Jeremiah took consulting work for the local jewelry business to help the owner understand their customers' value. After considering a typical customer's revenue contribution, the cost to serve the customer, the discount rate, and the customer retention rate, he calculated that the expected value of this customer in period N is $150. He assumes that this customer makes the same revenue contribution across all periods and that the cost to serve this customer is the same across all periods. With a discount rate being 5% and a retention rate be 85%, what is the expected value of the customer in period N+1? Choose the closest amount below. a. $100 b. $110 c. $120 d. $130 e. $140
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- Hello can any one help with this Economics question: A contractor spends Dollar 3,000 to prepare for a bid on a construction project which, after deducting manufacturing expenses and the cost of bidding, will yield a profit of dollar 25,000 if the bid is won. If the chance of winning the bid is ten per cent, compute his expected profit and state the likely decision on whether to bid or not to bid?A farmer believes there is an equal chance that the next growing season will be abnormallyrainy. His expected return function has the formExpected return = 0.5lnYNR + 0.5lnYRwhere YNR and YR represent the farmer’s income in the states of “normal rain”and “rainy,” respectively.Suppose the farmer must choose between two crops that promise the following incomeprospects:Crop YNR YRMaize $14,000 $5,000Cotton $9,500 $7,500a) Which of the crops will he plant?b) Suppose the farmer can plant half his field with each crop. Would he choose to do so?Explain your result.c) What mix of Maize and Cotton would provide maximum expected utility to this farmer?d) Would Maize crop insurance, available to farmers who grow only Maize, which costs$2,000 and pays off $4,000 in the event of a rainy growing season, cause this farmer tochange what he plants?The Constant Relative Risk Aversion (CRRA) utility function is a widely used specifica- tion of preferences in economics that captures risk aversion and intertemporal consump- tion smoothing. The CRRA utility function has the desirable property that the degree of risk aversion is constant and independent of the level of consumption. This means that as a household's consumption grows, its willingness to take risks remains the same. The coefficient of relative risk aversion (σ) measures the extent to which households are risk- averse and prefer a smooth consumption path over time. A higher value of σ indicates a greater degree of risk aversion and a stronger preference for consumption smoothing. Consider a two-period endowment economy with a large number of identical house- holds. Each household has the following lifetime utility function: U(j) = C+(j) 1-0 - 1 1-σ +ẞ C++1(j) 1-0 - 1 1-σ where C₁(j) and C++1(j) are consumption in periods t and t + 1 for household j, re- spectively, ẞ is…
- 8. Suppose that a sales force has found 20 qualified buyers and has begun the sales process. The sales manager estimates that 10% eventually proceeds to make a purchase. Assume that a professional company offers three services, priced at $2,000, $7,000 and $20,000, respectively. Based on past results or the sales manager’s estimates, you project that 60% of first-time buyers will choose the cheapest option, 30% will choose the middle option and 10% will choose the most expensive option. a. Calculate the size of a likely sale for any prospect that makes a purchase. b. How many qualified buyers must be found in order for the company to generate $80,000 in sales in a given period? Your final answer must be rounded to the nearest whole number.The market demand for the newest smartphone is 1 million units. The selling price for the LG phone is $400.00. The cost is $100 per unit. LG currently has market share of 10 percent. The marketing and sales expense is $5 million. Assume market demand grows by 20%. Given the 20% increase in market demand, LG maintains its market share of 10%, selling price of $400, unit cost of $100, and marketing and sales expense of $5 million. What is the new net marketing contribution (NMC)? O a. $36 million Ob. $31 million O. S7 million O d. $12 millionWanda works as a waitress and consequently has the opportunity to earn cash tips that are not reported by her employer to the Internal Revenue Service. Her tip income is rather variable. In a good year (G), she earns a high income, so her tax liability to the IRS is $5000. In a bad year (B), she earns a low income, and her tax liability to the IRS is $0. The IRS knows that the probability of her having a good year is 0.6, and the probability of her having a bad year is 0.4, but it doesn’t know for sure which outcome has resulted for her this tax year. In this game, first Wanda decides how much income to report to the IRS. If she reports high income (H), she pays the IRS $5000. If she reports low income (L), she pays the IRS $0. Then the IRS has to decide whether to audit Wanda. If she reports high income, they do not audit, because they automatically know they’re already receiving the tax payment Wanda owes. If she reports low income, then the IRS can either audit (A) or not audit…
- FIVE. Which of the following is true about standard deviation? The first step in calculating the standard deviation is calculating the square root. The second step in calculating the standard deviation is to subtract each measurement from the intermediate value and then square that difference. The last step in calculating the standard deviation is to sum the squared values and divide by the number of values minus one. Standard deviation is a type of average where the positive and negative numbers sum to zero. The amount of difference of the measurements from the central value is called the sample standard deviation.Consider a worker who works for at most two periods (say, when young and when old) at a particular firm. Each period, the worker can choose between exerting high effort and exerting low effort. The worker's cost of exerting high effort are Cy when young and Co when old. The worker's cost of exerting low effort are zero. The effort of the worker is difficult to observe by the firm. With probability T, the firm observes the worker's effort at the end of a period. With the remaining probability, the firm does not observe the worker's effort. The firm can only fire the worker when it observed that the worker has shirked. In that case, the firm is also allowed to withhold the worker's wage for the period in which the worker was caught shirking. When exerting high effort, the worker's productivity is q, when young and q, when old. When exerting low effort, the worker's productivity is zero. The worker's value of alternative job opportunities is when young and v, when old. For simplicity, the…5. Shift-in-charge Nazar Al Rushdy: Nazar is pessimistic about the market price. What is your guidance for Nazar? The decision to employ decision trees in crucial situations has been taken by Salem Al Harthi, the plant manager. The table below presents data on demand for a duration of 6 hours along with their respective probabilities. The first row of the table provides the probability of demand for the initial three hours when a leak occurs, denoted in parentheses. Subsequently, the following three rows indicate the probabilities of high, medium, and low demand for the succeeding three hours. To illustrate, if the initial 3-hour market price was low, the probabilities of high demand, medium demand, and low demand in the next three hours are 0.2, 0.3, and 0.5, respectively. Market price High Market price Medium Initial 3-hrs (0.2) Initial 3-hrs (0.5) Market price Low Initial 3-hrs (0.3) High demand (next (0.5) (0.4) (0.2) 3 hrs) Medium demand (0.3) (0.2) (0.3) (next 3 hours) Low demand…
- The Minister of Transport released its Festive season road accident statistics which shows that the probability of drivers committing an accident is 8% with utility , where H standsfor year income.The Minister further claims these Festive season road accidents cost the state (in terms of claims lodged) an average of R84 000 per annum. The Road Accident Fund is an insurance scheme providing compulsory indemnity cover to victims of vehicle accidents and taxi drivers. (a) Suppose that an average commuter earns R84 000 per annum. What is the expected utility of each commuter if the driver decides not to take insurance. (b) What is the cost of insurance policy to the Road Accident Fund? (c) Due to high accident rates in South Africa during the Festive season, the Road AccidentFund has issued a warning to government that the fund will be insolvent soon. Advise the Minister on the cost of insurance that can collapse the scheme. please answer a,b,ca. Suppose that you took part in a lottery that has a chance to increase, decrease or have no effect on your level of income. With probability 0.5, your income remains at it original level K500; with 0.2 probability, your income increases to K700; and with probability 0.3, your income decreases to K400. The utility function is.u(1) =I^0.7where I denote income leveli.Using the utility function show that the consumer's risk preference is averse. (2marks)ii.Calculate both the EU and EV of the income. (4marks)iii.Using the results in (il) above, indicate the attitude to risk of this consumer. (2marks)a) Explain what is meant by risk aversion, and illustrate with the help of a figure out what we mean by the term "risk premium". Suppose Donald runs hotels and casinos, which makes one very insecure income. With probability 1 the income becomes 100 and with probability 1 the 64th Donald's expected income is thus equal to 82. Further assume that the utility to Donald is a a function of income, and that it is given by U (x) = 2x 12 x is the income level. b) Calculate Donald's expected utility.