find the critical points, x*, for the following function, and for each critical point specify if it is a maximum, a mini mum, or an inflexion point: 3 2 X +1 2 f(x)
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- 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…A villager estimates that if he picks his orange crop now, he will obtain 2000 boxes ofapples, which he can sell at $5 per box. However, he thinks his crop will increase by 150boxes of apples for each week he delays picking, but that the price will drop at a rate of$0.25 per box per week; in addition, he estimates approximately 30 boxes per week willspoil for each week he delays picking. When should he pick his crop to obtain the largesttotal cash return? How much will he receive for his crop at that time?A company estimated that the relationship between the unit price and demand per month for a potential new product is approximated by P = $ 100 – $ 0.1D. The company can produce the product by increasing fixed costs $ 17,500 per month, and the estimated variable costs is $ 40 per unit. What is the optimal demand, D*, and based on this demand, should the company produce new product? Why? a) Work out the complete solution by differential calculus, starting with formula for profit or loss per month b) Solve graphically for an approximate answer
- Give me correct andswer with poper calculation and full explanation otherwise i give multiple down vote Note:- Please avoid using ChatGPT and refrain from providing handwritten solutions; otherwise, I will definitely give a downvote. Also, be mindful of plagiarism. Answer completely and accurate answer. Rest assured, you will receive an upvote if the answer is accurate.Is this right or wrong (The question is the screenshot) (A) We want to minimize the cost function C(x, y) = 9x + 12y subject to the constraint U(x, y) =x (y + 3) = 128.9 and non-negativity constraints × ≥ 0 and y ≥ 0 We set up the Lagrangian: L(x, y, λ) = C(x, y) - λ(U(x, y) - 128.9) Now, we calculate the partial derivatives with respect to x, y, and 1: ∂L/∂x = 9 - λ(y + 3) ∂L/∂y = 12 - λX ∂L/λ = 128.9 - U(x, y) Setting these partial derivatives equal to zero, we have: 9 - λ(y + 3) = 0 2 12 - λx = 0 128.9 - x(y + 3) = 0 From equation 2, we get λ= 12/x. Substituting A into equations 1 and 3: 9 - (12/x)(y + 3) = 0 2. 128.9 - xY - 3x = 0 Now, we can solve this system of equations simultaneously. Let's start by solving equation 2 for X: 128.9 - xy - 3x = 0 xy = 128.9 - 3x Now, substitute this into equation 1: 9 - (12/x)(y + 3) = 0 9-(12/x)(128.9 - 3x + 3) = 0 9- (12/x)(131.9 -3x) = 0 9 -1,582.8/x + 36x = 0 Multiply through by x to get rid of the fraction: 9x - 1.582.8 ÷…can you o=please solve this simple qouestoin
- Please give me correct answer and full explanation with calculation otherwise i give single downvote and please draw carefully Note:- Please avoid using ChatGPT and refrain from providing handwritten solutions; otherwise, I will definitely give a downvote. Also, be mindful of plagiarism. Answer completely and accurate answer. Rest assured, you will receive an upvote if the answer is accurate.Critics of command-and-control policy often argue that regulationsare costly to business and industry, yet cost-benefitanalyses (p. 94) repeatedly show that regulations bring citizensmore benefits than costs, overall. Each year the U.S. Officeof Management and Budget assesses costs and benefits ofmajor federal regulations of administrative agencies. Resultsfrom the most recent report, covering the decade from 2003to 2013, are presented in the table (shown are averages fromranges of estimates). Subtract costs from benefits, and enterthese values for each agency in the third column. Divide benefitsby costs, and enter these values in the fourth column. For how many of the agencies shown do regulations exertmore costs than benefits? For how many do regulationsprovide more benefits than costs?Critics of command-and-control policy often argue that regulationsare costly to business and industry, yet cost-benefitanalyses (p. 94) repeatedly show that regulations bring citizensmore benefits than costs, overall. Each year the U.S. Officeof Management and Budget assesses costs and benefits ofmajor federal regulations of administrative agencies. Resultsfrom the most recent report, covering the decade from 2003to 2013, are presented in the table (shown are averages fromranges of estimates). Subtract costs from benefits, and enterthese values for each agency in the third column. Divide benefitsby costs, and enter these values in the fourth column. What percentage of total benefits from regulations comesfrom EPA regulations? Most of the benefits and costs fromEPA regulations are from air pollution rules resulting fromthe Clean Air Act and its amendments. Judging solely bythese data, would you say that Clean Air Act legislationhas been a success or a failure for U.S. citizens? Why?
- Critics of command-and-control policy often argue that regulationsare costly to business and industry, yet cost-benefitanalyses (p. 94) repeatedly show that regulations bring citizensmore benefits than costs, overall. Each year the U.S. Officeof Management and Budget assesses costs and benefits ofmajor federal regulations of administrative agencies. Resultsfrom the most recent report, covering the decade from 2003to 2013, are presented in the table (shown are averages fromranges of estimates). Subtract costs from benefits, and enterthese values for each agency in the third column. Divide benefitsby costs, and enter these values in the fourth column. Which agency’s regulations have the greatest excess ofbenefits over costs? Which agency’s regulations have thegreatest ratio of benefits to costs?Givew me correct and proper answer with calculation otherwise i give multiple downwote Note:- Please avoid using ChatGPT and refrain from providing handwritten solutions; otherwise, I will definitely give a downvote. Also, be mindful of plagiarism. Answer completely and accurate answer. Rest assured, you will receive an upvote if the answer is accurate.DEPENDENT VARIABLE Qc R- SQUARE P- VALUE ON F 64 0.8093 0.0001 INDEPENDENTVARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54 1.64 -2.16 0.0357 M 0.64287 0.19 3.38 0.0014 PA 0.7854 0.38 2.07 0.0439 7. If the price of asphalt (PR) decreases by 15, what will happen to the estimated quantity of cement demanded? Q = f( P, M, PR) where Qc = demand for cement/month (in yards) Pc = the price of cement per yard, M = country’s tax revenues per capita, and PR = the price of asphalt per yard.