Explore BrainMass

Find the Local Minimum

Please see the attached file for the fully formatted problems.

The profit P(t) for a firm as a function of time (t) is described by the equation
P(t) = t ? 3/8 t^2 + 1/24t^3
For 0 < t =< 10 show that there is exactly one local minimum, and find the value of t at which it occurs. Is the profit positive at this local minimum?


Solution Preview

Actually,we rewrite the equation as P(t)=1/24*t*(t^2-9*t+24).And we notice ...

Solution Summary

The local minimum of a function is found.