8. Suppose both the consumption good and leisure are normal goods any graphs what will happen to the household's choice if there is without (a) an increase in dividend income ;1o IshoM hoino 1-50 TI (b) an increase in wage w. inforior Ronont
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- Edna is living in a retirement home where home where most of her needs are taken care of, but she has some discretionary spending. Based on the basket of goods in Table 22.5, by what percentage does Ednas cost of living increase between time 1 and time 2Would you expect total utility to rise or fall with additional consumption of a good? Why?If people do not have a complete mental picture of total utility for every level of consumption, how can they find their utility-maximizing consumption choice?
- Is it possible for total utility to increase while marginal utility diminishes? Explain.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. 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 expensive meals (M). His utility function is given as: U(V,M) = V^2MLast year, the average price of taking a vacation overseas was US$200 and the average price of an expensive meal is $50. However, due to supply problems in Onions, the average price of an expensive meal rose to $75. The average price of a vacation did not change. His income, which is $1500, did not change. Suppose that the Department of Welfare wants to know how much should be given to Eren to offset his change un utility due to the price increase of an expensive meal. 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.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).10. 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.)
- 5. Rhoda’s preferences for consumption and leisure can be expressed as U(C, L) = (C - 100) × (L - 40). There are 110 (non-sleeping) hours in the week available to split between work and leisure. Rhoda earns 10 GHS per hour after taxes. She also receives 320 GHS worth of support from her parents each week regardless of how much she works.a. What will be Rhoda’s marginal utility of leisure and her marginal utility of consumption?b. What is Rhoda’s marginal rate of substitution when L = 100 and she is on her budget line? c. Find Rhoda’s optimal amount of consumption.5. Rhoda’s preferences for consumption and leisure can be expressed as U(C, L) = (C - 100) × (L - 40). There are 110 (non-sleeping) hours in the week available to split between work and leisure. Rhoda earns 10 GHS per hour after taxes. She also receives 320 GHS worth of support from her parents each week regardless of how much she works.a. What will be Rhoda’s marginal utility of leisure and her marginal utility of consumption?b. What is Rhoda’s marginal rate of substitution when L = 100 and she is on her budget line?c. Find Rhoda’s optimal amount of consumptionI NEED HELP WITH PART B! (a) A consumer has utility u(x,y,z) = ln(x) + 2ln(y) + 3ln(z) over the three goods, x,y and z and pz=1. Optimally she consumes 30 units of z. What is her income? How much money does she spend on x? (HINT: MUx = 1/x, MUy= 2/y, MUz = 3/z and remeber the "equivalent bang for the buck" condition). (b) Forget about (a). Suppose you have t= 29 hours in total to spend on 3 projects X,Y and Z to make some money. If you spend x hours on project X, you make 2 sqrt(x) dollars; If you spend y hours on project Y, you make 3 sqrt(y) dollars; If you spend z hours on project Z, you make 4sqrt(z) dollars; Writing down your "utility function" u(x,y,z) and the constraint, solve the utility maximization problem; what is the optimal amount of time to spend on x? on y? on z?