Assignment 5 • Given the Utility Function: • U = u(q1, 42), where u(q1 , 92) = aq a? „Y • (a) Derive the Marshallian Demand Equations. • (b) Derive the equation of Income - Consumption (I- C) curve.
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- What are the determinants for an individual demand? Derive with the help of indifferencecurves and the budget constraint the optimal consumption plan. How do you transfer theoptimal consumption plan into an individual demand function? (use graphs)The 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 decreasedWhat are the determinants for an individual demand? Derive with the help of indifferencecurves and the budget constraint the optimal consumption plan. How do you transfer theoptimal consumption plan into an individual demand function?
- 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).Q83 Suppose Jillian spends $250 on books per year when her income is zero. As her income rises, she spends 8 percent of each additional dollar of income on books. The correct mathematical equation that describes the functional relation between her spending on books (B) and her income (Y) is... a. B = 250 + 8Y b. B = 250 + 0.02Y c. Y = 250 + 0.08B d. Y = 250 - 8Y e. B = 250 + 0.08Y Clear my choiceIntermediate Econmics Suppose an agent has a utility function u (x, y) = x2y2(a) Set up the expenditure minimization problem and solve for the Hicksian demand functions asfunctions of prices and utility.(b) Find the expenditure function as a function of prices and utility.
- For 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 that an individual has a Utility function represented by a CES function. The utility function of the individual is given as: U(x,y) = x1/2 + y1/2 a. Derive the Marshallian Demand for both goods, in terms of Income and the prices of both goodsTrue/ False Income and consumption has a direct relationship for the normal goods.
- If the consumer’s income is held constant, how would the prices of goods X and Y have to change to make point C on U2 the consumer’s equilibrium?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.Which of the following statements is correct? a. In a consumers’ utility maximization problems over current and future consumption goods, a higher rate of return r produces substitution and income effects that cause a decrease in quantity demanded of future consumption goods. b. In a consumers’ utility maximization problems over current and future consumption goods, a higher rate of return r produces substitution and income effects that cause an increase in quantity demanded of current consumption goods. c. In a consumers’ utility maximization problems over current and future consumption goods, a higher rate of return r produces substitution effects that favor more saving and income effects that favor less. d. All of the above.
