Assume that a∈[-1,1] and θ∈(0,2). The utility function is given by u(a,θ)=a(θ-1). Which of the following action is never optimal ex-post? a. 0 b. All can be optimal ex-post c. 1
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Assume that a∈[-1,1] and θ∈(0,2). The utility function is given by u(a,θ)=a(θ-1). Which of the following action is never optimal ex-post?
a. 0
b. All can be optimal ex-post
c. 1
d. -1
Step by step
Solved in 2 steps
- If we observe a consumer choosing (x1, x2) when (y1, y2) is available onetime, are we justified in concluding that (x1, x2) (y1, y2)?Suppose a consumer is indifferent between the bundles (x1, x2) = (20, 10) and (15, 16), and suppose that the same consumer prefers the bundle (19, 9) to both. Is there anything wrong about her preferences when evaluated against the standard assumptions of consumer preferences?A young consumer has to decide how to spend his spare time. He can either watch movies x or play online video games y. Each round of the game cost 20 and each movie cost 20. He has 200 dollars to spend each week. In addition, he has time constraint. He can spend no more than 20 hours for entertainment each week. A movie last 2 hours and playing a game takes about 1 hour. His utility is given by √xy. Use the Kuhn-Tucker condition to find his optimal choice. (Assume that x and y can take any value, not necessarily integers.) Does the solution satisfy the necessary and sufficient condition for a maximum?
- Describe the two approaches of utility analysis !Ann's utility function is U = q1q2/(q1 + q2). Solve for her optimal values of q1 and q2 as a function of p1, p2 and Y.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)
- When utility function U(q1, q2)=min{ 34.6 q1, 17 q2} and q1= 33 and q2= 60 are given, find utility level consumer gains?Which of the FF. statements is correct regarding the preference of the consumers when the income of the consumer can only be spent between apples and oranges? Assume that apples are written on the vertical axis while oranges are written on the horizontal axis A. when the consumer has few oranges, he is willing to trade more apple to get another orange B. when the consumer has so many oranges already, he will only exchange less apples for an orange C. the declining slope of the indifference curve shows the marginal value of oranges is declining D. all are correct E. none is correctIf u(x1, x2) = x1 + x2 represents the individual's preferences, then V(x1, x2) = -1/(x1 + x2) also represents the individual's preferences. True, Uncertain or False?
- What kind of preferences are represented by a utility function of theform u(x1, x2) = √x1 + x2? What about the utility function v(x1, x2) =13x1 + 13x2?Suppose a consumer is indifferent between the bundles (x1, x2) = (19, 10) and (15, 16), and suppose that the same consumer prefers the bundle (15, 14) to both. What can you say about his/her preferences when evaluated against standard assumptions of consumer preferences?Mats, who has reference-dependent preferences over beer and money, goes to the local pub with a friend, but is not planning on drinking any beer or spending any of his 50 Euro in cash. Let his end-of-evening outcomes in pints of beer consumed and cash be c1 and c2, respectively, and let his reference point in pints of beer and cash be r1 and r2, respectively. Then, Mats’ utility is given by v(6c1 − 6r1) + v(c2 − r2), where v(x) = x for x ≥ 0, and v(x) = 1.5x for x < 0. (a) Suppose that the price of beer is pB. Calculate Mats’ utility from drinking one pint of beer at this price. What is Mats’ utility from drinking no beer? And, comparing these two utility values, what is the maximum price pB that Mats would pay for one beer? (b) Suppose that Mats unexpectedly gets a pint of beer as part of a promotion at the pub, and incorporates its consumption into his reference point in beer. [Hint: this means that (r1, r2) = (1, 50).] Suppose that Mats could sell the beer at a price pS.…