(b) Let the utility of two alternatives į € {1, 2} be U₁ = V₁ + ₂. Where, U₂ is the perceived ultility, Vi is the measured utility and €; is the random randoum variable of alternative i . Assuming V₁ = -7.2 and V₂ = -5.0, under what conditions will the alternative i = 2 be chosen. Select all that apply. b. ₁ - 2 <2.1 b. 81 - 82 < 3.1 b. 1 - 2 < 1.1 d. All of the above
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- Pisa Pizza, a seller of frozen pizza, is considering introducting a healthier version of its pizza that will be low in cholesterol and contain no trans fats. The firm expects that sales of new pizza will be $20 million per year. While many of these sales will be to new customers, Pisa Pizza estimaes that 40% will come from customers who switch to the new, healthier pizzai nstead of buying the original version. a) Assume cusotmer will spend the same amount on either version. What level of incremental sales is associated with introducing the new pizza? b) Suppose that 50% of hte cusomters who will switch from Pisa Pizza's orignial pizza to its healthier pizza will switch to another brand if Pisa PIzza does not introduce a healthier pizza. What level of incremental sales is associated with introducing the new pizza in this case?Please no written by hand solution Kate recently invested in real estate with the intention of selling the property one year from today. She has modeled the returns on that investment based on three economic scenarios. She believes that if the economy stays healthy, then her investment will generate a 30 percent return. However, if the economy softens, as predicted, the return will be 10 percent, while the return will be -25 percent if the economy slips into a recession. If the probabilities of the healthy, soft, and recessionary states are 0.6, 0.2, and 0.2, respectively, then what are the expected return and the standard deviation of the return on Kate❝s investment? Calculate the coefficient of variation for this investment. (Round expected return to 3 decimal places, e.g. 0.125 and round intermediate calculations and standard deviation to 5 decimal places, e.g. 0.07680.)A researcher studying the effects of a new fertilizer on crop yields plansto carry out an experiment in which different amounts of the fertilizerare applied to 100 different 1-acre parcels of land. There will be fourtreatment levels. Treatment level 1 is no fertilizer, treatment level 2 is50% of the manufacturer’s recommended amount of fertilizer, treatmentlevel 3 is 100%, and treatment level 4 is 150%. The researcher plans toapply treatment level 1 to the first 25 parcels of land, treatment level 2to the second 25 parcels, and so forth. Can you suggest a better way toassign treatment levels? Why is your proposal better than the researcher’smethod?
- 1. A person who is 55 year old bought a PHP 2,000,000 life insurance policy at a cost of PHP 1.2 M and has a probability of 0.978 of living to age 56, find the expectation of the policy. 2. nPn-r = ? (Permutations)The proportion of vehicles which drive above the speed limit on a freeway is 85%. Suppose 100 vehicles are randomly clocked. 20 If each speeding vehicle is issued a $185 speeding ticket, the expected value of the ticket amount is $________. a $15,725 b $14,560 c $13,480 d $12,485The owner of a ski resort is considering installing a new ski lift that will cost $900,000. Expenses for operating andmaintaining the lift are estimated to be $1,500 per day when operating. The U.S. Weather Service estimates thatthere is a 60% probability of 80 days of skiing weather per year, a 30% probability of 100 days per year, and a 10% probability of 120 days per year. The operators of the resort estimate that during the first 80 days of adequate snow in a season, an average of 500 people will use the lift each day, at a fee of $10 each. If 20 additional days are available, the lift will be used by only 400 people per day during the extra period; and if 20 more days of skiing are available, only 300 people per day will use the lift during those days. The owners wish to recover any invested capital within five years and want at least a 25% per year rate of return before taxes. Based on a before-tax analysis, should the lift be installed?
- When real estate apents sell their own, rather than dients, houses, they leave the houses on the market for a longer time (10 davs longer on average) and wind up with better prices. Suppose that real estate apents earn a commission equal to 3% of the sale value of each house that they help sel. Suppose a real estate apent has an offer on a house of s200,000. The agent can pet a 4% higher offer with more effort and by leaving the house on the market for a few more weeks. If the agent sells the house now, he wil ean a commission of |. By keeping the house on the market and expending more etfort to sel the house, the apert can earn a commission of Thus, the agent paine E for the extra effort and time of keeping the house on the market. Supoose a real estate agent has an offer on a house that he owns. The agent has a current offer of s200,000. but can pt a 4% higher offer with more effort and by leaving the house on the market for a few more weeks, Assume that all of the commission is paid…6.33 Statistics released by the National HighwayTraffic Safety Administration and the National SafetyCouncil show that on an average weekend night, 1 outof every 10 drivers on the road is drunk. If 400 driversare randomly checked next Saturday night, what is theprobability that the number of drunk drivers will be(a) less than 32?(b) more than 49?(c) at least 35 but less than 47?A bakery would like you to recommend how many loaves of its famous marble rye bread to bake at the beginning of the day. Each loaf costs the bakery $2.00 and can be sold for $7.00. Leftover loaves at the end of each day are donated to charity. Research has shown that the probabilities for demands of 25, 50, and 75 loaves are 30%, 20%, and 50%, respectively. Make a recommendation for the bakery to bake 25, 50, or 75 loaves each morning. Find the expected monetary value when baking 25 loaves. EMV=$(Type an integer or a decimal.) Find the expected monetary value when baking 50 loaves. EMV = $(Type an integer or a decimal.) Find the expected monetary value when baking 75 loaves. EMV = $ (Type an integer or a decimal.) Make a recommendation for the bakery to bake 25, 50, or 75 loaves each morning. The bakery should bake loaves of bread every morning. O 25 50 75 E
- Q4: An investor invests $1000 a month, on average, in a stock market security. Because the investor must wait for good "buy" opportunity, the actual time of purchase is random. The investor usu- ally keeps the securities for about 3 years on the average but will sell at random times when a good "sell" opportunity presents itself. Although the investor is generally recognized as a shrewd stock market player, past experience indicates that about 25% of the securities decline at about 20% a year. The remaining 75% appreciate at the rate of about 12% a year. Estimate the inves- tor's (long-run) average equity in the stock market. Hint: use the average number of securities in the market.Katie has £20,000 which she keeps in a safe in her flat. It is the only wealth which she has. Sheis thinking about using some of the money to insure against its theft. She thinks there is a(N+5)% chance that it will be stolen, in which case she will never see any of it again. She canfully insure against the loss of the money at a cost of £2000, or she can partially insure. Let Kbe the amount of insurance she buys and r be the premium rate at which insurance is offered(i.e. the price per £ of insurance) so that Katie spends rK on insurance.a) Assume for the time being that the insurance industry is competitive, and insurance isoffered at a fair premium rate. Denote by WG Katie’s wealth if she does not get hermoney stolen (the good state) and by WB her wealth if she does (the bad state). Whatare the equations for WG and WB (as functions of K)? Use these to work out theequation for Katie’s budget constraint.b) Given Katie’s utility function over wealth is u(W) = √W, find out how much…Hhe paypil prbeluces. Drive the first orler Condition of Maximization for lutemediate gad with respect to Pel) Peti -MCtti