A consumer lives periods 1 (C(t=1)) and 2 (C(t=2)). Her lifetime utility function is C(t)l-0 u(C(t)) = 0 > 0, 1– 0 ' The elasticity of substituion between consumption in period 1 and consumption in period 2 is?
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- An analyst for a major apparel company estimates that the demand for its raincoats is given by ln Qdx = 10 − 1.2 ln Px + 3 ln R − 2 ln Ay where R denotes the daily amount of rainfall and Ay represents the level of advertising on good Y. What would be the impact on demand of a 10 percent increase in the daily amount of rainfall? What would be the impact of a 10 percent reduction in the amount of advertising directed toward good Y? Can you think of a good that might be good Y in this example?Utility functions of a consumer: U = 20x10.4x20.4 Specify:a. marginal utility of each item.b. If the consumption of x1seee is 80 and x2 as much as 60 units, the price of Px120 and Px2 25, Determine if there is a balance of consumption?Q1) Sales are a function of advertising in newspapers and magazines (X, Y). 05 S = XY2 Price of advertising in newspapers and magazines are Rs.5 and Rs.10 respectively. The total budget for advertising is Rs.105. For maximizing the sales, find out the best combination of advertisement in newspapers and magazines by using lagrangian multiplier. (Hint: Make equation of budget line with the help of above information).
- 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?Demand for Orange Juice is given as Qd = 200 – 300 P + 120 I + 65 T – 250 Pc + 400 Ps Suppose Income is I = $10, Expectations T = 60, Price of Pc = $15 and Ps = $10. Find the Demand Equation. Using the demand function from part a., Calculate Elasticity of Demand for price range of $10 and $11. What will be the ‘Price Elasticity of Demand’ at P = $10? Interpret the Elasticity of Demand calculated in (C) above.Demand for Orange Juice is given as Qd = 5000 – 2500 P + 1200 I + 650E – 255 Ps Suppose Income is I = Rs.500, Expectations E = 55, and Price of Ps = Rs 25. Find the Demand Equation. Using the demand function from part a., Calculate Elasticity of Demand for price range of Rs.125 and Rs.155. What will be the ‘Price Elasticity of Demand’ at P = Rs.125? Interpret the Elasticity of Demand calculated in (C) above.
- An agent lives for 2 periods and gains utility only by consuming. Future consumption is discounted at rate θ where 0<θ<1. Agent consumes c, saves s at interest rate r in first period of life from income y. In second period agent consumes from savings plus interest earned but must pay a flat fixed tax. Find the Euler equation for this agent and what it shows.Suppose household annual demand for gasoline follows the equation QD = 2000 – 500P + 25I where P is the price of a gallon of gasoline and I is household income in 1000s of dollars. Suppose that P = 3 and I = 60. What quantity of gasoline will households demand at this price and income level?Suppose household annual demand for gasoline follows the equation QD = 2000 – 500P + 25I where P is the price of a gallon of gasoline and I is household income in 1000s of dollars. Suppose that P = 3 and I = 60. What quantity of gasoline will households demand at this price and income level? __________ What is the income elasticity of demand for gasoline at this price, income, and quantity level? __________ What happens to the income elasticity of gasoline demand if I rises from 60 to 100? It _____________ (rises/falls) to ______________. Does this change in elasticity make gasoline buying more or less sensitive to income changes? __________