3. Assume that good x is on the horizontal axis and good y is on the vertical axis, and that preferences are complete, transitive, monotonic and convex. Suppose the income consumption curve is upward sloping and consider the truthfulness of the following statements. I. The price consumption curve as the price of x changes must be upward sloping too. II. The demand curve for good y must be downward sloping. a. Only statement I is true. b. Only statement II is true. c. Both statements I and II are true. d. Neither statement is true.
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- Denote the consumption of food by x and the consumption of all other goods by y. The demand for food as a function of prices and income is given by: Qx(px,py,W)=5W/8px. Suppose that W=100, px=3, and py=5. The change in consumption of food that is caused by a 2% increase in W is approximately: An increase of 2% in demand of y. There is no change. A decrease of 2% in demand of y. A decrease of 2% in demand of x. An increase of 2% in demand of x.Ma1. Please give only typed answer. Assume the following expendiexpenditure function. (a) Interpret this function. In particular, what will happen to the optimal expenditure, if the consumer wanted to maintain a high level of utility? (b) Calculate Hicks demand for good 2. (c) Suppose that p1 = 1, p2 = 1 and that U = 28. Calculate and interpret the variation compensation if the price of good 2 increases by $1.5. A consumer buys only two goods, X and Y. No other goods exist and there is no possibility of saving. The marginal utility of X is independent of the quantity of Y consumed, and the marginal utility of Y is independent of the quantity of X consumed. MUX is constant no matter how he consumes, but MUY falls as consumption increases. In the initial equilibrium he consumes one of each good. How much can you infer about the following:a.) The slope of the indifference curveb.) The curvature of the indifference curvec.) Whether the marginal utility of money is constant, rising, or falling as money income increases.d.) the income elasticity of demand for Ye.) The price elasticity of demand for X.
- 23. Suppose that there are two goods in an economy and that all prices double. At the sametime, the consumer’s income triples, then:(a) The budget line becomes steeper(b) The budget line becomes flatter(c) The budget line does not change(d) The slope of the budget line does not change, but it makes a parallel shift in towardsthe origin(e) The slope of the budget line does not change, but it makes a parallel shift out fromthe originSuppose that Y=MX+b, where Y=consumption, b=consumption at zero income, M=slope, and X=income(i) Are Y and X positively related or are they negatively related?(ii) If graphed, would the curve for this equation slope upward or slope downward?(iii) Are the variables Y and X inversely related or directly related?(iv) What is the value of Y if b=10, M=.50, and X=200?(v) What is the value of X if Y=100, b=10, and M=.25?Tom's income is 32. He consumes a single consumption good, C, which has a price of 2. His utility function depends on his marital status: when happily married, his utility is given byU=C^(1/2) When he is not married, his utility is given by U=0.5C^(1/2) a. Suppose that Tom is not currently married. What is his utility? Now suppose that Tom gets married.What is his utility? Assume Tom can spend all his income on his own consumption when he is married. b. Use compensating variation (CV) and equivalent variation (EV) to calculate the value of marriage to Tom. How do the two figures compare?
- Columns 1 through 4 in the following table show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are, respectively, $18, $6, $4, and $24 and that Ricardo has an income of $106. a. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? b. How many dollars will Ricardo choose to save? c. Check your answers by substituting them into the algebraic statement of the utility-maximizing rule.ASAP according to helly only needed answer Q. 8. Suppose a consumer can afford to buy 6 units of good 1 and 8 units ofgood 2 if she spends her entire income. The prices of the two goods are ₹ 6 and₹ 8 respectively. How much is the consumer's income ?1) Suppose that a person consumes two goods, x and y, in fixed proportions. He or she always consumes 1 unit of x together with 3 units of y no matter what the relative prices are.a) What is the mathematical form for this person's utility function?b) Calculate the Marshallian demand functions for both goods for this person.c) Calculate the indirect utility function and the expenditure function for this person.d) In class we discussed why expenditure functions are concave in prices. Is the expenditure function you calculated in part (c) concave in ???
- Suppose a consumer with a utility function U(x,y) =x 0.5 y 0.5 and an income of $500.00. Considering that X and Y products are sold by the kilo and that their prices are 25.00 and 50.00 respectively, calculate: a) Maximizing amounts of x and y for the consumer b) Graphically sketch the consumer balance c) Discuss the following statement: "if the consumer's income increases by 20%, the consumer will also consume 20% more of each of the products"Columns 1 through 4 of the accompanying table show the marginal utility, measured in utils, that Ricardo would get by purchasing various amounts of products A, B, C, and D. Column 5 shows the marginal utility Ricardo gets from saving. Assume that the prices of A, B, C, and D are $18, $6, $4, and $24, respectively, and that Ricardo has an income of $105. What quantities of A, B, C, and D will Ricardo purchase in maximizing his utility? How many dollars will Ricardo choose to save? Check your answers by substituting them into the algebraic statement of the utility‑maximizing rule. In other words, show it works when using this rule.It is given that the price of goods X and Y are both Rs.10 each, a consumer consumes 10 units of X and 10 units of Y at equilibrium.a. Draw the budget line and indifference curve and show the point of consumer equilibrium. b. If the price of X falls to Rs.5, PY and money income remaining the same, what is the real income increase?c. At the new equilibrium caused by a fall in price of X, the consumer has a combination of 16 units of X and 12 units of Y. Show the price effect of a change in price of X using the PCC.d. Why are more units of Y consumed even though its price has not fallen?