1. Megan has $50 in their budget. Given the following graph what's the MRS at her optimal consumption bundle?
2. The demand curve for airplanes is: Qc=15,000 - .2Pc - 800Pg where Qc is the quantity of airplanes, Pc is the price of airplanes and Pg is the price of gasoline. By what quantity does the demand for airplanes change if the price of gasoline goes down by $.50?
a) 400
b) 800
c) -400
d) -800
e) Can’t be determined
3. A person has a Cobb Douglas utility function for two goods X and Y. If the price of a X increases and the budget stays the same, the utility maximizing person:
a) Will consume less of Y
b) Will only consume Y
c) Will consume less of both goods
d) Will have lower utility
e) Can’t be determined
4. What happens in the long run if the government limits entry into a market that was perfectly competitive?
a) The supply curve will shift to the right
b) The supply curve is upward sloping
c) The supply curve is flat
d) Firms earn zero profit
e) Can’t be determined
1. Megan has $50 in their budget. Given the following graph what's the MRS at her...
A person has a Cobb Douglas utility function for two goods X and Y. If the price of a X increases and the budget stays the same, the utility maximizing person __________. Cannot be determined from the information will consume less of Y will only consume Y will consume less of both goods will have lower utility
1.
answer it only numerical values.
2.
A person has a Cobb Douglas utility function for two goods X and
Y. If the price of a X increases and the budget stays the same, the
utility maximizing person __________.
Cannot be determined from the information
will consume less of Y
will only consume Y
will consume less of both goods
will have lower utility
Sara has $40 in her budget. Given the following graph, what is the MRS of her...
A person has a Cobb Douglas utility function for two goods X and Y. If the price of a X decreases and the budget stays the same, then a utility maximizing person O will only consume X* O will consume more of Y Cannot be determined from the information will consume more of both goods will have higher utility
The following graph shows three indifference curves and budget constraints for a consumer. The consumer is initially consuming at point A, on the indifference curve Ui and is constrained by the budget constraint BC1 (indicated by the blue line) Bc3 10 Ul BC BC 10 Suppose the government provides this consumer a subsidy on good x, which effectively lowers the price of x. This is represented by a of BC1 out away from the origin. The result is this consumer...
Suppose that Jessica has income Y and has preferences over hamburgers and movie tickets. Her budget constraint is: Y = Ph*h+Pm*m. Where Ph and Pm denote the price of hamburgers and movie tickets and h and m their quantity. Assume that Jessica's income is equal to $400 and that each hamburger costs $4 and each ticket costs $8. Draw the budget constraint as well as an indifference curve that satisfies the condition for utility maximization. Please fully label the graph....
Complete parts a-e.
1. Consider the following (Cobb-Douglas) utility function: U = xayB And budget constraint: MZ PeX+PY *Treat Px, P, M, a, and B as positive constants. Note, a + B < 1. Using these equations, please answer the following questions: a. Formally state this consumer's utility maximization problem and write down the relevant Lagrangian. (6 pts) b. Using your work from part "a.", derive demand curves for X and Y. Show all work. (6 pts) C. Show that...
question #6
P2 = $1 for each Gala. Find her optimal demand and show it on the graph. (e) Describe Kate's optimal choice(s) when p $1. Consumer Demand For each of the following utility functions, write down a transformation that would turn it into a Cobb-Douglas utility function of the form U(, )"ys where a B-1. (a) U(x, y) γχαν'-a where γ is a constant. (b) U(, y)-y 6. For each of the following utility functions, write down 2 monotonic...
Q1. Suppose consumer consumes two goods, X and Y. The price of X is P x , price of Y is P Y and the consumer income is m. a. Derive and interpret the budget constraint and its slope. b. If slope is -3, how will you interpret it? c. Suppose a government wants to discourage the excessive consumption of X and decides to impose a tax t 1 if someone consume more than X 1 but less than X...
2*. Assume that Bob has a budget constraint p1x1 + p2x2 = m, and that his preferences are represented by the Cobb-Douglas utility function U(x1, x2) = x1 c x2 d , where c>0 and d>0. State Bob’s optimization (utility maximization) problem. a) Set up the Lagrangian function. b) Derive the necessary conditions (the first-order conditions) for an optimal interior solution. c) Show that the MRS (the slope of the indifference curve) is equal to the slope of the budget...
2*. Assume that Bob has a budget constraint p1x1 + p2x2 = m, and that his preferences are represented by the Cobb-Douglas utility function U(x1, x2) = x1 c x2 d , where c>0 and d>0. State Bob’s optimization (utility maximization) problem. a) Set up the Lagrangian function. b) Derive the necessary conditions (the first-order conditions) for an optimal interior solution. c) Show that the MRS (the slope of the indifference curve) is equal to the slope of the budget...