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- Suppose now that the government decides to increase the number of quotas available to 72 units, but keeps the price support at the current level of $72. calculate the consumer surplus the producer surplus Deadweight loss which if the two options would be preferred by the producers? which of the two options would be preferred by a society as a whole?The following graph shows the labor market for research assistants in the fictional country of Collegia. The equilibrium wage is $10 per hour, and the equilibrium number of research assistants is 200. Suppose the government has decided to institute a $2-per-hour payroll tax on research assistants and is trying to determine whether the tax should be levied on the employer, the workers, or both (such that half the tax is collected from each side). Use the graph input tool to evaluate these three proposals. Entering a number into the Tax Levied on Employers field (initially set at zero dollars per hour) shifts the demand curve down by the amount you enter, and entering a number into the Tax Levied on Workers field (initially set at zero dollars per hour) shifts the supply curve up by the amount you enter. To determine the before-tax wage for each tax proposal, adjust the amount in the Wage field until the quantity of labor supplied equals the quantity of labor demanded. You will not be…2- A multimedia company anticipates that there will be a demand for 20,000 copies of acertain DVD during the next year. It costs the company $0.40 to store a DVD for oneyear. Each time it must make additional DVDs, it costs $250 to set up the equipment.How many DVDs should the company make during each production run to minimize itstotal storage and setup costs?
- A private investment club has $200,000 earmarked for investment in stocks. To arrive at anacceptable overall level of risk, the stocks that management is considering have been classifiedinto three categories: high risk, medium risk, and low risk. Management estimates that high-riskstocks will have a rate of return of 15%/year; medium-risk stocks, 10%/year; and low-risk stocks,6%/year. The members have decided that the investment in low-risk stocks should be equal tothe sum of the investments in the stocks of the other two categories. Determine how much theclub should invest in each type of stock if the investment goal is to have a return of$20,000/year on the total investment. (Assume that all the money available for investment isinvested.)Note: Develop the linear system of equations from the above theory and solve the system byGauss Jordon Method.A manufacturing company had won a contract to supply 109200 units of a product to a customer.The production planing and control department of the company has estimated the production in the first week to be 8,000 units,but that by recruiting and training some extra staff,output will rise by 200 units each week . a. When would the company be able to complete the contract. B.If the recruitment of staff does not go as well as expected so that after six weeks ,weekly production remains constant at the level achieved in the sixth week.how long would it take to complete the contractNiue Vanilla has had two successive years in which the Vanilla bean harvest has stretched the firm’s capacity within their drying sheds. Pita, the manger for the drying operation must now make a decision on capacity for next year. Estimated profits under each of the three possible states of nature are as shown in the table below, along with 3 possible alternatives he is considering: Do Nothing, Expand the Drying Shed operation, or Subcontract to a local farmer group who can do some of the drying. Which alternative should be selected if the decision criterion is: Maximax? Maximin?
- A bank with a branch located in a commercial district of a city has the business objective of developing an improved process for serving customers during the noon-to-1pm lunch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the number of minutes that elapse from when the customer enters the queue until he/she reaches the teller’s window. In addition, suppose that another branch, located in a residential area, is also concerned with improving the process of serving customers in the noon-to-1 pm lunch period and data were collected at random at these branches and recorded below; No of Customers Commercial dist branch (time) Residential area branch (time) 1 – 5 3 3 6 - 10 5 6 11 - 15 8 5 16 – 20 8 3 21 - 25 4 2 Required Which of the branches has a relatively better mean waiting time? Which shop can be surer of meeting the mean waiting time at the two branches? Assuming…An oil explorer must decide whether to drill on a site before her option expires or to abandon her rights to the site. Drilling a well costs $100,000. If oil is struck, the explorer will sell and make a $500,000 profit. The explorer can hire a geologist to take a seismic sounding of the site at the cost of $10,000. Such soundings reveal, with certainty, whether the geophysical substructure of the land is of type A, type B or Type C, where each type has a different degree of favorability for the existence of oil. From experience, the probability that a certain substructure will occur, given that oil exists, is P(type A|oil) = 14/28 P(type B|oil) = 9/28 P(type C|oil) = 5/28. Further, the following probabilities for substructures at this site are P(type A) = 0.20 P(type B) = 0.30 P(type C) = 0.50 given that P(oil) = 0.28. Perform a decision tree analysis. Determine the EVPI and EVE.Suppose 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?
- A municipal solid-waste site for a city must be located at Site A or Site B. After sorting, some of the solid refuse will be transported to an electric powerplant where it will be used as fuel. Data for the hauling of refuse from each site to the power plant are shown in Table P2-4. If the power plant will pay $8.00 per cubic yard of sorted solid waste delivered to the plant, where should the solid-waste site be located? Use the city’s viewpoint and assume that 200,000 cubic yards of refuse will be hauled to the plant for one year only. One site must be selected.In 1969, the National Academy of Sciences published a study titled "Resources and Man." That study places "the earth's ultimate carrying capacity at about 30 billion people, at a level of chronic near-starvation for the great majority (and with massive immigration to the now less-densely populated lands)!" The study goes on to state that 10 billion people is "close to (if not above) the maximum that an intensively managed world might hope to support with some degree of comfort and individual choice." The world population in 1990 was 5.283 billion; in 2000, it was 6.082 billion. (a) Develop the mathematical model that represents world population. (Write your model in terms of t, where t is the number of years after 1990. Let p represent the world population in billions. Round the coefficient of t to seven decimal places.) p(t) = ? (b) Use the model to predict when world population would reach the "somewhat comfortable" level of 10 billion. (Round your answer to the nearest whole…The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patients as well as high-income patients. State regulations require that every subsidized nursing home must house a minimum of 760 homeless patients and no more than 800 high-income patients in order to qualify for state subsidies. The overall capacity of the hospital is to be 2,100 patients. The board of directors, under pressure from a neighborhood group, insists that the number of homeless patients should not exceed twice the number of high-income patients. Due to the state subsidy, the hospital will make an average profit of $9,800 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $7,800 per month. How many of each type of patient should it house in order to maximize profit? (If an answer does not exist, enter DNE.) high-income patients homeless patients profit