# Differential Equations

posted by bryant

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.

## Similar Questions

1. ### Calculus

At the moment OHaganBooks is selling 1000 books per week and its sales are rising at a rate of 200 books per week. Also, it is now selling all its books for \$20 each, but the price is dropping at a rate of \$1 per week. I need to know …
2. ### Calculus

At the moment OHaganBooks is selling 1000 books per week and its sales are rising at a rate of 200 books per week. Also, it is now selling all its books for \$20 each, but the price is dropping at a rate of \$1 per week. I need to know …
3. ### Calculus

At the moment OHaganBooks is selling 1000 books per week and its sales are rising at a rate of 200 books per week. Also, it is now selling all its books for \$20 each, but the price is dropping at a rate of \$1 per week. I need to know …
4. ### statistics

Distance travelled in a week by sales staff employed by nationwide security firm is approximately normally distributed with a mean of 200 miles and standard deviation of 48 miles. Estimate the percentage of staff who in a week travel: …
5. ### Statistics

Distance travelled in a week by sales staff employed by nationwide security firm is approximately normally distributed with a mean of 200 miles and standard deviation of 48 miles. Estimate the percentage of staff who in a week travel: …
6. ### accounting

An employee earns \$40 per hour and 1.75 times that rate for all hours in excess of 40 hours per week. Assume that the employee worked 60 hours during the week, and that the gross pay prior to the current week totaled \$58,000. Assume …
7. ### math

Universal Exporting has three warehouse employees: John Abner earns \$422 per week, Anne Clark earns \$510 per week, and Todd Corbin earns \$695 per week. The company’s SUTA tax rate is 5.4%, and the FUTA rate is 6.2% minus the SUTA. …
8. ### math

Universal Exporting has three warehouse employees: John Abner earns \$422 per week, Anne Clark earns \$510 per week, and Todd Corbin earns \$695 per week. The company’s SUTA tax rate is 5.4%, and the FUTA rate is 6.2% minus the SUTA. …
9. ### math

Universal Exporting has three warehouse employees: John Abner earns \$422 per week, Anne Clark earns \$510 per week, and Todd Corbin earns \$695 per week. The company’s SUTA tax rate is 5.4%, and the FUTA rate is 6.2% minus the SUTA. …
10. ### math

Simon owns a small car wash and detailing center. He charges \$12 per wash. He pays each of his two employees \$12 per hour. The employees each work 40 hours per week. Simon's other costs amount to \$450 per week. Simon wants to earn …

More Similar Questions