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f we observe a consumer choosing (x1, x2) when (y1, y2) is available one time, are we justified in concluding that (x1, x2) (y1, y2)?
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- If we observe a consumer choosing (x1, x2) when (y1, y2) is available onetime, are we justified in concluding that (x1, x2) (y1, y2)?If the consumer thinks that (x₁,x2) is at least as good as (y₁.42) and that (y₁y2) is at least as good as (x₁,x2), we can conclude that (look at the following options)From the given graph solve all three true or false statements.
- 4.If we observe a consumer choosing (x1, x2) when (y1, y2) is available one time, are we justified in concluding that (x1, x2) > (y1, y2)?Bart and Lisa are both optimizing consumers in the market for shirts and hats, where they pay $100 for a shirt and $50 for a hat. Bart buys 8 shirts and 4 hats, while Lisa buys 6 shirts and 12 hats. From this information, ignoring the minus sign, we can infer that Bart's marginal rate of substiution is _________ hats per shirt, while Lisa's is __________ hat's per shirt1. Use budget constraints to express consumption levels, ct and ct+1. (Hint: Use income conditions given above in the budget constraint. Notice that there are two possible states in the second period.)2. Rewrite the utility maximization problem as choosing the optimal at alone. (Hint: Replace ct and ct+1 in the utility function with your answers from point 1. Use probabilities to derive the expected value in the utility function. Remember that a random variable that takes values x1 in state one with probability p and x2 in state two with probability 1 − p has the expected value E [x] = p.x1 + (1 − p).x2)3. Derive the first order condition and find the optimal value of savings, at. (Hint: The only control (choice) variable is at)4. Does household accumulate precautionary savings to self-insure against the scenario of low income in the second period? Why or why not?
- how then can we find the total utility given q1=24, q2=30 and q3=15By using the expected utility theory approach with u(x)=x2, choose the optimal decision for three different possible outcomes with probabilities p(ω1)=1/2, p(ω2)=p(ω3)=1/4, rewards R(d1,ω1)=£49,R(d1,ω2)=R(d1,ω3)=£25, R(d2,ω1)=£36,R(d2,ω2)=£100,R(d2,ω3)=£0, R(d3,ω1)=£81,R(d3,ω2)=R(d3,ω3)=£0Vilfredo has complete and transitive preferences on cars. We know that he prefers a Hyundai Sonata to a Mazda 3, and that he finds a Mazda 3 at least as good as a Honda Civic. Can we conclude that he prefers a Hyundai Sonata to a Honda Civic? Yes No
- Arielle is a risk-averse traveler who is planning a trip to Canada. She is planning on carrying $400 in her backpack. Walking the streets of Canada, however, can be dangerous and there is some chance that she will have her backpack stolen. If she is only carrying cash and her backpack is stolen, she will have no money ($0). The probability that her backpack is stolen is 1/5. Finally assume that her preferences over money can be represented by the utility function U(x)=(x)^0.5 Suppose that she has the option to buy traveler’s checks. If her backpack is stolen and she is carrying traveler’s checks then she can have those checks replaced at no cost. National Express charges a fee of $p per $1 traveler’s check. In other words, the price of a $1 traveler’s check is $(1+p). If the purchase of traveler’s checks is a fair bet, then we know that the purchase of traveler checks will not change her expected income. Show that if the purchase is a fair bet, then the price (1+p) = $1.25.A hypothetical survey shows that most bike riders prefer Honda to Yamaha. What does this mean in the ordinal and cardinal utility analysis? If the survey is true, how do you reconcile the fact that we find more people driving Yamaha motor bikes than those driving Honda?If X causes Y, then X is the dependent variable and Y is the independent variable. Group of answer choices True False