
Suppose a consumer's optimal consumption of a good is determined by the equation x* = x1(P1,...
D 16. Suppose a consumer's optimal consumption of a good is determined by the equation ** = x1(P1, P2, m) where pi is the price of good 1, P2 is the price of good 2, and m is the consumer's income. If dx1 Om =-1 which of the following must be true? (Choose the best answer). Good 1 and good 2 are complements Good one is a normal good Good one is an inferior good Good 1 and good 2...
Suppose a consumer's optimal consumption of a good is determined by the equation x1 = x1(P1, P2, m) where P1 is the price of good 1, P2 is the price of good 2, and m is the consumer's income. If Əx1 > 0 Әрі which of the following must be true? Good 1 is an inferior good Good 1 is a normal good Good 1 and good 2 are substitutes Good 1 and good 2 are complements
(10 points) Wendy's utility over consumption bundles (x1, x2) is given by u(x1,x2) = VX1 + 21X2. If the price of good 1 is $2/unit, the price of good 2 is $1/unit and income is $120, what is Wendy's optimal consumption of Good 2? (You can use the 5 step method to solve this problem). (10 points) When u(x1, x2) = min ), at prices and income P1, P2, and I, demand for good 1 is given by xi (P1,...
The utility function is u = x1½ + x2, and the budget constraint is m = p1x1 + p2x2. Derive the optimal demand curve for good 1, x1(p1, p2), and good 2, x2(m, p1, p2). Looking at the cross price effects (∂x1/∂p2 and ∂x2/∂p1) are goods x1 and x2 substitutes or complements? Looking at income effects (∂x1/∂m and ∂x2/∂m) are goods x1 and x2 inferior, normal or neither? Assume m=100, p1=0.5 and p2=1. Using the demand function you derived in...
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...
QUESTION 11 Suppose there are two goods, X1 and x2, and your preferences are represented by the following utility function: , u(x1,x2) = x1/4xz.! The price, P1, for good x1, is 2.5 and the price, P2, for good x2, is 3.5. You have units of money (M) of 60. Compute the consumer's optimal consumption of x1and x2 Enter x1 only here:
1. Student A has preferences represented by U(x1,x2) = min{ax1,bx2}. Suppose good one has a special tax. The government wants good one to be consumed as little as possible, so it imposes a tax on its price when more than x units are bought. Specifically, the price of good one is p1 if less than x units are bought and it is p1(1 + t) when buying more than x units (for all the units bought). Where t indicates the...
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...
Consider the utilityfunction u(x1,x2) = 2lnx1+lnx2. Initially, the prices are p1 = $2 and p2 = $1 per unit. The consumer has an income of $18. Then, the price of good x1 increases to p'1 = $3 per unit. State the consumer's maximization problem and use this problem to derive his demand functions for the two goods. Determine whether the two goods are ordinary or Giffen. Determine whether the demand functions for the two goods are elastic, inelastic or unit...
At the consumer's optimal consumption bundle, the MRSxy is 4, and the marginal utility of good X is 8. What is the marginal utility of good Y? Select one: a. 24 b. 1/2 c. 16 d. 2