Kruder's utility function is min{2x+ 2y, 4x + 3y}. Dorfmeister's utility function is min{4.x + 4y, 8x + 6y} . Kruder and Dorfmeister have the same income and face the same prices. A. Kruder and Dorfmeister will demand the same amount of good x. В. Kruder will demand more of good y than Dorfmeister. С. Dorfmeister will demand more of good y than Kruder. D. Each will prefer the other's consumption bundle to his own. Е. None of the above.
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- Maxim has utility function u(x1,x2)=max{x1+x2,3*x2}. Derive her demand for good 2 when p1=1, p2=1, m=20.Q10. Consider a utility function: U (F,C) = FC so MU_F = C and MU_C = F. In Case 1, Total income is $100 , per unit prices of Food (F) are $2 , per unit prices of Cloth (C) are $10In Case 2, Total income is $100 , per unit prices of Food (F) are $2 , per unit prices of Cloth (C) are $15 Find the following for both cases, and contrast Case 2 with Case 1:a. What is the value of MRS at the optimal point and what does this value mean? b. What is the optimal consumption bundle i.e. (F*, C*)? c. Plot the budget line and clearly depict the point of optimality in the F (x-axis)-C (y-axis) space (draw both case budget lines and point of optimality on one diagram)Sam's is interested in two goods, X and Y. His indirect utility function is U* = M px-0.8 py0.8-1. ( same as U* = M /(px0.8 py1-0.8 ) ) where M is Sam's income, and px and py denote respectively the price of good X and the price of good Y. Sam's market demand function for good X is X*=0.8M/px . Find the compensating variation for Sam given the price of good X rises from 1 to 4 dollars due to a per-unit tax imposed by the government, assuming his income is M=514 and price of good Y is equal to 4.
- Assume the demand for cherries is elastic and that the producer of cherries increases the price of cherries. As a result? A convex indifference curve implies what type of behavior? If a consumer always wishes to consume peanut butter and jam in fixed proportions, he treats these two goods as if they are? Assume PX= $3 and PY = $6 and income = $30. What is the relative price of an additional unit of good X in terms of the amount of good Y that has to be given up? Assume there are only two goods (X and Y). Assume the relative price of good X, is 2 of good Y. If income doubles, the price of X doubles and the price of Y doubles, what will be the relative price of good Y?Suppose that Sam has a utility function u(x, y)= xy2 where x is the amount of good 1 and y is the amount of good 2. The price of good 1 is $10 and price of good 2 is $20, and the income is $ 90. The price of good 1 is denoted by px and the income is donated by m. Derive the equations for income-offer curve, Engel curve for good 1, demand curve for good 1 and solve for the optimal consumption of (x, y).An economy described in an edgeworth box consists of 2 goods, namely X and Y and two consumers, namely A and B. Initially A has goods X and Y equal to 12 and 2 respectively, with the utility function UA (XA, YA) = XAYA . Meanwhile, B initially has goods X and Y equal to 8 and 18, respectively, with the utility function UB (XB, YB) = XBYB. It is known that the price of item X is IDR 50,000 and the price of item Y is IDR 50,000. a. Draw the economy above, in an edgeworth box representing the endowment positions of individuals A and B complete with their respective utility curves. Don't forget to include all relevant symbols and numbers on the vertical and horizontal axes. b. Is initial ownership an efficient allocation? By evaluating the endowment and MRS of individuals A and B, will there be an exchange? c. Determine the competitive balance allocation! (hint: considering the ratio of the price of goods X and Y)
- Bob views apples and oranges as perfect substitutes in his consumption, and MRS 1 for all combinations of the two goods in his indifference map. Suppose the price of apples is $2 per pound, the price of oranges is $3 per pound, and Bob's budget is $30 per week. What is Bob's utility maximizing choice between these two goods? A) 10 pounds of oranges and no apples B) 15 pounds of apples and no oranges C) 5 pounds of apples and 5 pounds of oranges D) 4 pounds of apples and 6 pounds of oranges E) none of the aboveAngela's utility function is U(x1; x2) = (x1 + x2)3. Her indierence curves are downward- sloping, parallel straight lines. true or false?The Utility Function is U(q1, q2) = q11/6 . q21/3 a.) Solve for the amount of good #1 the individual would demand if good #1 and good #2 both have a price of $1 (p1= p2 =1) and the individual has an income of $9 ( Y = 9). b.) If the individual's income increased by 1%, what would be the resulting percentage change in their quantity demanded of good #1?
- In village H, there are 100 people with (H)ealthy eating habits and in village U there are 100 people with (U)nhealthy habits, each person with $27 budget to spend on pizza (x) and beer (y). Unhealthy-habit people view pizza and beer as perfect substitutes, with 3 (slices) of pizza always equivalent to 1 beer in terms of utility (pizza and beer can always be substituted at 3 to 1 rate on any indifference curve). Healthy-habit people view them as perfect complements where each 2 slices of pizza has to be accompanied with 1 beer, always. Also, py = $12 and pizza price is px . The two villages are far apart, hence one village’s pizza (or beer) market is separate from the other village’s market. (a) Derive the demand function for pizzas (as a function of px) for a single U individual. (b) Derive the demand function for pizzas (as a function of px) for a single H individual. (c) In village U, if the supply of pizza is Q = 300px, how many pizzas are consumed in village U?…In village H, there are 100 people with (H)ealthy eating habits and in village U there are 100 people with (U)nhealthy habits, each person with $27 budget to spend on pizza (x) and beer (y). Unhealthy-habit people view pizza and beer as perfect substitutes, with 3 (slices) of pizza always equivalent to 1 beer in terms of utility (pizza and beer can always be substituted at 3 to 1 rate on any indifference curve). Healthy-habit people view them as perfect complements where each 2 slices of pizza has to be accompanied with 1 beer, always. Also, py = $12 and pizza price is px . The two villages are far apart, hence one village’s pizza (or beer) market is separate from the other village’s market. a. In village H, if the supply of pizza is Q = 100 (perfectly inelastic supply!), what is the market clearing (equilibrium) price for pizzas in village H?Suppose David spends his income (I) on two goods, x and y, whose market prices are px and py, respectively. His preferences are represented by the utility function u(x, y) = lnx + 2lny (MUx = 1/x, MUy = 2/y). a. Derive his demand functions for x and y. Are they homogeneous in income and prices? b. Assuming I = $60 and px = $1, graph his demand curve for y. c. Repeat part (b) for the case in which px = $2.