A company selling widgets has found that the number of items sold, x, depends upon the price, p at which 70000 they're sold, according the equation a = (0.6p + 1) Due to inflation and increasing health benefit costs, the company has been increasing the price by $0.03 per month. Find the rate at which revenue is changing when the company is selling widgets at $3 each. Revenue is decreasing by dollars per month Hint: Give your answer as a positive value.
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- which of the following is a good expression for the SRAS Y= Yp Y=Af(K,L,N,H) Y= Yp +a (Pa-Pe) Y=C+I+G+NXBell Greenhouses has estimated its monthly demand for potting soil to be the following:N = 400 + 4Xwhere N = monthly demand for bags of potting soilX = time periods in months (March 2006 = 0)Assume this trend factor is expected to remain stable in the foreseeable future. The following table contains the monthly seasonal adjustment factors, which have been estimated using actual sales data from the past five years:MONTH ADJUSTMENT FACTOR (%)March +2June +15August +10December −12a. Forecast Bell Greenhouses’ demand for potting soil in March, June, August, and December 2007.b. If the following table shows the forecasted and actual potting soil sales by Bell Greenhouses for April in five different years, determine the seasonal adjustment factor to be used in making an April 2008 forecast.YEAR FORECAST ACTUAL 2007 500 515 2006 452…Metropolitan Hospital has estimated its average monthly bed needs asN = 1;000 + 9Xwhere X = time period (months); January 2002 = 0N = monthly bed needsAssume that no new hospital additions are expected in the area in the foreseeable future. The following monthly seasonal adjustment factors have been estimated, using data from the past five years:MONTH ADJUSTMENT FACTOR (%)January +5April −15July +4November −5December −25a. Forecast Metropolitan’s bed demand for January, April, July, November, and December 2007.b. If the following actual and forecast values for June bed demands have been recorded, what seasonal adjustment factor would you recommend be used in making future June forecasts?YEAR FORECAST ACTUAL2007 1,045 1,0962006 937…
- Please annswer numbers 2 and 3A 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?Suppose MPC of John is 3/4 if his breakeven occurs at 7000 how much John needs to borrow if his income is 3000
- Pls do fastThe IV monotonicity assumption states that cov(z,u) = 0. True or falseQ6 Suppose that at time t=0, half of a "logistic" population of 100000 persons have heard a certain rumor and that the number of those who have heard it is then increasing at the rate of 500 persons per day. How long will it take for this rumor to spread to 80% of the population? ( Suggestion: Find the value of k by substituting P(0) and P'(0) in the logistic equation) a. About 98 days b. About 34 days c. About 19 days d. About 69 days e. About 119 days
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