptions of preferences are violated. (a) The consumer will never eat more than ten kilograms of carrots per day. (b) The consumer cares only about the total weight of the two vegetables consumed, and always prefers more to less. (c) The consumer cares only about the product of the respective weights of the two vegetables consumed, and always prefers a greater product to a lesser one.