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- The government is attempting to determine whetherimmigrants should be tested for a contagious disease. Let’sassume that the decision will be made on a financial basis.Assume that each immigrant who is allowed into the countryand has the disease costs the United States $100,000, andeach immigrant who enters and does not have the diseasewill contribute $10,000 to the national economy. Assumethat 10% of all potential immigrants have the disease. Thegovernment may admit all immigrants, admit no immigrants,or test immigrants for the disease before determiningwhether they should be admitted. It costs $100 to test aperson for the disease; the test result is either positive ornegative. If the test result is positive, the person definitelyhas the disease. However, 20% of all people who do havethe disease test negative. A person who does not have thedisease always tests negative. The government’s goal is tomaximize (per potential immigrant) expected benefits minusexpected costs. Use a decision…Assume that the payoff table provides cost rather than profit payoffs. What is the recommended decision using: Optimistic, Conservative, Minmax Regret, And Laplace MethodSuppose that a consumer cannot vary hours of work as he or she chooses. In particular, he or she must choose between working q hours and not working at all, where q > 0. Suppose that dividend income is zero, and that the consumer pays a tax T if he or she works, and receives a benefit b when not working, interpreted as an unemployment insurance payment. a. If the wage rate increases, how does this affect the consumer’s hours of work? What does this have to say about what we would observe about the behavior of actual consumers when wages change? Explained also with the graph b. Suppose that the unemployment insurance benefit increases. How will this affect hours of work? Explain the implications of this for unemployment insurance programs. Explained also with the graph
- CWD Business systems maintains a successful Telecom sales department for Top up call creditin which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phonecalls to the department are answered automatically by an answering machine and asked to wait.As soon as the clerk is free, the party that has waited the longest is transferred and answered first.Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an averageof 3 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential.The clerk is paid $15 per hour, but because of lost goodwill and sales, CWD loses about $30 perhour of customer time spent waiting for the clerk to take an order. Part B CWD is considering adding a second clerk to take calls. The store would pay that person thesame $15 per hour.Using appropriate formula for the multiple channel model, answer the following questions. a. What is the probability that no customers are…3.6 With the increase in the mobility of the population in the United States and with the increasein home-based employment, there is an inclination to assume that the personal income in theUnited States will become fairly uniform across the country. The following table provides the percapita personal income for each of the 50 states and the District of Columbia.Income(thousands of dollars) Number of States22.0–24.9 525.0–27 .9 1328.0–30.9 1631.0–33.9 934.0–36.9 437 .0–39.9 240.0–42.9 2 Total 51 a. Construct a relative frequency histogram for the income data.b. Describe the shape of the histogram using the standard terminology ofhistograms.c. Would you describe per capita income as being fairly homogenous across…You have conducted a study to determine if there is independence or dependence between market segments (A-C) and prices the segments are willing to pay for a product. The following cross tabular output appears. Under $10 $11-$15 over $15 All A 50 30 20 100 50.00 30.00 20.00 33.33 27.27 50.00 16.67 10.00 6.67 50.00 36.67 13.33 0.000 1.212 3.333 B 40 50 10 100 40.00 50.00 10.00 26.67 45.45 25.00 13.33 16.67 3.33 50.00 36.67 13.33 2.000 4.848 0.833 C 60 30 10 100 60.00 30.00 10.00 40.00 27.27 25.00 20.00 10.00 3.33 50.00 36.67 13.33 2.000 1.212 0.833 All 150 110 40 300…
- Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel alignment and balancing machine. Managers feel that maintenance expense should be related to usage, and they collected the following information on weekly usage (hours) and annual maintenance expense (in hundreds of dollars). Weekly Usage(hours) AnnualMaintenance Expense 19 24 16 29 26 37 34 44 38 54 23 38 30 40 37 46 46 59 44 47 -select your answer choices- b. p-value less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10 Conclusion Do not conclude that there is a significant relationship between expense and weekly usage Conclude that there is a significant relationship between expense and weekly usage d. No, the expected maintenance expense is less than $3000 Yes, the expected maintenance expense is greater than $3000Given the following payoff table with the profits ($m), a firm might expect alternative investments (A, B, C) under different levels of interest rate (attached) (a) Which alternative should the firm choose under the maximax criterion? (b) Which option should the firm choose under the maximin criterion? (c) Which option should the firm choose under the LaPlace criterion? (d) Which option should the firm choose with the Hurwicz criterion with α = 0.2? (e) Using a minimax regret approach, what alternative should the firm choose? (f) Economists have assigned probabilities of 0.35, 0.3, and 0.35 to the possible interest levels 1, 2, and 3 respectively. Using expected monetary values, what option should be chosen and what is that optimal expected value? (g) What is the most that the firm should be willing to pay for additional information? Use Expected Regret (h) Use the alternative method to verify EVPISuppose that 2% of the employed lose their job each month. Further suppose that 25% of the unemployed find a job each month. a. What is the average duration of employment in this labor market? b. Do you think this is a reasonable figure given estimates of the natural rate? Why or why not? c. If you wanted to reduce the steady-state level of unemployment, what type of policies might you pursue and why?
- There is some evidence that, in the years 1981-85, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v.6, pp. 320-35,1987.) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.87 %, with a standard deviation of 16 %. Suppose that this mean and standard deviation apply to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. (a) According to Chebyshev's theorem, at least…1.9 A local television station plans to drop three Friday evening programs at the end of the season. Steve Botuchis, the station manager, developed a list of three potential replacement programs. Estimates of the advertising revenue (in dollars) that can be expected for each of the new programs in the three vacated time slots are as in Table 3. Mr. Botuchis asked you to find the assignment of programs to time slots that will maximize total advertising revenue.The manager of the purchasing department of a large banking organization would like to develop a model to predict the amount of time it takes to process invoices. Data are collected from a sample of 30 days with the following results: Relating time to invoices processed. Day Invoices Processed Completion Time (hours) Day Invoices Processed Completion Time (hours) 1 149 2.1 16 169 2.5 2 60 1.8 17 190 2.9 3 188 2.3 18 233 3.4 4 19 0.3 19 289 4.1 5 201 2.7 20 45 1.2 6 58 1.0 21 193 2.5 7 77 1.7 22 70 1.8 8 222…