At present,a firm is manufacturing $2000 \;items$. It is estimated that the rate of change of production P w.r.t. additional number of workers x is given by $\large\frac{dp}{dx}$$=100 12 \sqrt {x}$. If the firm employs 25 more workers, then the new level of production of items is :

Question

$\begin{array}{1 1} (1) 2500 \\ (2) 3000 \\ (3) 3500 \\ (4) 4500 \end {array}$