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- Consumption when young and consumption whenold are both normal goods for Seymour, a workersaving for retirement. When the interest rate falls,what happens to Seymour’s consumption when old?a. It definitely increases.b. It definitely decreases.c. It increases only if the substitution effect exceedsthe income effect.d. It decreases only if the substitution effectexceeds the income effect.Draw the indifference curve for someone decidinghow to allocate time between work and leisure.Suppose the wage increases. Is it possible that theperson’s consumption would fall? Is this plausible?Discuss. (Hint: Think about income and substitutioneffects.)Suppose there are two goods, co ee (C) and tea (T). The consump-tion set is R2+, so both goods can be consumed in arbitrary non-negativequantities.Abdul owns 2000 grams of co ee but does not own any tea. He hasno other wealth. The price of co ee is pC = 2 (in Dhs per gram) andthe price of tea is pT > 0 (in Dhs per gram). Abdul can sell co ee toearn income, which he can then use to buy tea or co ee. He can alsothrow co ee away (at no cost).Abdul's preferences can be represented by the utility functionu(c; t) = -(800 - c)2 - (800 - t)2;where c is the quantity of co ee (in grams) and t is the quantity of tea(in grams).(a) In separate diagrams, illustrate (i) the map of Abdul's indi erencecurves, (ii) Abdul's constraint set.(b) How much co ee and tea does Abdul decide to consume when (i)pT = 2, (ii) pT = 3, and (iii) pT = 4?(c) Illustrate Abdul's demand for co ee as a function of the price of tea (pT > 0) in an appropriate diagram.
- An example of income earned but not received is O a. welfare payments. O b. consumption. Ocundistributed profits. O d. Social Security payments.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. 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).
- The Marginal Rate of substitution depends on the O a. Tastes and preferences of the consumer B Price level of goods income of the consume Oc.income of the consumer O d. Availability of goodsb. Mary has two dinner options available: eating a home cooked meal for $150 permeal, or at a restaurant for $260 per meal. Her weekly budget is $2500.iv. Suppose the price of a home cooked meal increases to $200 and incomeincreases to $4200. Show the impact of the new budget line relative to theoriginal budget line. What would be the new marginal rate of substitutionthat corresponds to the optimal consumption choice? Interpret themarginal rate of substitutionQ2) B. Allocating Income to Maximize utility is essential in microeconomic theory, based on the following figures, where P of A = 3 OMR and P of B = 6 OMR Q TU of A TU of B MU of A MU of B MUA/P MUB/P 1 12 21 2 22 33 3 28 42 4 32 48 5 34 51 6 34 51 The Required: Fill the table above Explain when the Utility maximization holds
- 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.A family of four has an income of $15,000 today and will earn $24,000 tomorrow. i). If the family consumes $11,500 in the first period and $15,000 in the second period, whatis the interest rate? ii). If the family consumes $15,000 in the first period and $13,500 in the second period, whatis the interest rate? iii). Explain the income and substitution effects and discuss which effect dominated after theinterest rate change from part (a.) to part (b.).a) Explain by using an example why an MRS (Marginal Rate of Substitution) between two goods must equal the ratio of the price of the goods for the consumer to achieve maximum satisfaction?
