Damian and Kira trade in antique cars. They typically buy either 1 or 2 cars at any given time, since they are difficult to find and expensive. The price per car P(Q) where Qis the total number of cars traded at a given time, is determined by the demand equation: P(Q) = K Q²¹
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- You are in the market for a new couch and havefound two advertisements for the kind of couchyou want to buy. One seller notes in her ad that sheis selling because she is moving to a smaller apartment, and the couch won’t fit in the new space.The other seller says he is selling because the couchdoesn’t match his other furniture. Which seller doyou expect to buy from? Why? ( Hint: Think whowould be the more motivated seller.)Suppose Jimi has reference dependent preferences over guitars and money as in Tversky and Kahneman (1991). His utility functions are given below. Gains Gains 400 -2 -2 2 Guitars 2$ Losses Losses i-600 -2 What is the least amount of money Jimi is willing to accept to sell one of his guitars? (just enter a dollar amount, i.e., "10o0", not "$1000"A person's utility function is given by U(x, y, z) = 7xyz, where x, y, z denote then number of units of three commodities X,Y, and Z that the person consumes. The pricesr per unit of X,Y, and Z are 5 euro, 1 euro, and 3 euro respectively. If ther person has a budget of 270 euro, the person's utility is maximised when they consume units of X, units of Y, and units of Z. The person's maximum utility is If the person's budget is increased to 271 euro, then using the method of lagrange multipliers we find that the maximum utility is approximately
- Kip is trying to decide whether to take a one-day martial arts class at Rex Kwan Do. The fee for the class is $400. Kip will also have to pay his brother Napoleon $150 for that day in return for giving him a ride into town. Instead of taking the class Kip could spend all day on the computer chatting with his girl, LaFawnduh. This gives him a value of $300. On the other hand, he could spend all day working with his Uncle Rico and making sweet moolah. Uncle Rico has promised to pay him $350 on that day if he works with him. What is Kip’s marginal cost of joining Rex Kwan Do? Group of answer choices $650 $550 $400 $300 $350 $150 $900Suppose that Ciana is deciding whether or not to buy a pair of sneakers that she has been researching online, and also the best place to make her purchase. Three different stores in the area sell the sneakers she likes, but some stores are more convenient for Ciana to reach than others. One option is her local shoe store located only 15 minutes away from where she works, where they charge a marked-up price of $124 for the sneakers: Store Travel Time Each Way Price of a Sneakers (Minutes) (Dollars per sneakers) Local Shoe Store 15 124 Different Neighborhood in Town 30 103 Rural Outlet 60 70 Ciana earns an hourly wage of $30 at her job. In order to purchase her sneakers she will have to take time off work, so each hour away from her job costs her $30 in lost income. Assume that Ciana’s travel time is the same each way (to and from the store) and that it will take her 30 minutes once she reaches a store to complete her shopping. Assume throughout the question…Marina decides to purchase a ring made from an alloy composed exclusively of gold (G) and titanium (T). The price of gold is $60 per gram, and the price of titanium is $30 per gram. Her total budget for the ring is $600. Her utility function is given by U(G,T)=GT. Suppose the price of titanium falls to $20 per gram. At the decomposition basket, the optimal amount of gold is grams (keep 2 decimal places ONLY).
- abby is a single mom with a weekly budget of $100. She can spend her weeklyincome on food and diapers for her son. Price of food is $1 and price of a diaperis 50 cents. Her son needs at least 5 diapers a day, therefore she must purchaseat least 35 diapers weekly. Jennifer’s utility function is U (f, d) = f 0.9d0.1,where f and d represent quantity of food and diapers, respectively.Question 1 Part aFind abbys optimal consumption bundle. Make sure to draw her budgetconstraint and indifference curves and clearly demonstrate your solution.Kip is trying to decide whether to take a one-day martial arts class at Rex Kwan Do. The fee for the class is $400. Kip will also have to pay his brother Napoleon $150 for that day in return for giving him a ride into town. Instead of taking the class, Kip could spend all day on the computer chatting with his girl, LaFawnduh. This gives him a value of $300. On the other hand, he could spend all day working with his Uncle Rico and making sweet moolah. Uncle Rico has promised to pay him $350 on that day if he works with him. What is Kip’s marginal cost of joining Rex Kwan Do? Correct answer: $900 why don't you include 300 also? explanationEach month Larry purchases household utilities. His preferences over gallons of heating oil (x) and units of other utilities (y) can be represented by the utility function: U(x,y) = ln x + ln y. Suppose that the market price of heating oil is $4 per gallon, the price of a unit of other utilities is $1, and that Larry has $320 to spend per month on his utilities. The price of heating oil is too high, so the government proposes a per-unit subsidy of $1.60. Larry can buy heating oil at the price of $2.40 with the per-unit subsidy. However, the government adjusts the price of heating oil again. The second proposal sets the market price of heating oil to $2.56. 1) What is the equivalent variation of the price change from $2.40 to $2.56? 2) What is the cost to the government?
- You must allocate the 70,000 seats in Reliant Stadium (in Houston) among Texan (Houston) and Cowboy (Dallas) fans for an upcoming game between the two footfall teams. You can set different prices for seats in the Dallas and Houston sections of the stadium. Suppose you can obtain $40/ticket from Houston fans irrespective of the number of seats you allocate to Houston fans. You must drop price in order to sell more tickets to Dallas fans, however. Let Q be the number of tickets you allocate to Dallas fans. Assume that the maximum price you can charge for these tickets is given by the following inverse demand function P= 80 500 (a) Express the total revenue (on all 70,000 seats) from ticket sales as a function of Q; (b) Derive the first-order condition of the revenue-maximizing problem (it's a function about Q); (c) What is the optimal number of seats allocated to Dallas fans?Rohit likes playing badminton with his friends. His utility function for playing badminton every week is given by U(t) = 11t - 212. where t is measured in hours. They play on a badminton court, which they can rent per hour. Suppose the current price to play on the badminton court is $2.50 per hour. a) How many hours should Rohít play if he wishes to maximise his utility? b) Explain what we mean by the principle of diminishing marginal utility. Does the principle apply in Rohit's case? Explain why? In a diagram with income in Dollars on the horizontal axis and quantity on the vertical axis, show the relationship between Rohit's budget and the number of hours that would maximise his consumer surplus.Ayana is pitching an idea for a startup company that makes and sells solar-powered phonechargers (C). Her market research has found that consumer demand for this product can beexpressed as a function of the price of the charger itself (PC), the price of phones (PF), andthe consmer’s income (I). Consumer demand can be described by the function C(PC, PF, I) =(i−10PC)/ (PF) Suppose her chargers come in all different capacities to meet any quantity demanded, so youdon’t need to worry about restricting C to whole numbers for this problem. (a) Does this product satisfy the law of demand?Explain. (b) Calculate consumers’ income elasticity as a function of the parameters. (c) Anaya is targeting a market whose income is expected to double over the next five years.Explain whether she should expect the demand for chargers to increase or decrease, andby how much, using the language of normal, inferior, luxury, and necessity goods. (d) Calculate the cross-price elasticity ofCwith respect toPF. (e)…