Catalina just inherited a vineyard from a distant relative. In good years (when there is no rain or frost during harvest season), she earns $115,000 from the sale of grapes from the vineyard. If the weather is poor, she loses $35,000. Catalina's estimate of the probability of good weather is 55%. The expected value of Catalina's income from the vineyard is $. (round your answer to the nearest dollar)

Catalina just inherited a vineyard from a distant relative. In good years (when there is no rain or frost during harvest season), she earns $115,000 from the sale of grapes from the vineyard. If the weather is poor, she loses $35,000. Catalina's estimate of the probability of good weather is 55%. The expected value of Catalina's income from the vineyard is $. (round your answer to the nearest dollar)

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Hi! Can you help me with the question below? Todd has a job that presents zero risk of death or injury, but has always craved something more exciting. His current annual salary is $50,000. He has been offered a job on an Alaskan fishing boat that will pay$55,000 annually. This new job offer, however, comes with a 10% risk of severe injury that will cause Todd to have no income. Which of the following is true? (Assume the severe injury has no relevant implications besides reducing Todd’s income) A) Todd will definitely take the new job if he’s risk averse.B) Todd will definitely take the new job if he’s risk neutral.C) Todd will definitely decline the new job if he’s risk averse or risk neutral.D) Todd will definitely accept the new job if he’s risk seeking.E) Not enough information to determine.
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4) Luke is planning an around-the-world trip on which he plans to spend $10,000. The utility from the trip is a function of how much she spends on it (Y ), given by U(Y) = InY a). If there is a 25 percent probability that Luke will lose $1000 of his cash on the trip, what is the trip's expected utility. b). Suppose that Luke can buy insurance to fully against losing the $1,000 with a actuarially fair insurance. What is his expected utility if he purchase this insurance. Will he purchase the insurance? c). Now suppose utility function is U(Y) = Y/1000 What is his expected utility if he purchase the insurance in b). Will he purchase the insurance?
If the farmer uses pesticides he expects a crop of 60,000 bushels; if he does not use pesticides he expects a crop of 50,000 bushels. The cost of pesticides is $30,000 and the other costs associated with planting and harvesting the crop total $450,000. The price of corn at harvest time will either be $9.00 with probability of 0.50 or it will be $11.00 with probability 0.50, so if the farmer decides to sell the crop at harvest, the expected price per bushel that he will receive is $10.00. If the farmer decides to sell the crop at harvest, then: a. He should not use pesticides because not using pesticides ensures greater expected profit. b. He should not use pesticides because not using pesticides ensures lower expected profit. c. He should use pesticides because using pesticides ensures greater expected profit. d. He should use pesticides because using pesticides ensures lower expected profit.
In a large casino, the house wins on its blackjack tables with a probability of 50.9%. All bets at blackjack are 1 to 1, which means that if you win, you gain the amount you bet, and if you lose, you lose the amount you bet. a. If you bet $1 on each hand, what is the expected value to you of a single game? What is the house edge? b. If you played 150 games of blackjack in an evening, betting $1 on each hand, how much should you expect to win or lose? c. If you played 150 games of blackjack in an evening, betting $3 on each hand, how much should you expect to win or lose? d. If patrons bet $7,000,000 on blackjack in one evening, how much should the casino expect to earn? a. The expected value to you of a single game is $ (Type an integer or a decimal.)
If the farmer uses pesticides he expects a crop of 60,000 bushels; if he does not use pesticides he expects a crop of 55,000 bushels. The cost of pesticides is $20,000 and the other costs associated with planting and harvesting the crop total $450,000. The price of corn at harvest time will either be $10.00 with probability of 0.50 or it will be $12.00 with probability 0.50, so if the farmer decides to sell the crop at harvest, the expected price per bushel that he will receive is $11.00. If the farmer does not use pesticides and decides to sell the crop at harvest, what is his expected revenue? a. $550,000.00 b. $660,000.00 c. $600,000.00 d. $605,000.00
A wheel of fortune in a gambling casino has 54 different slots in which the wheel pointer can stop. Four of the 54 slots contain the number 9. For a 1 dollar bet on hitting a 9, if he or she succeeds, the gambler wins 10 dollars plus the return of the 1 dollar bet. What is the expected value of this gambling game? What is the meaning of the expected value result?
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2. Christiaan can go hiking, or he can stay at home. Hiking would be fun if nothing bad happens, but there is a risk if he goes hiking that he will meet a bear (not fun) or get bitten by a snake (very not fun). Christiaan decides that if there is a 5% chance of meeting a bear and a 1% chance of getting bitten by a snake, he would prefer to go hiking rather than stay at home. However, if the chance of meeting a bear is 10% and the chance of a snake bite is 5%, he definitely would rather stay at home. then (a) Consider the utility function: U (stay home) = 25, U (hike no event) = 100, U (hike & snake) -1000, U (hike & bear) = -200. Does this utility function represent Christiaan's pref- erences? Explain. (b) Suppose that the utility function in (a) does represent Christiaan's preferences. Would Christiaan prefer to hike or stay home if the probability of meeting a bear is 6% and the probability of being bitten by a snake is 4%? Show your work.
Suppose 1,250 raffle tickets are being sold for $5 each. One ticket will be chosen to receive a cash prize of $2,500, and three tickets will be chosen to recelve cash prizes of $500. Let x be the amount of money won/lost by purchasing one raffle ticket. Find the expected value for . (Round your answer to the nearest penny. Do not include as sign in your answer. Your answer may be positive or negative.)
To go from Location 1 to Location 2, you can either take a car or take transit. Your utility function is: U= -1Xminutes -5Xdollars +0.13Xcar (i.e. 0.13 is the car constant) Car= 15 minutes and $8 Transit= 40 minutes and $4 What is your probability of taking transit given the conditions above? What is your probability of taking transit if the number of buses on the route were doubled, meaning the headways are halved? Remember to include units.