Question 940049
{{{ p(x)= -1.2x^2+62.5 x -491}}}
 
 where x represents the number of employees and P is profit in thou-
sands of dollars.
 {{{dp(x)/dx  = (d/dx)* (-1.2x^2+62.5x-491)}}}
      ={{{-2*1.2x+62.5}}}
     = -2.4x+62.5
make {{{ dp(x)/dx  =0}}} to find x where p(x) becomes maximum
     -2.4x +62.5  =0
      move -2.4 to the right
   62.5  = 2.4 x
   divide with 2.4 on both sides
 {{{ 62.5/2.4  =2.4 x/2.4 }}}
   x= 26
 No of employees  = 26 
 Max profit , P(x) = {{{ -1.2* 26^2 +62.5 * 26-491}}}
               p(x) = {{{-811.2+1625-491}}}
                    = 322.8  thousands dollars
               =   $ 322800