A firm manufacturing 2000 items estimates dPdx=100-12 x.

Question

A firm manufacturing 2000 items estimates $\dfrac{dP}{dx}=100-12\sqrt x$. If 25 more workers are employed, the new production level is:

Accepted Answer

$P = 100x-8x^{3/2}+C$; $C=2000$. At $x=25$: $P=2500-1000+2000=3500$.

Solutions · 1