a) Choose X, and X2 to max the utility fxn, U(X,„X)=ah.X;+(l-a)hX, st: M = P, X , + P,X , a) Consider a price decrease for good 1 from P toP . Write down the Demand functions for good 1 when prices are P, and when prices drop from RtoP b) What is the compensating income,M° associated with the price change? C) Obtain the SE and IE associated with the price change
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- If the supply and demand functions for a commodity are 100 + 2(4+ Pa = - (Q.) P₁ = (Q + 2)² E plot each function on the same graph Estimate the quarum price and quarty aigebraicaty and graphicaly w▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪ ‒‒‒‒‒‒‒‒‒‒‒‒wwwwwwwww10:55 Sun 8 Aug 30% Screenshot_20210808-073803_Office.jpg a) Choose X, and X, to max the utility fxn, UX,X)=chX;+(l-a)hX, st: M = P, X, + P¿X ; a) Consider a price decrease for good 1 from P toP" . Write down the Demand functions for good 1 when prices are P, and when prices drop from R toP" b) Obtain the SE and IE associated with the price change19:32 Fri 6 Aug 91% Screenshot_20210806-193021_Office.jpg a) Choose X, and X, to max the utility fxn, UX,„X,)=chX;+(l-a}hX; st: M - P, X + P,X ; a) Write down the demand functions for goods 1 and 2 b) Consider a price decrease for good 1 from P, toP" . Write down the demand functions for good 1 when prices are P, and when prices drop from R toP c) What is the compensating income, M associated with the price change? Obtain the SE and IE associated with the price change 24
- Ayana is pitching an idea for a startup company that makes and sells solar-powered phonechargers (C). Her market research has found that consumer demand for this product can beexpressed as a function of the price of the charger itself (PC), the price of phones (PF), andthe consmer’s income (I). Consumer demand can be described by the function C(PC, PF, I) =(i−10PC)/ (PF) Suppose her chargers come in all different capacities to meet any quantity demanded, so youdon’t need to worry about restricting C to whole numbers for this problem. (a) Does this product satisfy the law of demand?Explain.Ayana is pitching an idea for a startup company that makes and sells solar-powered phonechargers (C). Her market research has found that consumer demand for this product can beexpressed as a function of the price of the charger itself (PC), the price of phones (PF), andthe consmer’s income (I). Consumer demand can be described by the function C(PC, PF, I) =(i−10PC)/ (PF) Suppose her chargers come in all different capacities to meet any quantity demanded, so youdon’t need to worry about restricting C to whole numbers for this problem. (a) Does this product satisfy the law of demand?Explain. (b) Calculate consumers’ income elasticity as a function of the parameters. (c) Anaya is targeting a market whose income is expected to double over the next five years.Explain whether she should expect the demand for chargers to increase or decrease, andby how much, using the language of normal, inferior, luxury, and necessity goods. (d) Calculate the cross-price elasticity ofCwith respect toPF. (e)…Number of Sodas per day Total Utility Marginal Utilit 1 20 35 3 47 12 4 10 Refer to the table, The marginal utility of the second soda per day is L. (Answer should be in the form of numerical characters, e.g. 20) Enter your answer here
- KAMVA 489 Time Remaining: 02:54:13 Hide Time Remaining A Suppose the weighted marginal utility for two goods, x and y, at a position of consumer equilibrium is 70. If the price of good x is R10 and the relevant marginal utility for y is 140, what is the price of good y and the relevant marginal utility for good x? A. The price of y = R70; the marginal utility for x = 70 %3D B. The price of y = R2; the marginal utility for x = 700 C. The price of y = R10; the marginal utility for x = 700 D. The price of y = R2; the marginal utility for x = 140 E. The price of y = R140; the marginal utility for x = 70 Reset Selection |54 IIWhich of the following functions is a quasi-linear utility function? Select one: O a. min(291,392) O b. 291 +392 ,0.5 ○c. (q95 +99.5)² d. 95 +92 e. 291 - 392 f. max(2q1,392) 9. 9.2 99.8Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Suppose that the Department of Welfare wants to know how much should begiven to Eren to offset his change un utility due to the price increase of an expensivemeal. Calculate the compensative variation (CV).
- Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate for the equivalent variation (EV) for the price change.7. Find the utility for the following time-discounted situations ( U = 100 + E,(100- 50)0.95' a.Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Calculate the change in consumer surplus from consuming the expensivemeals considering the price change (Hint: you need to compare his optimalconsumption bundle before and after the price change to get the change in CS).