Posted by **bryant** on Tuesday, October 30, 2012 at 6:18pm.

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.

## Answer This Question

## Related Questions

- Statistics - Distance travelled in a week by sales staff employed by nationwide ...
- statistics - Distance travelled in a week by sales staff employed by nationwide ...
- Calculus - At the moment OHaganBooks is selling 1000 books per week and its ...
- Calculus - At the moment OHaganBooks is selling 1000 books per week and its ...
- Calculus - At the moment OHaganBooks is selling 1000 books per week and its ...
- accounting - An employee earns $40 per hour and 1.75 times that rate for all ...
- accounting - An employee earns $40 per hour and 1.75 times that rate for all ...
- math - The average cost per item, C, in dollars, of manufacturing a quantity q ...
- math - The average cost per item, C, in dollars, of manufacturing a quantity q ...
- math - Universal Exporting has three warehouse employees: John Abner earns $422 ...

More Related Questions