We Hire Today a Firm Specializing in Temporary Employment Opportunities $P=-0.25 X^{2}+100 X+5000$

Essay

We hire today a firm specializing in temporary employment opportunities in New Orleans, after the damages of Hurricane Katrina, which has developed a profit function for November 2005 given by $P=-0.25 X^{2}+100 X+5000$ , where $\mathrm{X}$ is the number of employees hired in November 2005 . What should be their target employment for November in order to maximize their profit for November? Their current facilities have sufficient capacity to accommodate, at most, 400 new-hires in November 2005.