Differential Equations

A government agency has a current staff of 5000, of whom 25% are women. Employees are quitting randomly at the rate of 100 per week. Replacements are being hired at the rate of 50 per week, with the requirement that half be women.
Interested in the rate of women coming in and out.

Set up a differential equation to the model the situation.

My first mistake I'm guessing was thinking about this like a mixture problem. The answer is dW/dt = 25 - 2W/(100 - t).

Can someone explain to me the thought process? I have no idea where the 't' comes from and why 100 is being subtracted by it. The 2W as well I have no idea about.

asked by bryant

Respond to this Question

First Name

Your Response

Similar Questions


    what characteritics do bureaucracies share? check all that apply Formal rules generalization clearly defined goals chain of command elected staff which of the following is part of the executive branch bureaucracy? the president's
  2. American Government

    1) What characteristics do bureaucracies share? Select all that apply. A) formal rules** B) generalized jobs** C) clearly defined goals D) chain of command** E) elected staff 2) Which of the following is part of the executive
  3. English

    One of this _______ duties is to keep a record of all ___________ wages. 1. agency's employee's 2. angency's employees' 3. agencies' employees 4. agency's employees agency's employees'
  4. american goverment check answers

    3.  The National Science Foundation (NSF) raises money for scientific projects and research in the United States. What kind of agency is the NSF? (1 point) staff agency line agency legislative agency

    ostain contact information for thrtee agencies in your community that provide resoure for children with disabilities. then u must have agency name. agency staff member to contact. agency telephone number
  6. government

    a staff agency a. supports other workers b. runs programs c. regulates businesses d. does business-like work c
  7. Calculus

    A travel agency currently has 80plp signed up a tour. The price of a ticket is $5000 per person. The agency has chatered a plane seating 150 plp at a cost of $250000. Additional costs to the agency are incidental fees of $300 per
  8. Economics

    Women are less likely to be member of labor unions because: A. Fewer women work in blue collar unionized industries. B. Women are less likely to pay union dues. C. More women work in agency shop situations. D. Women earn about 60
  9. Math

    A fast food shop plans to employ 8 full-time staff and some part-time staff.Suppose that the daily wages for a full-time staff and a part-time staff are $350 and $250 respectively. In order to control the daily running cost, the
  10. Psychology

    What would a Stress Reduction Specialist do to reduce the stress for the staff considering these following conditions: there are ten men and ten women of various ages and cultural backgrounds. The office is a medical office with

More Similar Questions