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- Given the consumption function C = a + bY (with a > 0 ; 0 < b < 1): (a) Find its marginal function and its average function. (b) Find the income elasticity of consumption ECY, and determine its sign, assuming Y > 0. (c) Show that this consumption function is inelastic at all positive income levels.Use the following generalized linear demand relation to answer the question: Qd = 100 - 5P + 0.004M - 5PR where P is the price of the good X, M is income and PR is the price of a related good, R. Using the above generalized linear demand relation, if M = 40,000 and PR = 20 and the supply function is Qs = 85 + 10P, what is market price and output? Thank you for helping me :DUse the following general linear demand relation: Qd = 100 − 5P + 0.004M − 5PR where P is the price of good X, M is income, and PR is the price of a related good, R. What is the demand function when M = $50,000 and PR = $10? Qd = 350 − 5P Qd = 300 − 5P Qd = 200 − 5P Qd = 100 − 5P None of the choices is correct.
- The utility function of a certain consumer is U =(x1,x2)= x11/3 x22/3 , x 1and x 2 is the consumption of two kinds of goods, and the consumer's income is 100. The current prices of the two kinds of goods are P 1 =1 and P 2=2 respectively, ask: 1. If the price of the first commodity increases from 1 to 2, and other factors remain unchanged, what is the total effect of the price increase on the consumption of the first commodity? According to the Slutsky decomposition principle, what are the income effect and substitution effect? 2. Calculate the amount of income compensation that changes the price of the first commodity from 1 to 2, keeping the original effect unchangedAssume the demand function for good X can be written as: QX = 30 - 3PX + 2PY + 0.2I Where PX is the price of good X PY is the price of good Y I is the consumer income. a) Based on the demand curve above, is X a normal or inferior good? b) Based on the demand curve above, what is the relationship between good X and good Y? c) What is the equation of the demand curve if consumer incomes are $40,000 (use $40, income in thousands) and the price of good Y is $35?Given the consumption function C = a + bY (with a>0, 0 < b<1): a. find its marginal function and its average function. b. find the income elsaticity of consumption ECY, and determine its sign, assuming Y > 0. c. Show the income that this consumption function is inelastic at all positive income levels
- According to studies undertaken by the U.S. department of agriculture, the price elasticity of demand for cigarettes is about +0.5. Suppose a major brokerage firm advised its clients to buy cigarette stock under the assumption that, if consumer income rise by 50 percent as expected over the next decade, cigarette sales would double. Based on the fundamental economic principles on income elasticity of demand, a reasonable reaction to this investment advice would be?Consider the following linear demand function where QD = quantity demanded, P = selling price, and Y = disposable income: QD = -36 - 2.1P + .24Y. The coefficient of Y (i.e., .24) indicates that (all other things being held constant): * for a one percent increase in disposable income, quantity demanded would increase by 0.24 percent for a one unit increase in disposable income, quantity demanded would increase by 2.1 units for a one percent increase in disposable income, quantity demanded would decline by 2.1 percent for a one percent increase in disposable income, quantity demanded would decline by 0.24 percentA4Gary's demand function for good X is xG = 0.5 M/p where p is the price of the good and M denotes Gary's income. What is the slope of the Gary's compensated demand curve, assuming p= 7 and M = 209 dollars
- Suppose U = 2X + Y, I = 20, Px = 2, and Py = 2. (a) Find Marshallian demand for X and Y . (b) What is Marshallian demand for X and Y if the price of X increases to 5? How much of the change in demand for X is the income effect and how much is the substitution effect? (c) How much is compensating variation for the price change described in part (b)? (d) How much is equivalent variation for the price change described in part (b)? ( Please solve all the subparts ASAP I will give you thumbs up . )Sara’s demand function for good x is x(px,py,m) = m , where px is the 2px price of good x, py is the price of good y, and m is the income level. Is x a normal good at px = 1 and m = 24? Explore this by taking derivative of demand function with respect to m. Is x an ordinary good at px = 1 and m = 24? Explore this by taking derivative of demand function with respect to px.use the demand function below to answer the questions that follows Qdx = 3/4 - 1/3Px - 5Py + 2Pz - 2/10M given that Py = 2; Pz = 10 and M is 5: e. find the demand function f. plot the demand function g. using the information in (e), calculate the quantity if Px = 3