
2. Find the optimal bundle for a consumer whose preference is represented by U(r,s) = min(2r,...
3. Find the optimal bundle for a consumer with $500 budget whose preference is represented by U(m, n) = 2m + 2n when a) Pm = 10, Pn = 20 (5 points) b) Pm = 20, Pn = 10 (5 points) 4. Show income and substitution effect on graph when price of a normal good decreases. (10 points)
5. Answer the following for a consumer whose preference is represented by U(x, y) = xy + 2x + 3y a) Find Marshallian/ordinary demand. (5 points) b) Find Hicksian/compensated demand. (5 points)
h. U(1, 2 For the utility function above, find the consumer's optimal consumption bundle when prices of goods 1 and 2 are pl and p2, and the consumer has an income m. 1. 2. For the utility function above, find the consumer's optimal consumption bundle when prices of goods 1 and 2 are pl and p2, and the consumer has an endowment (el, e2) of the two goods. For each of your answers in question 2, write down the consumer...
(38pts) Suppose a consumer spends all of her income on only two goods, z and y. Her preferences over these two goods are represented by the utility function u(r,y) min(, 4y). The price of good y is given to be S8. Her income and price of z are represented by m and ps, respectively. (a) (10 pts) Find the demand for good z as a function of m and pa. (b) (5 pts) Is good z ordinary or Giffen good?...
Suppose Onyx’s preference over x and y can be represented by: U(x, y) = x1^(1/2) * x2^(1/2). Given that income is $120, and p1 = $6 while p2 = $12, find the optimal bundle for Onyx to consume.
2.3 Choice III Consider a consumer whose preference is represented by the utility function where A 0 and B 0. a) What is the consumer's marginal rate of substitution? b) If the consumer has income m and faces prices p-A and p - B, what are her optimal bundles? (There may be one, or more than one.) Draw a graph that illustrates this situation, including the budget line and the relevant indifference curve(s). c) If the consumer has income m...
d. U (1, ) (1a)(b-a For the utility function above, find the consumer's optimal consumption bundle when prices of goods 1 and 2 are pl and p2, and the consumer has an income m 1. 2. For the utility function above, find the consumer's optimal consumption bundle when prices of goods 1 and 2 are pl and p2, and the consumer has an endowment (el, e2) of the two goods For each of your answers in question 2, write down...
2. Find the optimal bundle for utility given by u(x1, 2) bу рі — 1, р2 — 3 and m min x1, 32 and a budget described 300 3. Find the optimal bundle for utility given by u(x, y) 40 In x 200. (Note that x is inside the ln function but y is not.) nd a budget described by Y X Ра — 2, р, — 4, and m
Consider a consumer whose income is 100 and his preference is given by U-10x04yo6. If PX-Py-1, what is the optimal consumption bundle by the consumer? (Please write out the constraint utility maximization problem completely, including the budget function.) Derive the demand of Good X and Y by this consumer. (The result should be a function giving you the amount of X he will buy at every given price level Px, and a function for good Y as well.) a. b....
Consider a consumer with a utility function u(x1, x2) = min{21, 222}. Suppose the prices of good 1 and good 2 are p1 = P2 = 4. The consumer's income is m = 120. (a) Find the consumer's preferred bundle. (b) Draw the consumer's budget line. (c) On the same graph, indicate the consumer's preferred bundle and draw the indifference curve through it. (d) Now suppose that the consumer gets a discount on good 1: each unit beyond the 4th...