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A consumer is faced with the following utility function, U(x1 x2)=(xp1 1+xp2)1/p, where 0<p<1. The consumer also faces the prices p1 and p2 and has income level m.
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- Consider the following intertemporal consumption problem with one good and two periods. The quantity of the good consumed in period 1 and period 2 are q1 and q2. The price of each unit of the good is $1 in both periods. The consumer’s income is I1=10 in the first period and I2=12 in the second period. The consumer can borrow or save money at the interest rate of 50%, that is, r=0.50. The consumer’s utility function is u(q1,q2)= q1q2. The optimal choice of q1 is a. 9 b. 10 c. 11 And the consumer will: d. borrow 1 e. save 1 f. borrow 2 g, save 0The reason the substitution effect works to encourage a consumer to buy less of a product when its price increases is: a. the product is now relatively more expensive than it was before. b. other products are now relatively more expensive than they were before. c. the real income of the consumer has been increased. d. the real income of the consumer has been decreasedq22-Ginger's utility function is U(x,y)=2x^2y. She has income I=2000 and faces prices Px=$20 and Py=$10. Use the Lagrange Multiplier to determine Ginger's optimal basket given these prices and her income.
- The one-period model with quasi-linear utility predicts that a decrease in marginal income tax rates could increase tax collection if:Group of answer choices Substitution effects dominate income effects so that the percent change in taxes is greater than the percent change in GDP Substitution effects dominate income effects so that the percent change in taxes is less than the percent change in GDP Income effect dominate substitution effects so that the percent change in taxes is less than the percent change in GDP Income effects dominate substitution effects so that the percent change in taxes is greater than the percent change in GDPDerive the expenditure function for the consumer and the hickson demand functionA consumer spends all her income on the two goods A and B. The quantity of good A bought is determined by the demand function QA = f(PA, PB,M) where PA and PB are the prices of the two goods and M is real income. A change in the price of A will also affect real income M via the function M = g(PA, PB, £M) where £M is money income. Derive an expression for the total effect of a change in PA on QA.
- If preferences for pizza increase and the price of labor to produce pizza decreases, the equilibrium quantity of pizza will ____ and the equilibrium price of pizza will _____ . increase, increase decrease, be indeerminate increase, be indeterminate increase, decrease Assume an intertemporal budget constraint that shows how consumption can be traded off between two periods, t and t+1. Assume the consumer can save and borrow at the same interest rate of 10%. Assume the consumer collects income of $100 in each period. To gain an extra $10 dollars in period t+1, what must the consumer give up in period t? $11 $9.10 $1 $10 A convex indifference curve implies what type of behavior? diminishing marginal utility complementary goods perfect substitutes inferior goodsFor each of the following utility functions, find the Marshallian demand function, the indirect utility function and the expenditure function. Assume that prices of x and x2 are p₁ and p₂ respectively and income is m. i) U(x1x2) = ln(x1+ x2) ii) U(x1x2) = (x1+ x2)Suppose the utility function for goods x and y is given Utility = U(x,y) = xy +y Suppose price of both x and y is $1. You have total $10 to spend. Suppose price of x changed to $0.5. Price of y and your disposable income remain the same: a. calculates the change in the amount of good x, that is caused by the substitution effect (the effect on consumption due to a change in price holding real income or utility constant). b. calculate the change in the amount of good x, that is caused by the income effect (the effect on consumption due to a change in real income caused by a change in price).
- Q75 An equal and proportional increase in money income and all money prices will... a. Shift the budget line to the right parallel to the original budget line. b. Leave the position of the budget line unchanged. c. Shift the budget line to the left parallel to the original budget line. d. Rotate the budget line inward from the vertical axis. e. Rotate the budget line inward from the horizontal axis.Explain the difference between the policy preferences function and the indirect utility function.What is meant by “excess sensitivity” of consumption? Is this view of consumption consistent with the permanent-income hypothesis? Explain. How does the stock market affect consumption according to the permanent-income hypothesis? Is this prediction in line with the empirical evidence? Explain.