The population of salmon next year is given by (S) = Ser (1-S/P) , where S is
Question:
The population of salmon next year is given by ƒ(S) = Ser(1-S/P), where S is this year’s salmon population, P is the equilibrium population, and r is a constant that depends upon how fast the population grows. The number of salmon that can be fished next year while keeping the population the same is H(S) = ƒ(S) - S. The maximum value of H(S) is the maximum sustainable harvest.
(a) Show that the maximum sustainable harvest occurs when ƒ′(S) = 1.
(b) Let the value of S found in part (a) be denoted by S0. Show that the maximum sustainable harvest is given by
Transcribed Image Text:
Sol 1 1 - rS /P -1).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 83% (6 reviews)
a b Using HS from part ...View the full answer
Answered By
Ashington Waweru
I am a lecturer, research writer and also a qualified financial analyst and accountant. I am qualified and articulate in many disciplines including English, Accounting, Finance, Quantitative spreadsheet analysis, Economics, and Statistics. I am an expert with sixteen years of experience in online industry-related work. I have a master's in business administration and a bachelor’s degree in education, accounting, and economics options.
I am a writer and proofreading expert with sixteen years of experience in online writing, proofreading, and text editing. I have vast knowledge and experience in writing techniques and styles such as APA, ASA, MLA, Chicago, Turabian, IEEE, and many others.
I am also an online blogger and research writer with sixteen years of writing and proofreading articles and reports. I have written many scripts and articles for blogs, and I also specialize in search engine
I have sixteen years of experience in Excel data entry, Excel data analysis, R-studio quantitative analysis, SPSS quantitative analysis, research writing, and proofreading articles and reports. I will deliver the highest quality online and offline Excel, R, SPSS, and other spreadsheet solutions within your operational deadlines. I have also compiled many original Excel quantitative and text spreadsheets which solve client’s problems in my research writing career.
I have extensive enterprise resource planning accounting, financial modeling, financial reporting, and company analysis: customer relationship management, enterprise resource planning, financial accounting projects, and corporate finance.
I am articulate in psychology, engineering, nursing, counseling, project management, accounting, finance, quantitative spreadsheet analysis, statistical and economic analysis, among many other industry fields and academic disciplines. I work to solve problems and provide accurate and credible solutions and research reports in all industries in the global economy.
I have taught and conducted masters and Ph.D. thesis research for specialists in Quantitative finance, Financial Accounting, Actuarial science, Macroeconomics, Microeconomics, Risk Management, Managerial Economics, Engineering Economics, Financial economics, Taxation and many other disciplines including water engineering, psychology, e-commerce, mechanical engineering, leadership and many others.
I have developed many courses on online websites like Teachable and Thinkific. I also developed an accounting reporting automation software project for Utafiti sacco located at ILRI Uthiru Kenya when I was working there in year 2001.
I am a mature, self-motivated worker who delivers high-quality, on-time reports which solve client’s problems accurately.
I have written many academic and professional industry research papers and tutored many clients from college to university undergraduate, master's and Ph.D. students, and corporate professionals. I anticipate your hiring me.
I know I will deliver the highest quality work you will find anywhere to award me your project work. Please note that I am looking for a long-term work relationship with you. I look forward to you delivering the best service to you.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The sales decay for a product is given by S = 50,000e-0.8x, where S is the monthly sales and x is the number of months that have passed since the end of a promotional campaign. (a) What will be the...
-
The sales decay for a product is given by S = 50,000e-0.1x, where S is the weekly sales (in dollars) and x is the number of weeks that have passed since the end of an advertising campaign. (a) What...
-
The position of a particle is given by s = 0.27t 3 0.65t 2 2.35t + 4.4, where s is in feet and the time t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for...
-
Explain why it has been suggested that the new rules in IFRS 16 could bring the biggest shake-up to retailers financial statements for decades.
-
Marvelettes Company provided the following information: Standard fixed overhead rate (SFOR) per direct labor hour .....$ 5.00 Actual fixed overhead rate (AFOR) per direct labor hour .......$ 5.03...
-
Most supersonic planes produce exhaust of hot gases containing many compounds, including nitric oxide (NO). Nitric oxide is a radical that is believed to play a role in ozone depletion. Propose...
-
Show how, in the end, the investor always pays too much for the option. Why is this statement absurd?
-
Refer to the financial statements for Castile Products, Inc., in Exercise 16-7. Assets at the beginning of the year totaled $280,000, and the stockholders equity totaled $161,600. Required: Compute...
-
> X= y 2 (9,3) A) 45 B) 27 (9.-3) C) 36 D) 18
-
A cone has a known height of 7.284 in. The radius of the base is measured as 1.09 in., with a possible error of 0.007 in. Estimate the maximum error in the volume of the cone.
-
The total profit (in tens of dollars) from the sale of x hundred boxes of candy is given by P(x) = -x 3 + 10x 2 - 12x. (a) Find the number of boxes of candy that should be sold in order to produce...
-
Simplify. (32) (+4)
-
Carbon tetrachloride is an organic compound known with thechemical formula CCl4. It is also known by many names such as tetrachloromethane by the IUPAC, carbontetrachloride in the cleaning industry,...
-
Explain why selling benefits and features is more effective than only selling features. Use an example to support your explanation relating to the hospitality industry.
-
"Draw a hydraulic circuit diagram that can be used in an industrial application, with at least 4 cylinders, related directional control valves, and/or pressure sequencing/reduction functions...
-
12:23 1 y"+2/x "y'-2/x^2 *y=lnx WolframAlpha Input 2 y'(x) + y (x) - Y(x) = log(x) Euler-Cauchy equation xy" (x) + 2xy'(x) - 2 y(x) = x log(x) ODE classification second-order linear ordinary...
-
Given: nested for loops for m in (0, 10, 20): for n in range(3, 6, 2): print (f'm={m: 2} n={n:2}', m * (n-2)) Re-write the code using nested while loops instead (i.e., replace each for by an...
-
Innerscape Interiors is owned and operated by Jackie Vargo, an interior decorator. In the ledger of Innerscape Interiors, the first digit of the account number indicates itsmajor account...
-
Conduct a VRIO analysis by ranking Husson University (in Maine) business school in terms of the following six dimensions relative to the top three rival schools. If you were the dean with a limited...
-
For each function, find (a) The critical numbers; (b) The open intervals where the function is increasing; (c) The open intervals where it is decreasing. f(x) = (x + 1) 4/5
-
For each function, find (a) The critical numbers; (b) The open intervals where the function is increasing; (c) The open intervals where it is decreasing. f(x) = x 2/3
-
For each function, find (a) The critical numbers; (b) The open intervals where the function is increasing; (c) The open intervals where it is decreasing. y = x9 x 2
-
3 Case Study 3: Ethics & Investments Evaluate ethical dilemmas regarding investments and recommend solutions. Suppose you work as a financial planner and run your own office with five employees. You...
-
it refnanced some of its long-term debt early in 2020, before the fnancialstatements were issued. The debt continues to be classifed as non-currenton the 2019 statement of fnancial position. That...
-
Client B wants to increase their investment returns. Licensee B is happy to make recommendations because they want to increase their income. However, before they make any recommendations to Client B,...
Study smarter with the SolutionInn App