7. Lori has the following utility function U = X0.5Y0.5 MUx = 0.5 X-0.5Y0.5 MUy = 0.5 X0.5Y-0.5
A.) Calculate Lori’s optimal consumption bundle when Px = Py = 10 given a budget of 200
B.)Calculate Lori’s optimal consumption bundle if Px = 5, other things equal
C.) Derive Lori’s demand for good X assuming it is linear.

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7. Lori has the following utility function U = X0.5Y0.5 MUx = 0.5 X-0.5Y0.5 MUy =...
Suppose that a consumer’s utility function is U=xy with MUx=y and MUy=x. Suppose the consumer‘s income is $480. For this question you may need to use the following approximations: sqrt(2) is approximately 1.4, sqrt(3) is approx. 1.7 and sqrt(5) is approx 2.2. a) Initially, the price of y is $4 and the price of x is $6. What is the consumer’s optimal bundle? b) What is the consumer's initial utility? Now suppose that price of x increases to $8 and...
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Rachel’s utility funtion U = x ∗ y, where MUx = y and MUy = x. The price of x is 2 and the price of y is unknown and equal to the variable py. Rachel’s budget constraint is 40 = 2 ∗ x + py ∗ y. When Rachel maximizes utility subject to her budget constraint, she purchases 5 units of y. What must be the price of y and the amount of x consumed? (Hint: solve for how...
Suppose that a consumer’s utility function is U(x,y)=xy+10y. the marginal utilities for this utility function are MUx=y and MUy=x+10. The price of x is Px and the price of y is Py, with both prices positive. The consumer has income I. (this problem shows that an optimal consumption choice need not be interior, and may be at a corner point.) Assume first that we are at an interior optimum. Show that the demand schedule for x can be written as...
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True or False.
1. If MUX/PX > MUY/Py at the best affordable bundle with goods X and Y the individual will not consume any of good Y.
1. U = XY where MRS = Y/X; I = 1500, Px = Py = 15, A. Derive optimal consumption bundle. B. If Px increases to be $30, derive the new optimal consumption bundle C. Using the results from A and B, derive the individual demand for good X assuming the demand is linear. 2. Assuming the market has two consumers for a very special GPU and their individual demands are given below Consumer A: P = 450 – 4...
(Use this information to answer a, b, c below) Suppose Mary’s utility function for two goods X and Y is given by: U(X,Y) = 3X1/2Y1/2 . Suppose consumption bundle A consists of 10 units of X and 30 units of Y, and consumption bundle B consists of 40 units of X and 20 units of Y. a. Consumption bundle A lies on a higher/lower/same indifference curve than consumption bundle B. Show computations. b. Compute Mary’s MRSxy at consumption bundle A....
a) Graph the indifference curve for U 25 b) Derive the MUx and MUy c) Derive the MRSy d) Calculate the MRSxy for the following utility function: U(x,y) (ry)12
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....